Googolism - Part 3：修订间差异

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Linear omega level

Part 3.1: $f_{ω} (f_{3} (10))$ ~ $f_{ω + 1} (f_{3} (10))$

Giggotri, {10, 10, {10, 100, 2}}
Great grangol / Grangolsuplex, E100##2#2
Grangolsuplexigong, E100,000##2#2
Googoldexisuplex, E100##(E100#1#2)
Googolplexidexisuplex, E100##(E100#2#2)
Grangoldexisuplex, E100##(E100#100#2)
Grangoldudexisuplex, E100##(E100#100#3)
Moser, 2[2[5, 2]] in a mega-gon
Joyce's tetratri, g(2,1,1,4,3,3)
Tritriplex, {3,3,1,2}
Grand Moser, 3[3[5, 3]] in a Grand Mega-gon
Great Moser, 4[4[5, 4]] in a Great Mega-gon
Gong Moser, 5[5[5, 5]] in a Gong Mega-gon
Gaggotri, {10, 10, {10, 100, 3}}
Mosiston, 10 in a megiston-gon
Great greagol / Greagolsuplex, E100##3#2
Graham grahal / grabio, $g_{2} = 3 \underset{3 ↑ ↑ ↑ ↑ 3}{\underset{⏟}{↑ ↑ \dots ↑ ↑}} 3$
Greagolthrexisuplex, E100##(E100#100#100#2)
Tritetplex, {4, 3, 1, 2}
Zertrearmix, [0]↤[0]↤[3]
Geegotri, {10, 10, {10, 100, 4}}
Great gigangol / Gigangolsuplex, E100##4#2
Tripentplex, {5, 3, 1, 2}
Gigotri, {10, 10, {10, 100, 5}}
Great gorgegol / Gorgegolsuplex, E100##5#2
Trihexplex, {6, 3, 1, 2}
Goggotri, {10, 10, {10, 100, 6}}
Great gulgol / Gulgolsuplex, E100##6#2
Triheptplex, {7, 3, 1, 2}
Gagotri, {10, 10, {10, 100, 7}}
Great gaspgol / Gaspgolsuplex, E100##7#2
Trioctplex, {8, 3, 1, 2}
Great ginorgol / Ginorgolsuplex, E100##8#2
Triennplex, {9, 3, 1, 2}
Great gargantuul / Gargantuulsuplex, E100##9#2
Tridecalplex, {10,10,tridecal}
Great googondol / Googondolsuplex, E100##10#2
Little Graham grahal, [2,3,12,2] = F²(12)
Grand Hyperhypillion, H*₂(10,2)
Primitolplex, s(3,3,2,2)
Magthree, A(A(61,61),A(61,61))
Double Centifact, 100**
Boogolplex, {10,10,{10,10,100}}
Gamminol, {12,100,{10,10,100}}
TriGraham, g₃ = 3{3{3↑↑↑↑3}3}3
Tris-hyperon, 100{X}100{X}100
Gugolda-suplex / goolda-suplex, E100##100#2 = E100##gugold
Kilohyperfaxul, (200![1])![1] ~ {10,198,hyperfaxul}
Meser, 2[256[258]+2] = M(2,M(256,256))
Charged Hayden, 999[999[999
Gugolda-suplexichime, E1,000##1,000#2
Myriodufact, 10,000**
Gugolda-suplexitoll, E10,000##10,000#2
Gugolda-suplexigong / goolda-suplexigong, E100,000##100,000#2
Gongolplex, hyper(10,gongol,100)
Joyce's pentatri, g(3,1,1,4,3,3)
Googoldusuplex, E100##1#3
Googoldusuplexigong, E100,000##1#3
Googolplexidusuplex, E100##(E100#2)#2
Googolduplexidusuplex, E100##(E100#3)#2
Grangoldusuplex, E100##2#3
Tritriplexian, {3,4,1,2}
Grangoldexidusuplex, E100##(E100#100#2)#2
Greagoldusuplex, E100##3#3
Tritetduplex, {4, 4, 1, 2}
Gigangoldusuplex, E100##4#3
Gorgegoldusuplex, E100##5#3
Bigrand Hyperhypillion, H*₂(10,3)
Joycian grand tridecal, g(3,1,1,11,10,10)
Tridecalduplex, {10, 4, 1, 2}
Googondoldusuplex, E100##10#3
TriLittleGraham, [2,3,12,3] = F₃(12)
Primitolbiplex, s(3,4,2,2)
Triple Centifact, 100***
Boogolduplex, {10,10,{10,10,{10,10,100}}}
Ter-hyperon, 100{X+1}4
Gugolda-dusuplex / goolda-dusuplex, E100##100#3
Megahyperfaxul, ((200![1])![1])![1] ~ {10,198,kilohyperfaxul}
Muser, 2[2[256[258]+2]+2] = M(2,M(2,M(256,256)))
Gugolda-dusuplexichime, E1,000##1,000#3
Myriotrefact, 10,000***
Gugolda-dusuplexitoll, E10,000##10,000#3
Gugolda-dusuplexigong / goolda-dusuplexigong, E100,000##100,000#3
Googoltrisuplex, E100##1#4
Grangoltrisuplex, E100##2#4
Mevenillion, 10^3[3,3,3]*3+3
ThaAwesome's Tetratri, 3[3,3]3
Greagoltrisuplex, E100##3#4
Golden grahal, g₄ = 3{3{3{3↑↑↑↑3}3}3}3
Primitoltriplex, s(3,5,2,2)
ThaAwesome's Tetratet, 4[4,4]4
Golden crahal, [4,4,4,4] = gc(3)
Tridecaltriplex, {10, 5, 1, 2}
Little golden grahal, [2,3,12,4] = F⁴(12)
Quadruple Centifact, 100****
Boogoltriplex, {10,10,{10,10,{10,10,{10,10,100}}}}
Gugolda-trisuplex, E100##100#4
Juice infused Moser|Juice-infused Moser, 17[592[186[44[416
Pen-hyperon, 100{X+1}5
Gigahyperfaxul, (((200![1])![1])![1])![1] ~ {10,198,megahyperfaxul}
Myrioterfact, 10,000****
Primitolquadriplex, s(3,6,2,2)
Gugolda-quadrisuplex, E100##100#5
Quintuple Centifact, $10 0_{5}^{*}$
Ex-hyperon, 100{X+1}6
Terahyperfaxul, ((((200![1])![1])![1])![1])![1] ~ {10,198,gigahyperfaxul}
Dihexar, $Q_{1, 1} (6)$
Epi-hyperon, 100{X+1}7
Gugolda-quintisuplex, E100##100#6
Petahyperfaxul, (((((200![1])![1])![1])![1])![1])![1] ~ {10,198,terahyperfaxul}
Little Graham / Graham-Rothschild Number, F⁷(12), where F(n) = 2↑ⁿ3
Gugolda-sextisuplex, E100##100#7
Exahyperfaxul, ((((((200![1])![1])![1])![1])![1])![1])![1] ~ {10,198,petahyperfaxul}
Gugolda-septisuplex, E100##100#8
Dialogue-corporal, {10, 10, 1, 2}
Uniance, 10[&1]
Gugolda-octisuplex, E100##100#9
Great grahal, [3,3,4,10] = G₁₀
Unaddom, $f_{ω + 1} (10)$
One mow my, $g_{Γ_{0}} (10)$
Great Hyperhypillion / Hypergrand Hyperhypillion, H* ₂(10,10)
Gugolda-nonisuplex, E100##100#10
Decuple Centifact, $10 0_{10}^{*}$
Gugolda-decisuplex, E100##100#11
Small fry-corporal, {10, 15, 1, 2}
Quarter Graham, [3,3,4,16] = G₁₆
Great Exi-hyperhypillion, H* ₂(16,16)
Guppy-corporal, {10, 20, 1, 2}
Quinary-corporal, {5, 25, 1, 2}
Joycian dimentri, g(27,1,1,4,3,3)
Primibol, s(3,2,3,2)
Half Graham, [3,3,4,32] = G₃₂
Mini-corporal, {10, 50, 1, 2}
Octal-corporal, {8, 64, 1, 2}
Graham's number, G = g₆₄
Vsauce's Number, $g_{64} \times 1 0^{1 0^{100}}!^{1 0^{1 0^{2 \times 1 0^{100} + 100}}}$
Bisuperiorgraham, G↑G
Quadrisuperiorgraham, G↑↑5
Graham-Conway number, {4,65,1,2}
Prawn-corporal, {10, 65, 1, 2}
Graham Jr., [2,3,12,64] = F⁶⁴(12)
Gugolda-tresexagintisuplex, E100##100#64
xkcd number, A(G,G)
Fyn, 1₀(76)
Ogocorporal, {10, 80, 1, 2}
Corporalspeck, {10, 90, 1, 2}
Corporalcrumb, {10, 95, 1, 2}
Explodol, E(100)
Corporalchunk, {10, 99, 1, 2}
Corporal / Kil-Googol, {10,100,1,2} = 10[1,1]100
Expandor / Cent-hyperon, 100{X+1}100
Goourea / goolsol, s(10,100,2,2)
Stasplex, g₁₀₀
Centuple Centifact, $10 0_{100}^{*}$
Graatagold / graatagond / graatada, E100##100#100 = E100##100##2
Astrex, #^* ((10))*100
Great Cent-hyperhypillion, H* ₂(100,100)
Wakoogol, $h_{100} (\underset{100 10's}{\underset{⏟}{10, 10, \dots, 10, 10}})$
ioannis.c|Output of ioannis.c, $\approx f_{ω + 1} (115)$
Hexadecimal-corporal, {16, 256, 1, 2}
Ungranika, <1,1> |488
Corporalchime, {10, 1000, 1, 2}
Graatagoldachime, E1,000##1,000#1,000
Niftimal-corporal, {36, 1296, 1, 2}
Pyrophord, g₄₇₀₇
Corporaltoll, {10, 10000, 1, 2}
Myriad Myriofact, $1000 0_{10000}^{*}$
Graatagoldatoll, E10,000##10,000#10,000
Joycian dulatri, g(19683,1,1,4,3,3)
Corporalgong, {10, 100000, 1, 2}
Graatagoldagong, E100,000##100,000#100,000 = E100,000##100,000##2
Forcal, g_1,000,000
Graham forcal / Forahal, g_1,000,001
Graham graham forcal / Forado, g_1,000,002
Graham graham graham forcal / Foratrio, g_1,000,003
Borcal, g_{1,000,000,000}
Joycian trimentri, g(3²⁷,1,1,4,3,3)
Mevenogol, 10¹⁰⁰[10¹⁰⁰,10¹⁰⁰,10¹⁰⁰]
Googolplux, g(g(3,2,g(2,50,100)),1,1,2,100,10)
Googolsudexigong, E100,000##1#1#2
Googolplexisudex, E100##100#(E100#2)
Googolduplexisudex, E100##100#(E100#3)
Clarkkkkson, ~ f_ω+1 (Lynz) (increases throughout time)

Part 3.2: $f_{ω + 1} (f_{3} (10))$ ~ $f_{ω + 2} (f_{3} (10))$

Yudkowsky's Number (Saibian), G(G(1))
Googolpluc, g(g(g(2,2,3),2,g(2,100,10)),1,1,2,100,10)
Grand hyperfaxul, 200(![1])^200![1]+1 ~ {10,hyperfaxul,1,2}
Lower bound of Block subsequence theorem|n(4)
Joycian decaltrix, g(g(11,10,10),1,1,11,10,10)
Googolplum, g(g(g(3,3,3),2,g(2,100,10)),1,1,2,100,10)
Goltreantrex, #^* ((10))^((10))* * ((10))* ((10))*100
Grangolsudex, E100##2#1#2
Grangoldexisudex, E100##100#(E100#100#2)
Tritridex, {3, 3, 2, 2}
Grand kilohyperfaxul, 200(![1])^{(200![1])![1]+1} ~ {10,kilohyperfaxul,1,2}
Greagolsudex, E100##3#1#2
Tritetdex, {4, 4, 2, 2}
Grand megahyperfaxul, 200(![1])^{((200![1])![1])![1]+1} ~ {10,megahyperfaxul,1,2}
Gigangolsudex, E100##4#1#2
Grand gigahyperfaxul, 200(![1])^{(((200![1])![1])![1])![1]+1} ~ {10,gigahyperfaxul,1,2}
Gorgegolsudex, E100##5#1#2
Grand terahyperfaxul, 200(![1])^{((((200![1])![1])![1])![1])![1]+1} ~ {10,terahyperfaxul,1,2}
Grand petahyperfaxul, 200(![1])^{(((((200![1])![1])![1])![1])![1])![1]+1} ~ {10,petahyperfaxul,1,2}
Grand exahyperfaxul, 200(![1])^{((((((200![1])![1])![1])![1])![1])![1])![1]+1} ~ {10,exahyperfaxul,1,2}
Conway's Tetratri / primibolplex, 3→3→3→3 ~ g_g₂₇
Gugolda-sudex, E100##100#1#2
Googolsuplexisudex, E100##1#2#2
Grangolsuplexisudex, E100##2#2#2
Kudi-Chan's Number, ~ g_g₆₄+64
Gugolda-suplexisudex, E100##100#2#2
Gugolda-dusuplexisudex, E100##100#3#2
Gugolda-trisuplexisudex, E100##100#4#2
Corporalplex, {10,{10,100,1,2},1,2}
Tris-expandor, 100{X+1}100{X+1}100
Graatagolda-sudex / graatada-sudex, E100##100#100#2
Graatagolda-sudexichime, E1,000##1,000#1,000#2
Graatagolda-sudexitoll, E10,000##10,000#10,000#2
Graatagolda-sudexigong, E100,000##100,000#100,000#2
Force forcal, Forcal(2)
Wakoogolplex, $h_{100} (\underset{wakoogol 10's}{\underset{⏟}{10, 10, \dots, 10, 10}})$
Clarkkkksonplex, ~ f_ω+1(f_ω+1(Lynz)) (increases throughout time)
Googoldusudex, E100##1#1#3
Grangoldusudex, E100##2#1#3
Gugolda-dusudex, E100##100#1#3
Bigrand hyperfaxul, 200(![1])^{200(![1])^200![1]+1+1} ~ {10,grand hyperfaxul,1,2}
Gugolda-suplexidusudex, E100##100#2#3
Bigrand kilohyperfaxul, 200(![1])^{200(![1])^{(200![1])![1]+1}+1} ~ {10,grand kilohyperfaxul,1,2}
Gugolda-dusuplexidusudex, E100##100#3#3
Bigrand megahyperfaxul, 200(![1])^{200(![1])^{((200![1])![1])![1]+1}+1} ~ {10,grand megahyperfaxul,1,2}
Graatagolda-dusudex / graatada-dusudex, E100##100#100#3
Graatagolda-dusudexichime, E1,000##1,000#1,000#3
Graatagolda-dusudexitoll, E10,000##10,000#10,000#3
Graatagolda-dusudexigong, E100,000##100,000#100,000#3
Force force forcal, Forcal(3)
Googoltrisudex, E100##1#1#4
Terto-Grahal, G(G(G(G(1))))
Gugolda-trisudex, E100##100#1#4
Trigrand hyperfaxul, 200(![1])^{200(![1])^{200(![1])^200![1]+1+1}+1} ~ {10,bigrand hyperfaxul,1,2}
Graatagolda-trisudex, E100##100#100#4
Trigrand kilohyperfaxul, 200(![1])^{200(![1])^{200(![1])^{(200![1])![1]+1}+1}+1} ~ {10,bigrand kilohyperfaxul,1,2}
Trigrand megahyperfaxul, 200(![1])^{200(![1])^{200(![1])^{((200![1])![1])![1]+1}+1}+1} ~ {10,bigrand megahyperfaxul,1,2}
Force force force forcal, Forcal(4)
Quadgrand hyperfaxul, 200(![1])^{200(![1])^{200(![1])^{200(![1])^200![1]+1+1}+1}+1} ~ {10,6,2,2}
Graatagolda-quadrisudex, E100##100#100#5
Quintgrand hyperfaxul, 200(![1])^{200(![1])^{200(![1])^{200(![1])^{200(![1])^200![1]+1+1}+1}+1}+1} ~ {10,7,2,2}
Trihexar, $Q_{1, 2} (6)$
Graatagolda-quintisudex, E100##100#100#6
Graatagolda-sextisudex, E100##100#100#7
Graatagolda-septisudex, E100##100#100#8
Biance, 10[&2]
Multiexpandecal, {10,10,2,2} = {10,2,3,2}
Baddom, $f_{ω + 2} (10)$
Graatagolda-octisudex, E100##100#100#9
Graatagolda-nonisudex, E100##100#100#10
Graatagolda-decisudex, E100##100#100#11
Primitrol, s(3,2,4,2)
Unfyn, 1₁(76)
Mulporal / Kil-Doogol, {10,100,2,2} = 10[2,1]100
Hypercentifact, $10 0_{(100, 100)}^{*}$
Greegold / greegond / greegada, E100##100#100#100 = E100##100##3
Degranika, <2,1> |488
Greegoldachime, E1,000##1,000#1,000#1,000
Greegoldatoll, E10,000##10,000#10,000#10,000
Greegoldagong, E100,000##100,000#100,000#100,000 = E100,000##100,000##3
Suporcal, Forcal(1,000,000) = Forcal₂(1)
Force suporcal, Forcal(1,000,001)
Force force suporcal, Forcal(1,000,002)
Force force force suporcal, Forcal(1,000,003)
Googolsuthrex, E100##1#1#1#2

Part 3.3: $f_{ω + 2} (f_{3} (10))$ ~ $f_{ω + 5} (f_{3} (10))$

Hypergraham, G^{Graham's number|G}(64)
Grangolsuthrex, E100##2#1#1#2
Greagolsuthrex, E100##3#1#1#2
Gigangolsuthrex, E100##4#1#1#2
Gorgegolsuthrex, E100##5#1#1#2
Googondolsuthrex, E100##10#1#1#2
Gugolda-suthrex, E100##100#1#1#2
Googolsuplexisuthrex, E100##1#2#1#2
Gugolda-suplexisuthrex, E100##100#2#1#2
Gugolda-dusuplexisuthrex, E100##100#3#1#2
Graatagolda-suthrex, E100##100#100#1#2
Googolsudexisuthrex, E100##1#1#2#2
Gugolda-sudexisuthrex, E100##100#1#2#2
Grand tritri, {3,3,3,2} = 3[3,1]3
Primitrolplex, s(3,3,4,2)
Graatagolda-sudexisuthrex, E100##100#100#2#2
Graatagolda-dusudexisuthrex, E100##100#100#3#2
Greegolda-suthrex / greegada-suthrex, E100##100#100#100#2
Greegolda-suthrexichime, E1,000##1,000#1,000#1,000#2
Greegolda-suthrexitoll, E10,000##10,000#10,000#10,000#2
Greegolda-suthrexigong, E100,000##100,000#100,000#100,000#2
Superior suporcal, Forcal₂(2)
Descendpent, {5, 4, 3, 2}
Conway's Tetratet, 4→4→4→4 = CG(4)
Greegolda-dusuthrex, E100##100#100#100#3
Greegolda-dusuthrexichime, E1,000##1,000#1,000#1,000#3
Greegolda-dusuthrexitoll, E10,000##10,000#10,000#10,000#3
Greegolda-dusuthrexigong, E100,000##100,000#100,000#100,000#3
Superior superior suporcal, Forcal₂(3)
Superior superior superior suporcal, Forcal₂(4)
Quadhexar, $Q_{1, 3} (6)$
Triance, 10[&3]
Traddom, $f_{ω + 3} (10)$
Primitetol, s(3,2,5,2)
Deufyn, 1₂(76)
Powporal / Kil-Toogol, {10,100,3,2} = 10[3,1]100
Grinningold / grinningond / grinninda, E100##100#100#100#100 = E100##100##4
Hectpeta-melpentis, 100[100#5]
Treastrex, #^* * * ((10))*100
Tregranika, <3,1>|488
Grinningoldachime, E1,000##1,000#1,000#1,000#1,000
Grinningoldatoll, E10,000##10,000#10,000#10,000#10,000
Grinningoldagong, E100,000##100,000#100,000#100,000#100,000 = E100,000##100,000##4
Megocal, Forcal₂(1,000,000) = Forcal₃(1)
Force megocal, Forcal(1+Forcal₂(999,999))
Superior megocal, Forcal₂(1,000,001)
Superior superior megocal, Forcal₂(1,000,002)
Primitetolplex, s(3,3,5,2)
Grinningolda-sutetrex / grinninda-sutetrex, E100##100#100#100#100#2
Grinningolda-sutetrexichime, E1,000##1,000#1,000#1,000#1,000#2
Grinningolda-sutetrexitoll, E10,000##10,000#10,000#10,000#10,000#2
Grinningolda-sutetrexigong, E100,000##100,000#100,000#100,000#100,000#2
Megaior megocal, Forcal₃(2)
Grinningolda-dusutetrex / grinninda-dusutetrex, E100##100#100#100#100#3
Grinningolda-dusutetrexichime, E1,000##1,000#1,000#1,000#1,000#3
Grinningolda-dusutetrexitoll, E10,000##10,000#10,000#10,000#10,000#3
Grinningolda-dusutetrexigong, E100,000##100,000#100,000#100,000#100,000#3
Grand tritet, {4,4,4,2}
Megaior megaior megocal, Forcal₃(3)
Megaior megaior megaior megocal, Forcal₃(4)
Quinhexar, $Q_{1, 4} (6)$
Genesis / Tetriance, 10[&4]
Quadraddom, $f_{ω + 4} (10)$
Primipenol, s(3,2,6,2)
Troifyn, 1₃(76)
Terporal / Kil-Tetoogol, {10,100,4,2} = 10[4,1]100
Hecthexa-melhexis, 100[100#6]
Golaagold / golaagond / golaada, E100##100##5
Golaagoldachime, E1,000##1,000##5
Golaagoldatoll, E10,000##10,000##5
Golaagoldagong, E100,000##100,000##5
Hypercal, Forcal₄(1)
Force hypercal, Forcal(1+Forcal₂(Forcal₃(999,999)-1))
Superior hypercal, Forcal₂(1+Forcal₃(999,999))
Megaior hypercal, Forcal₃(1,000,001)
Primipenolplex, s(3,3,6,2)
Golaagolda-supentex / golaada-supentex, E100##100#100#100#100#100#2
Golaagolda-supentexichime, E1,000##1,000#1,000#1,000#1,000#1,000#2
Golaagolda-supentexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#2
Golaagolda-supentexigong, E100,000##100,000#100,000#100,000#100,000#100,000#2
Hyperior hypercal, Forcal₄(2)
Golaagolda-dusupentex / golaada-dusupentex, E100##100#100#100#100#100#3
Golaagolda-dusupentexichime, E1,000##1,000#1,000#1,000#1,000#1,000#3
Golaagolda-dusupentexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#3
Golaagolda-dusupentexigong, E100,000##100,000#100,000#100,000#100,000#100,000#3
Hyperior hyperior hypercal, Forcal₄(3)
Grand tripent, {5,5,5,2}
Hyperior hyperior hyperior hypercal, Forcal₄(4)
Sexahexar, $Q_{1, 5} (6)$
Pentiance, 10[&5]
Quintaddom, $f_{ω + 5} (10)$
Pepporal, {10,100,5,2}
Hecthepta-melheptis, 100[100#7]
Gruelohgold / gruelohgond / gruelohda, E100##100##6
Gruelohgoldachime, E1,000##1,000##6
Gruelohgoldatoll, E10,000##10,000##6
Gruelohgoldagong, E100,000##100,000##6
Gorgcal, Forcal₅(1)
Force gorgcal, Forcal(1+Forcal₂(Forcal₃(Forcal₄(999,999)-1)-1))
Superior gorgcal, Forcal₂(1+Forcal₃(Forcal₄(999,999)-1))
Megaior gorgcal, Forcal₃(1+Forcal₄(999,999))
Hyperior gorgcal, Forcal₄(1,000,001)

Part 3.4: $f_{ω + 5} (f_{3} (10))$ ~ $f_{ω + 11} (10)$

Gruelohgolda-suhex, E100##100#100#100#100#100#100#2
Gruelohgolda-suhexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#2
Gruelohgolda-suhexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#2
Gruelohgolda-suhexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#2
Gorgcaior gorgcal, Forcal₅(2)
Gruelohgolda-dusuhex, E100##100#100#100#100#100#100#3
Gruelohgolda-dusuhexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#3
Gruelohgolda-dusuhexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#3
Gruelohgolda-dusuhexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#3
Gorgcaior gorgcaior gorgcal, Forcal₅(3)
Gorgcaior gorgcaior gorgcaior gorgcal, Forcal₅(4)
Septahexar, $Q_{2, 0} (6)$
Sextaddom, $f_{ω + 6} (10)$
Hectocta-meloctis, 100[100#8]
Gaspgold / gaspgond, E100##100##7
Havering, 112![7]
Gaspgoldachime, E1,000##1,000##7
Gaspgoldatoll, E10,000##10,000##7
Gaspgoldagong, E100,000##100,000##7
Gulfcal, Forcal₆(1)
Gaspgolda-suheptex, E100##100#100#100#100#100#100#100#2
Gaspgolda-suheptexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
Gaspgolda-suheptexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
Gaspgolda-suheptexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
Gulfcaior gulfcal, Forcal₆(2)
Gaspgolda-dusuheptex, E100##100#100#100#100#100#100#100#3
Gaspgolda-dusuheptexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
Gaspgolda-dusuheptexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
Gaspgolda-dusuheptexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
Gulfcaior gulfcaior gulfcal, Forcal₆(3)
Gulfcaior gulfcaior gulfcaior gulfcal, Forcal₆(4)
Septaddom, $f_{ω + 7} (10)$
Heptporal, {10,100,7,2}
Hectenna-melenna. 100[100#9]
Ginorgold / ginorgond, E100##100##8
Ginorgoldachime, E1,000##1,000##8
Ginorgoldatoll, E10,000##10,000##8
Ginorgoldagong, E100,000##100,000##8
Gaspocal, Forcal₇(1)
Ginorgolda-suoctex, E100##100#100#100#100#100#100#100#100#2
Ginorgolda-suoctexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
Ginorgolda-suoctexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
Ginorgolda-suoctexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
Gaspocaior gaspocal, Forcal₇(2)
Ginorgolda-dusuoctex, E100##100#100#100#100#100#100#100#100#3
Ginorgolda-dusuoctexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
Ginorgolda-dusuoctexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
Ginorgolda-dusuoctexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
Gaspocaior gaspocaior gaspocal, Forcal₇(3)
Gaspocaior gaspocaior gaspocaior gaspocal, Forcal₇(4)
Octaddom, $f_{ω + 8} (10)$
Octporal, {10,100,8,2}
Decazhel, 10[10#10]
Hectdeka-meldeka, 100[100#10]
Gargantuuld / gargantuund, E100##100##9
Gargantuuldachime, E1,000##1,000##9
Gargantuuldatoll, E10,000##10,000##9
Gargantuuldagong, E100,000##100,000##9
Ginorcal, Forcal₈(1)
Gargantuulda-suennex, E100##100#100#100#100#100#100#100#100#100#2
Gargantuulda-suennexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
Gargantuulda-suennexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
Gargantuulda-suennexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
Ginorcaior ginorcal, Forcal₈(2)
Gargantuulda-dusuennex, E100##100#100#100#100#100#100#100#100#100#3
Gargantuulda-dusuennexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
Gargantuulda-dusuennexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
Gargantuulda-dusuennexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
Ginorcaior ginorcaior ginorcal, Forcal₈(3)
Ginorcaior ginorcaior ginorcaior ginorcal, Forcal₈(4)
Nonaddom, $f_{ω + 9} (10)$
Ennporal, {10,100,9,2}
Googondold / googondond, E100##100##10
Googondoldachime, E1,000##1,000##10
Googondoldatoll, E10,000##10,000##10
Googondoldagong, E100,000##100,000##10
Googondolda-sudecex, E100##100#100#100#100#100#100#100#100#100#100#2
Googondolda-sudecexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
Googondolda-sudecexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
Googondolda-sudecexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
Googondolda-dusudecex, E100##100#100#100#100#100#100#100#100#100#100#3
Googondolda-dusudecexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
Googondolda-dusudecexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
Googondolda-dusudecexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
Grand tridecal, {10,10,10,2}
Iterais, 10[&10] = 10[&&]
Dekaddom / bultom, $f_{ω + 10} (10)$
Decporal, {10,100,10,2}
Googoadold, E100##100##11
Solution, {{{{{42, 42, 1, 2}, 2, 2}, 3, 2}, 5, 2}, 10, 2}

Part 3.5: $f_{ω + 11} (10)$ ~ $f_{ω 2} (f_{3} (10))$

Ununaddom, $f_{ω + 11} (10)$
Goograndold, E100##100##12
Bunaddom, $f_{ω + 12} (10)$
Grand dozenal, {12,12,12,2}
Googreadold, E100##100##13
Trunaddom, $f_{ω + 13} (10)$
Googigandold, E100##100##14
Quadrunaddom, $f_{ω + 14} (10)$
Googorgedold, E100##100##15
Quintunaddom, $f_{ω + 15} (10)$
Googuldold, E100##100##16
Sextunaddom, $f_{ω + 16} (10)$
Googaspdold, E100##100##17
Septunaddom, $f_{ω + 17} (10)$
Googinordold, E100##100##18
Octunaddom, $f_{ω + 18} (10)$
Googargantuuld, E100##100##19
Nonunaddom, $f_{ω + 19} (10)$
Googonkosold, E100##100##20
Vigaddom / zeribaddom, $f_{ω + 20} (10)$
Unibaddom, $f_{ω + 21} (10)$
Bibaddom, $f_{ω + 22} (10)$
Tribaddom, $f_{ω + 23} (10)$
Quadribaddom, $f_{ω + 24} (10)$
Quintibaddom, $f_{ω + 25} (10)$
Sextibaddom, $f_{ω + 26} (10)$
Septibaddom, $f_{ω + 27} (10)$
Octibaddom, $f_{ω + 28} (10)$
Nonibaddom, $f_{ω + 29} (10)$
Googontritold, E100##100##30
Googonsartold, E100##100##40
Chan.c numbers|chan-2.c, $\approx f_{ω + 48} (2)$
Googonpetold, E100##100##50
Googonextold, E100##100##60
Googoneptold, E100##100##70
Bi-Fyn, 2₀(76)
Googonogdold, E100##100##80
Biggolspeck, {10,10,90,2}
Googonentold, E100##100##90
Biggolcrumb, {10,10,95,2}
Biggolchunk, {10,10,99,2}
Ternary-biggol, {3,3,100,2}
Quarternary-biggol, {4,4,100,2}
Quinary-biggol, {5,5,100,2}
Octal-biggol / biggolbyte, {8,8,100,2}
Gugolthra / gugonthra / googonhectold / goolthra, E100##100##100
Biggol / Dukiloogol, {10,10,100,2} = 10[0,2]100
Hektaddom, $f_{ω + 100} (10)$
Dozenal-biggol / duodecimal-biggol, {12,12,100,2}
Hexadecimal-biggol, {16,16,100,2}
Grand trihectal, {100,100,100,2}
Giaxul, 200![200] = 200![1,2] ~ {10,10,199,2}
Kilogiaxul, (200![200])![200] ~ {10,3,200,2}
Megagiaxul, ((200![200])![200])![200] ~ {10,4,200,2}
Gigagiaxul, (((200![200])![200])![200])![200] ~ {10,5,200,2}
Teragiaxul, ((((200![200])![200])![200])![200])![200] ~ {10,6,200,2}
Petagiaxul, (((((200![200])![200])![200])![200])![200])![200] ~ {10,7,200,2}
Exagiaxul, ((((((200![200])![200])![200])![200])![200])![200])![200] ~ {10,8,200,2}
Ultron, $\approx f_{ω + 200} (100)$
Grand Giaxul, 200(![200])^200![200]+1 ~ {10,giaxul,200,2}
Grand Kilogiaxul, 200(![200])^{(200![200])![200]+1} ~ {10,kilogiaxul,200,2}
Grand Megagiaxul, 200(![200])^{((200![200])![200])![200]+1}
Grand Gigagiaxul, 200(![200])^{(((200![200])![200])![200])![200]+1}
Grand Teragiaxul, 200(![200])^{((((200![200])![200])![200])![200])![200]+1}
Grand Petagiaxul, 200(![200])^{(((((200![200])![200])![200])![200])![200])![200]+1}
Grand Exagiaxul, 200(![200])^{((((((200![200])![200])![200])![200])![200])![200])![200]+1}
Bigrand Giaxul, 200(![200])^{200(![200])^200![200]+1+1} ~ {10,Grand Giaxul,200,2}
Bigrand Kilogiaxul, 200(![200])^{200(![200])^{(200![200])![200]+1}+1}
Bigrand Megagiaxul, 200(![200])^{200(![200])^{((200![200])![200])![200]+1}+1}
Trigrand Giaxul, 200(![200])^{200(![200])^{200(![200])^200![200]+1+1}+1} ~ {10,4,201,2}
Trigrand Kilogiaxul, 200(![200])^{200(![200])^{200(![200])^{(200![200])![200]+1}+1}+1}
Trigrand Megagiaxul, 200(![200])^{200(![200])^{200(![200])^{((200![200])![200])![200]+1}+1}+1}
Quadgrand Giaxul, 200(![200])^{200(![200])^{200(![200])^{200(![200])^200![200]+1+1}+1}+1} ~ {10,5,201,2}
Quintgrand Giaxul, 200(![200])^{200(![200])^{200(![200])^{200(![200])^{200(![200])^200![200]+1+1}+1}+1}+1} ~ {10,6,201,2}
Bigranika, <0,2> |488
Bwiggol / biggolchime, {10,10,1000,2}
Kiladdom, $f_{ω + 1000} (10)$
Biggoltoll, {10,10,10000,2}
Skibidi toilet grimace ohio, $f_{ω 2} (69420)$
Biggolgong, {10,10,100000,2}
Megaddom, $f_{ω + 1000000} (10)$
Terribocal, Forcal_1000000(1) = Forcal_1,2(1)
Biggolbong, {10,10,100000000,2}
Gigaddom, $f_{ω + 1 0^{9}} (10)$
Biggolthrong, {10,10,{10,11},2}
Teraddom, $f_{ω + 1 0^{12}} (10)$
Petaddom, $f_{ω + 1 0^{15}} (10)$
Exaddom, $f_{ω + 1 0^{18}} (10)$
Zettaddom, $f_{ω + 1 0^{21}} (10)$
Yottaddom, $f_{ω + 1 0^{24}} (10)$
Googolplexitris, E100##100##(E100)
Googolplexplexitris, E100##100##(E100#2)

Part 3.6: $f_{ω 2} (f_{3} (10))$ ~ $f_{ω 3} (f_{3} (10))$

Duprimitol, s(3,2,2,3)
Grangolplexitris, E100##100##(E100#100)
Greagolplexitris, E100##100##(E100#100#100)
Gigangolplexitris, E100##100##(E100#100#100#100)
Great gugold / Gugolda-plexitris, E100##100##1#2
Great graatagold, E100##100##2#2
Great greegold, E100##100##3#2
Grand tritriplex, {3,3,1,3}
Great grinningold, E100##100##4#2
Great golaagold, E100##100##5#2
Great gruelohgold, E100##100##6#2
Great gaspgold, E100##100##7#2
Great ginorgold, E100##100##8#2
Great gargantuuld, E100##100##9#2
Great googondold, E100##100##10#2
Gugolthra-plexitris, E100##100##100#2
Biggolplex, {10,10,{10,10,100,2},2}
Ultronplex, $\approx f_{ω 2} (f_{ω + 200} (100))$
Terribocaior Terribocal, Forcal_Terribocal(1) = Forcal_1,2(2)
Duprimitolplex, s(3,3,2,3)
Gugolthra-duplexitris, E100##100##100#3
Biggolduplex, {10,10,{10,10,{10,10,100,2},2},2}
Gugolthra-triplexitris, E100##100##100#4
Unadd-bultom, $f_{ω 2 + 1} (10)$
Bi-Unfyn, 2₁(76)
Dukil-Googol / corplodal, 10[1,2]100 = {10,100,1,3}
Graatagolthra / graatathra, E100##100##100##2
Terribuporcal, Forcal_2,2(1)
Wonkapoogol, $h_{x} (h, \underset{100 10's}{\underset{⏟}{10, 10, \dots, 10, 10}}) (100)$
Duprimibol, s(3,2,3,3)
Graatagolthra-dexitris, E100##100##100#100#2
Terribuperior Terribuporcal, Forcal_2,2(2)
Wonkapoogolplex, $h_{x} (h, \underset{wonkapoogol 10's}{\underset{⏟}{10, 10, \dots, 10, 10}}) (100)$
Tetentri / duprimibolplex, s(3,3,3,3)
Graatagolthra-dudexitris, E100##100##100#100#3
Graatagolthra-tridexitris, E100##100##100#100#4
Badd-bultom, $f_{ω 2 + 2} (10)$
Bi-Deufyn, 2₂(76)
Dukil-Doogol / mulplodal, 10[2,2]100 = {10,100,2,3}
Greegolthra / greegathra, E100##100##100##3
Terribegocal, Forcal_3,2(1)
Tetratri, {3,3,3,3}
Greegolthra-threxitris, E100##100##100#100#100#2
Greegolthra-duthrexitris, E100##100##100#100#100#3
Greegolthra-trithrexitris, E100##100##100#100#100#4
Tradd-bultom, $f_{ω 2 + 3} (10)$
Bi-Troifyn, 2₃(76)
Powplodal, {10,100,3,3}
Grinningolthra / grinninthra, E100##100##100##4
Terribypercal, Forcal_4,2(1)
Grinningolthra-tetrexitris, E100##100##100#100#100#100#2
Grinningolthra-dutetrexitris, E100##100##100#100#100#100#3
Grinningolthra-tritetrexitris, E100##100##100#100#100#100#4
Terplodal, {10,100,4,3}
Kirby-Paris hydra|Hydra(4) (lower bound), $> f_{ω 2 + 4} (5)$
Hecta-pepto-hypermel, 100[100#####100]
Golaagolthra / golaathra, E100##100##100##5
Chan.c numbers|chan-3.c, $\approx f_{ω 2 + 4} (9998)$
Terriborgecal, Forcal_5,2(1)
Golaagolthra-pentexitris, E100##100##100#100#100#100#100#2
Golaagolthra-dupentexitris, E100##100##100#100#100#100#100#3
Golaagolthra-tripentexitris, E100##100##100#100#100#100#100#4
Pentplodal, {10,100,5,3}
Gruelohgolthra / gruelohthra, E100##100##100##6
Terribulfcal, Forcal_6,2(1)
Gruelohgolthra-hexitris, E100##100##100#100#100#100#100#100#2
Gruelohgolthra-duhexitris, E100##100##100#100#100#100#100#100#3
Gruelohgolthra-trihexitris, E100##100##100#100#100#100#100#100#4
Septasexahexar, $Q_{3, 0} (6)$
Gaspgolthra, E100##100##100##7
Terribaspcal, Forcal_7,2(1)
Gaspgolthra-heptexitris, E100##100##100#100#100#100#100#100#100#2
Gaspgolthra-duheptexitris, E100##100##100#100#100#100#100#100#100#3
Gaspgolthra-triheptexitris, E100##100##100#100#100#100#100#100#100#4
Ginorgolthra, E100##100##100##8
Terribinorcal, Forcal_8,2(1)
Ginorgolthra-octexitris, E100##100##100#100#100#100#100#100#100#100#2
Ginorgolthra-duoctexitris, E100##100##100#100#100#100#100#100#100#100#3
Ginorgolthra-trioctexitris, E100##100##100#100#100#100#100#100#100#100#4
Gargantuulthra, E100##100##100##9
Gargantuulthra-ennexitris, E100##100##100#100#100#100#100#100#100#100#100#2
Gargantuulthra-duennexitris, E100##100##100#100#100#100#100#100#100#100#100#3
Gargantuulthra-triennexitris, E100##100##100#100#100#100#100#100#100#100#100#4
Hecta-dekato-hypermel, 100[100##########100]
Googondolthra, E100##100##100##10
Googondolthra-decexitris, E100##100##100#100#100#100#100#100#100#100#100#100#2
Googondolthra-dudecexitris, E100##100##100#100#100#100#100#100#100#100#100#100#3
Googondolthra-tridecexitris, E100##100##100#100#100#100#100#100#100#100#100#100#4
Great tridecal, {10,10,10,3}
Iteraduis, 10[&&10] = 10[&&&]
Trultom / dekadd-bultom, $f_{ω 3} (10)$
Googonkosolthra, E100##100##100##20
Googontritolthra, E100##100##100##30
Googonsartolthra, E100##100##100##40
Googonpetolthra, E100##100##100##50
Googonextolthra, E100##100##100##60
Googoneptolthra, E100##100##100##70
Tri-Fyn, 3₀(76)
Googonogdolthra, E100##100##100##80
Googonentolthra, E100##100##100##90
Gugoltesla / gugontesla / googonhectolthra / gooltesla, E100##100##100##100
Baggol / Trukiloogol, {10,10,100,3} = 10[0,3]100
Tri-astragold, #^^^((10))*100
Juice infused Chain Arrows, $17 \to 592 \to 186 \to 44 \to 416$
Trigranika, <0,3> |488
Bwaggol, {10,10,1000,3}
Baggoltoll, {10,10,10000,3}
Baggolgong, {10,10,100000,3}
Tribocal, Forcal_1000000,2(1) = Forcal_1,3(1)

Part 3.7: $f_{ω 3} (f_{3} (10))$ ~ $f_{ω 5} (f_{3} (10))$

Truprimitol, s(3,2,2,4)
Gugoltesla-plexitetris, E100##100##100##100#2
Baggolplex, {10,10,{10,10,100,3},3}
Tribocaior Tribocal, Forcal_1,3(2)
Truprimitolplex, s(3,3,2,4)
Tri-Unfyn, 3₁(76)
Cordetal, {10,100,1,4}
Graatagoltesla / graatatesla, E100##100##100##100##2
Tribuporcal, Forcal_2,3(1)
Truprimibol, s(3,2,3,4)
Graatagoltesla-dexitetris, E100##100##100##100#100#2
Truprimibolplex, s(3,3,3,4)
Tri-Deufyn, 3₂(76)
Muldetal, {10,100,2,4}
Greegoltesla / greegatesla, E100##100##100##100##3
Tribegocal, Forcal_3,3(1)
Powdetal, {10,100,3,4}
Greegoltesla-threxitetris, E100##100##100##100#100#100#2
Hayden's Tetratri, 3(3)(3)3
Tetentet, s(4,4,4,4)
Tri-Troifyn, 3₃(76)
Grinningoltesla / grinnintesla, E100##100##100##100##4
Tribypercal, Forcal_4,3(1)
Grinningoltesla-tetrexitetris, E100##100##100##100#100#100#100#2
Supertet, {4,4,4,4}
Tetdetal, {10,100,4,4}
Golaagoltesla / golaatesla, E100##100##100##100##5
Golaagoltesla-pentexitetris, E100##100##100##100#100#100#100#100#2
Gruelohgoltesla / gruelohtesla, E100##100##100##100##6
Gruelohgoltesla-hexitetris, E100##100##100##100#100#100#100#100#100#2
Septasexa-sexahexar, $Q_{4, 0} (6)$
Gaspgoltesla, E100##100##100##100##7
Gaspgoltesla-heptexitetris, E100##100##100##100#100#100#100#100#100#100#2
Ginorgoltesla, E100##100##100##100##8
Ginorgoltesla-octexitetris, E100##100##100##100#100#100#100#100#100#100#100#2
Gargantuultesla, E100##100##100##100##9
Gargantuultesla-ennexitetris, E100##100##100##100#100#100#100#100#100#100#100#100#2
Googondoltesla, E100##100##100##100##10
Gigantic tridecal, {10,10,10,4}
Iteratris, 10[&&&10] = 10[&&&&]
Quadrultom, $f_{ω 4} (10)$
Googonkosoltesla, E100##100##100##100##20
Googontritoltesla, E100##100##100##100##30
Googonsartoltesla, E100##100##100##100##40
Googonpetoltesla, E100##100##100##100##50
Googonextoltesla, E100##100##100##100##60
Googoneptoltesla, E100##100##100##100##70
Googonogdoltesla, E100##100##100##100##80
Googonentoltesla, E100##100##100##100##90
Gugolpeta / gugonpeta / googonhectoltesla / goolpeta, E100##100##100##100##100
Beegol / Tetrukiloogol, {10,10,100,4} = 10[0,4]100
Bweegol, {10,10,1000,4}
Beegolgong, {10,10,100000,4}
Tetribocal, Forcal_1,4(1)
Quadprimitol, s(3,2,2,5)
Gugolpeta-plexipentris, E100##100##100##100##100#2
Beegolplex, {10,10,{10,10,100,4},4}
Quadprimitolplex, s(3,3,2,5)
Septahexar-unnar, $Q_{4, 1} (6)$
Corpental, {10,100,1,5}
Graatagolpeta / graatapeta, E100##100##100##100##100##2
Tetribuporcal, Forcal_2,4(1)
Quadprimibol, s(3,2,3,5)
Graatagolpeta-dexipentris, E100##100##100##100##100#100#2
Quadprimibolplex, s(3,3,3,5)
Septahexar-duar, $Q_{4, 2} (6)$
Greegolpeta / greegapeta, E100##100##100##100##100##3
Greegolpeta-threxipentris, E100##100##100##100##100#100#100#2
Septahexar-trear, $Q_{4, 3} (6)$
Grinningolpeta / grinninpeta, E100##100##100##100##100##4
Grinningolpeta-tetrexipentris, E100##100##100##100##100#100#100#100#2
Hayden's Tetratet, 4(4)(4)4
Tetenpent, s(5,5,5,5)
Septahexar-quadrar, $Q_{4, 4} (6)$
Golaagolpeta / golaapeta, E100##100##100##100##100##5
Golaagolpeta-pentexipentris, E100##100##100##100##100#100#100#100#100#2
Tetrapent, {5,5,5,5}
Septahexar-quintar, $Q_{4, 5} (6)$
Gruelohgolpeta / gruelohpeta, E100##100##100##100##100##6
Gruelohgolpeta-hexipentris, E100##100##100##100##100#100#100#100#100#100#2
Septahexar-sexar, $Q_{5, 0} (6)$
Gaspgolpeta, E100##100##100##100##100##7
Gaspgolpeta-heptexipentris, E100##100##100##100##100#100#100#100#100#100#100#2
Ginorgolpeta, E100##100##100##100##100##8
Ginorgolpeta-octexipentris, E100##100##100##100##100#100#100#100#100#100#100#100#2
Gargantuulpeta, E100##100##100##100##100##9
Gargantuulpeta-ennexipentris, E100##100##100##100##100#100#100#100#100#100#100#100#100#2
Googondolpeta, E100##100##100##100##100##10
Googondolpeta-decexipentris, E100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
Gorged tridecal, {10,10,10,5}
Quintultom, $f_{ω 5} (10)$
Googonkosolpeta, E100##100##100##100##100##20
Googontritolpeta, E100##100##100##100##100##30
Googonsartolpeta, E100##100##100##100##100##40
Googonpetolpeta, E100##100##100##100##100##50
Googonextolpeta, E100##100##100##100##100##60
Googoneptolpeta, E100##100##100##100##100##70
Googonogdolpeta, E100##100##100##100##100##80
Googonentolpeta, E100##100##100##100##100##90
Gugolhexa / gugonhexa / googonhectolpeta / goolhexa, E100##100##100##100##100##100
Bigol / Pentukiloogol, {10,10,100,5} = 10[0,5]100
Bwigol, {10,10,1000,5}
Bigolgong, {10,10,100000,5}
Pentibocal, Forcal_1,5(1)

Part 3.8: $f_{ω 5} (f_{3} (10))$ ~ $f_{ω 7} (f_{3} (10))$

Quinprimitol, s(3,2,2,6)
Corhexal, {10,100,1,6}
Gugolhexa-plexihexis, E100##100##100##100##100##100#2
Quinprimitolplex, s(3,3,2,6)
Septahexar-septar, $Q_{5, 1} (6)$
Graatagolhexa / graatahexa, E100##100##100##100##100##100#100
Quinprimibol, s(3,2,3,6)
Graatagolhexa-dexihexis, E100##100##100##100##100##100#100#2
Quinprimibolplex, s(3,3,3,6)
Septahexar-octar, $Q_{5, 2} (6)$
Greegolhexa / greegahexa, E100##100##100##100##100##100##3
Greegolhexa-threxihexis, E100##100##100##100##100##100#100#100#2
Septahexar-nonar, $Q_{5, 3} (6)$
Grinningolhexa / grinninhexa, E100##100##100##100##100##100##4
Grinningolhexa-tetrexihexis, E100##100##100##100##100##100#100#100#100#2
Septahexar-decar, $Q_{5, 4} (6)$
Golaagolhexa / golaahexa, E100##100##100##100##100##100##5
Golaagolhexa-pentexihexis, E100##100##100##100##100##100#100#100#100#100#2
Ascendhex, {3, 4, 5, 6}
Tetenhex, s(6,6,6,6)
Septahexar-undecar, $Q_{5, 5} (6)$
Gruelohgolhexa / gruelohhexa, E100##100##100##100##100##100##6
Gruelohgolhexa-hexihexis, E100##100##100##100##100##100#100#100#100#100#100#2
Tetrahex, {6,6,6,6}
Septahexar-hexar, $Q_{1, 0, 0} (6)$
Gaspgolhexa, E100##100##100##100##100##100##7
Gaspgolhexa-heptexihexis, E100##100##100##100##100##100#100#100#100#100#100#100#2
Ginorgolhexa, E100##100##100##100##100##100##8
Ginorgolhexa-octexihexis, E100##100##100##100##100##100#100#100#100#100#100#100#100#2
Gargantuulhexa, E100##100##100##100##100##100##9
Gargantuulhexa-ennexihexis, E100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
Googondolhexa, E100##100##100##100##100##100##10
Googondolhexa-decexihexis, E100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
Gulp tridecal, {10,10,10,6}
Iterapentis, 10[&&&&&10] = 10[&&&&&&]
Sextultom, $f_{ω 6} (10)$
Googonkosolhexa, E100##100##100##100##100##100##20
Googontritolhexa, E100##100##100##100##100##100##30
Googonsartolhexa, E100##100##100##100##100##100##40
Googonpetolhexa, E100##100##100##100##100##100##50
Googonextolhexa, E100##100##100##100##100##100##60
Googoneptolhexa, E100##100##100##100##100##100##70
Googonogdolhexa, E100##100##100##100##100##100##80
Googonentolhexa, E100##100##100##100##100##100##90
Gugolhepta / gugonhepta / googonhectolhexa, E100##100##100##100##100##100##100
Boggol / Hexukiloogol, {10,10,100,6} = 10[0,6]100
Bwoggol, {10,10,1000,6}
Hexibocal, Forcal_1,6(1)
Gugolhepta-plexiheptis, E100##100##100##100##100##100##100#2
Boggolplex, {10,10,{10,10,100,6},6}
Corheptal, {10,100,1,7}
Graatagolhepta, E100##100##100##100##100##100##100#100
Graatagolhepta-dexiheptis, E100##100##100##100##100##100##100#100#2
Greegolhepta, E100##100##100##100##100##100##100##3
Greegolhepta-threxiheptis, E100##100##100##100##100##100##100#100#100#2
Grinningolhepta, E100##100##100##100##100##100##100##4
Grinningolhepta-tetrexiheptis, E100##100##100##100##100##100##100#100#100#100#2
Golaagolhepta, E100##100##100##100##100##100##100##5
Golaagolhepta-pentexiheptis, E100##100##100##100##100##100##100#100#100#100#100#2
Gruelohgolhepta, E100##100##100##100##100##100##100##6
Gruelohgolhepta-hexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#2
Gaspgolhepta, E100##100##100##100##100##100##100##7
Gaspgolhepta-heptexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#100#2
Tetrahept, {7,7,7,7}
Ginorgolhepta, E100##100##100##100##100##100##100##8
Ginorgolhepta-octexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#100#100#2
Gargantuulhepta, E100##100##100##100##100##100##100##9
Gargantuulhepta-ennexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
Googondolhepta, E100##100##100##100##100##100##100##10
Googondolhepta-decexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
Gasp tridecal, {10,10,10,7}
Septultom, $f_{ω 7} (10)$
Googonkosolhepta, E100##100##100##100##100##100##100##20
Googontritolhepta, E100##100##100##100##100##100##100##30
Googonsartolhepta, E100##100##100##100##100##100##100##40
Googonpetolhepta, E100##100##100##100##100##100##100##50
Googonextolhepta, E100##100##100##100##100##100##100##60
Googoneptolhepta, E100##100##100##100##100##100##100##70
Googonogdolhepta, E100##100##100##100##100##100##100##80
Googonentolhepta, E100##100##100##100##100##100##100##90
Gugolocta / gugonocta / googonhectolhepta, E100##100##100##100##100##100##100##100
Bagol / Heptukiloogol, {10,10,100,7} = 10[0,7]100
Bwagol, {10,10,1000,7}
Heptibocal, Forcal_1,7(1)

Part 3.9: $f_{ω 7} (f_{3} (10))$ ~ $f_{ω 10} (f_{3} (10))$

Gugolocta-plexoctis, E100##100##100##100##100##100##100##100#2
Coroctal, {10,100,1,8}
Graatagolocta, E100##100##100##100##100##100##100##100#100
Graatagolocta-dexoctis, E100##100##100##100##100##100##100##100#100#2
Greegolocta, E100##100##100##100##100##100##100##100##3
Greegolocta-threxoctis, E100##100##100##100##100##100##100##100#100#100#2
Grinningolocta, E100##100##100##100##100##100##100##100##4
Grinningolocta-tetrexoctis, E100##100##100##100##100##100##100##100#100#100#100#2
Golaagolocta, E100##100##100##100##100##100##100##100##5
Golaagolocta-pentexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#2
Gruelohgolocta, E100##100##100##100##100##100##100##100##6
Gruelohgolocta-hexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#2
Gaspgolocta, E100##100##100##100##100##100##100##100##7
Gaspgolocta-heptexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#100#2
Ginorgolocta, E100##100##100##100##100##100##100##100##8
Ginorgolocta-octexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#2
Gargantuulocta, E100##100##100##100##100##100##100##100##9
Gargantuulocta-ennexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
Googondolocta, E100##100##100##100##100##100##100##100##10
Googondolocta-decexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
Octultom, $f_{ω 8} (10)$
Googonkosolocta, E100##100##100##100##100##100##100##100##20
Googontritolocta, E100##100##100##100##100##100##100##100##30
Googonsartolocta, E100##100##100##100##100##100##100##100##40
Googonpetolocta, E100##100##100##100##100##100##100##100##50
Googonextolocta, E100##100##100##100##100##100##100##100##60
Googoneptolocta, E100##100##100##100##100##100##100##100##70
Googonogdolocta, E100##100##100##100##100##100##100##100##80
Googonentolocta, E100##100##100##100##100##100##100##100##90
Bocgol, {10,10,100,8}
Gugolenna / gugonenna / googonhectolocta / gooemeralnona, E100##100##100##100##100##100##100##100##100
Octukiloogol, 10[0,8]100
Bwocgol, {10,10,1000,8}
Octibocal, Forcal_1,8(1)
Bocgolplex, {10,10,bocgol,8}
Gugolenna-plexenna, E100##100##100##100##100##100##100##100##100#2
Corental, {10,100,1,9}
Graatagolenna, E100##100##100##100##100##100##100##100##100#100
Graatagolenna-dexenna, E100##100##100##100##100##100##100##100##100#100#2
Greegolenna, E100##100##100##100##100##100##100##100##100##3
Greegolenna-threxenna, E100##100##100##100##100##100##100##100##100#100#100#2
Grinningolenna, E100##100##100##100##100##100##100##100##100##4
Grinningolenna-tetrexenna, E100##100##100##100##100##100##100##100##100#100#100#100#2
Golaagolenna, E100##100##100##100##100##100##100##100##100##5
Golaagolenna-pentexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#2
Gruelohgolenna, E100##100##100##100##100##100##100##100##100##6
Gruelohgolenna-hexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#2
Gaspgolenna, E100##100##100##100##100##100##100##100##100##7
Gaspgolenna-heptexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#2
Ginorgolenna, E100##100##100##100##100##100##100##100##100##8
Ginorgolenna-octexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#2
Gargantuulenna, E100##100##100##100##100##100##100##100##100##9
Gargantuulenna-ennexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
Googondolenna, E100##100##100##100##100##100##100##100##100##10
Googondolenna-decexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
Nonultom, $f_{ω 9} (10)$
Googonkosolenna, E100##100##100##100##100##100##100##100##100##20
Googontritolenna, E100##100##100##100##100##100##100##100##100##30
Googonsartolenna, E100##100##100##100##100##100##100##100##100##40
Googonpetolenna, E100##100##100##100##100##100##100##100##100##50
Googonextolenna, E100##100##100##100##100##100##100##100##100##60
Googoneptolenna, E100##100##100##100##100##100##100##100##100##70
Googonogdolenna, E100##100##100##100##100##100##100##100##100##80
Googonentolenna, E100##100##100##100##100##100##100##100##100##90
Gugoldeka / googonhectolenna / gugondeka / gooemeraldeca, E100##100##100##100##100##100##100##100##100##100
Ennukiloogol, 10[0,9]100
Bwengol, {10,10,1000,9}
Bengolplex, {10,10,{10,10,100,9},9}
Gugoldeka-plexideka, E100##100##100##100##100##100##100##100##100##100#2
Cordecal, {10,100,1,10}
Graatagoldeka, E100##100##100##100##100##100##100##100##100##100#100
Graatagoldeka-dexideka, E100##100##100##100##100##100##100##100##100##100#100#2
Greegoldeka, E100##100##100##100##100##100##100##100##100##100##3
Greegoldeka-threxideka, E100##100##100##100##100##100##100##100##100##100#100#100#2
Grinningoldeka, E100##100##100##100##100##100##100##100##100##100##4
Grinningoldeka-tetrexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#2
Golaagoldeka, E100##100##100##100##100##100##100##100##100##100##5
Golaagoldeka-pentexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#2
Gruelohgoldeka, E100##100##100##100##100##100##100##100##100##100##6
Gruelohgoldeka-hexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#2
Gaspgoldeka, E100##100##100##100##100##100##100##100##100##100##7
Gaspgoldeka-heptexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#2
Ginorgoldeka, E100##100##100##100##100##100##100##100##100##100##8
Ginorgoldeka-octexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#2
Gargantuuldeka, E100##100##100##100##100##100##100##100##100##100##9
Gargantuuldeka-ennexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
Googondoldeka, E100##100##100##100##100##100##100##100##100##100##10
Googondoldeka-decexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
General / tetradecal, {10,10,10,10}
Dekultom / bexom, $f_{ω 10} (10)$
Googonkosoldeka, E100##100##100##100##100##100##100##100##100##100##20
Googontritoldeka, E100##100##100##100##100##100##100##100##100##100##30
Googonsartoldeka, E100##100##100##100##100##100##100##100##100##100##40
Googonpetoldeka, E100##100##100##100##100##100##100##100##100##100##50
Googonextoldeka, E100##100##100##100##100##100##100##100##100##100##60
Googoneptoldeka, E100##100##100##100##100##100##100##100##100##100##70
Googonogdoldeka, E100##100##100##100##100##100##100##100##100##100##80
Googonentoldeka, E100##100##100##100##100##100##100##100##100##100##90
Gugolendeka / googonhectoldeka / gooemeralelevened, E100###11
Dekagranika, <0,10> |488
Bexgol / dekukiloogol, {10,10,100,10} = 10[0,10]100
Bwexgol, {10,10,1000,10}

Part 3.10: $f_{ω 10} (f_{3} (10))$ ~ $f_{ω^{2}} (f_{3} (10))$

Bexgolplex, {10,10,{10,10,100,10},10}
Hayden's General, 10(10)(10)10
Iteradekis, 10[&&&&&&&&&&10] = 10[&&&&&&&&&&&]
Gugoldodeka / gooemeraldozed, E100###12
Tetradozenal, {12,12,12,12}
Gugoltriadeka, E100###13
Gugoltetradeka, E100###14
Gugolpentadeka, E100###15
Gugolhexadeka, E100###16
Gugolheptadeka, E100###17
Gugoloctadeka, E100###18
Gugolennadeka, E100###19
Troo-guppy, {10,10,10,20}
Gugolicosa, E100###20
Gugoltrianta, E100###30
Pete.c numbers|pete-4.c, $\approx f_{ω 33} (1 0^{5})$
Gugolsaranta, E100###40
Troo-gogol, {10,10,10,50}
Gugolpeninta, E100###50
Chan.c numbers|chan.c, $\approx f_{ω 50} (1 0^{5})$
Gugolexinta, E100###60
White-aster, $Ast [5, ⟨ 64 ⟩]$
Gugolebdominta, E100###70
Greps, |1|₀(76)
Gugologdonta, E100###80
Troogolspeck, {10,10,10,90}
Gugoleneninta, E100###90
Throogol / throogord / gugolhecta / goohoolgol, E100###100
Grandogoogolplex, 10^E100###100
Grandogoogoldex, E100#(E100###100)
Grandogoogolsuplex, E100##(E100###100)
Grandogoogolsusuplex, E100##100##(E100###100)
Grandogoogoltetrasuplex, E100##100##100##(E100###100)
Troogol / Megoogol, {10,10,10,100} = 10[0,0,1]100
Hektultom, $f_{ω 100} (10)$
Tetrahectal, {100,100,100,100}
Grid-hyperon, 100{X²}100
Astuul, #{1}((10))*100
Hektagranika, <0,100> |488
Kaboodol, $f \to \underset{100}{\underset{⏟}{10 \to \dots 10 \to 10}} (100)$ , where f(n) = hyper(n,n,n)
Wakamoogol, $h \to \underset{100 10's}{\underset{⏟}{10 \to \dots 10 \to 10}} (100)$ , where h is hyperlicious function
Giabollaxul, 200$1
Giabixul, 200![200,200] ~ {10,10,199,201}
Kilogiabixul, (200![200,200])![200,200] ~ {10,3,200,201}
Megagiabixul, ((200![200,200])![200,200])![200,200] ~ {10,4,200,201}
Gigagiabixul, (((200![200,200])![200,200])![200,200])![200,200] ~ {10,5,200,201}
Grand Giabixul, 200(![200,200])^{200![200,200]+1} ~ {10,giabixul,200,201}
Grand Kilogiabixul, 200(![200,200])^{(200![200,200])![200,200]+1} ~ {10,kilogiabixul,200,201}
Grand Megagiabixul, 200(![200,200])^{((200![200,200])![200,200])![200,200]+1}
Grand Gigagiabixul, 200(![200,200])^{(((200![200,200])![200,200])![200,200])![200,200]+1}
Bigrand Giabixul, 200(![200,200])^{200(![200,200])^{200![200,200]+1}+1} ~ {10,Grand Giabixul,200,201}
Trigrand Giabixul, 200(![200,200])^{200(![200,200])^{200(![200,200])^{200![200,200]+1}+1}+1} ~ {10,4,201,201}
Collanika, <0,0,1>|488
Throogolchime, E1000###1000
Trwoogol, {10,10,10,1000}
Kilultom, $f_{ω 1000} (10)$
Throogoltoll, E10,000###10,000
Troogoltoll, {10,10,10,10000}
Level 5 gyatt rizz livvy dunne rizzing up baby gronk, $f_{ω^{2}} (69420)$
Throogolgong, E100,000###100,000
Troogolgong, {10,10,10,100000}
Gugolchilia-chila / gugolmega, E100###1,000,000
Megultom, $f_{ω 1000000} (10)$
Tris-Terribocal, Forcal_1,1000000(1) = Forcal_1,1,2(1)
Gigultom, $f_{ω 1 0^{9}} (10)$
Terultom, $f_{ω 1 0^{12}} (10)$
Petultom, $f_{ω 1 0^{15}} (10)$
Exultom, $f_{ω 1 0^{18}} (10)$
Zettultom, $f_{ω 1 0^{21}} (10)$
Yottultom, $f_{ω 1 0^{24}} (10)$
Googolplexithird, E100###1#2

Quadratic omega level

Part 3.11: $f_{ω^{2}} (f_{3} (10))$ ~ $f_{ω^{2} 2} (f_{3} (10))$

Chainol, s(3,2,2,1,2)
Gugolda-plexithird, E100###2#2
Great gugolthra, E100###3#2
Tetratriplex, {3,3,1,1,2}
Gugoltesla-plexithird / Great gugoltesla, E100###4#2
Gugolpeta-plexithird / Great gugolpeta, E100###5#2
Gugolhexa-plexithird / Great gugolhexa, E100###6#2
Gugolhepta-plexithird / Great gugolhepta, E100###7#2
Gugolocta-plexithird / Great gugolocta, E100###8#2
Gugolenna-plexithird / Great gugolenna, E100###9#2
Gugoldeka-plexithird / Great gugoldeka, E100###10#2
Generalplex, {10,3,1,1,2}
Tetrahectalplex, {100,3,1,1,2}
Grand throogol / Grandogoogolgrandoplex / Throogolplexithird, E100###100#2
Kaboodolplex, $f \to \underset{kaboodol}{\underset{⏟}{10 \to 10 \dots \to 10}} (100)$ , where f(n) = hyper(n,n,n)
Wakamoogolplex, $h \to \underset{wakamoogol 10's}{\underset{⏟}{10 \to 10 \dots \to 10}} (100)$ , where h is hyperlicious function
Troogolplex, {10,10,10,{10,10,10,100}}
Tris-Terribocaior Tris-Terribocal, Forcal_1,1,2(2)
Googolduplexithird, E100###1#3
Gugolda-duplexithird, E100###2#3
Gugolthra-duplexithird, E100###3#3
Gugoltesla-duplexithird, E100###4#3
Gugolpeta-duplexithird, E100###5#3
Chainolplex, s(3,3,2,1,2)
Grand grand throogol / Throogolduplexithird, E100###100#3
Troogolduplex, {10,10,10,{10,10,10,{10,10,10,100}}}
Chainolbiplex, s(3,4,2,1,2)
Chainoltriplex, s(3,5,2,1,2)
Chainolquadriplex, s(3,6,2,1,2)
Unadd-bexom, $f_{ω^{2} + 1} (10)$
Fish number 1, $\approx f_{ω^{2} + 1} (63)$
Ungreps, |1|₁(76)
Meg-Googol, 10[1,0,1]100
Cormegoporal / corgreygotial, {10,100,1,1,2}
Thrangol / granhoolgol, E100###100#100
Rexuul, #{1}* ((10))*100
Tris-Terribuporcal, Forcal_2,1,2(1)
Googoldexithird, E100###1#1#2
Grangoldexithird, E100###100#(E100#100)
Greagoldexithird, E100###100#(E100#100#100)
Gigangoldexithird, E100###100#(E100#100#100#100)
Gorgegoldexithird, E100###100#(E100#100#100#100#100)
Gulgoldexithird, E100###100#(E100##6)
Gaspgoldexithird, E100###100#(E100##7)
Ginorgoldexithird, E100###100#(E100##8)
Gugolda-dexithird, E100###2#1#2
Graatagolda-dexithird, E100###100#(E100##100#100)
Greegolda-dexithird, E100###100#(E100##100#100#100)
Chainbol, s(3,2,3,1,2)
Grinningolda-dexithird, E100###100#(E100##100##4)
Mouffles Monster, cg^G(G)
Gugolthra-dexithird, E100###3#1#2
Gugoltesla-dexithird, E100###4#1#2
Gugolpeta-dexithird, E100###5#1#2
Gugolhexa-dexithird, E100###6#1#2
Throogoldexithird, E100###100#1#2
Grand thrangol / Thrangoldexithird, E100###100#100#2
BOX_M̃, $\approx f_{ω^{2} + 1} (f_{ω^{2}} (f_{ω + 2} (f_{ω + 1} (64))))$
Chainbolplex, s(3,3,3,1,2)
Badd-bexom, $f_{ω^{2} + 2} (10)$
Deugreps, |1|₂(76)
Meg-Doogol, 10[2,0,1]100
Mulmegoporal / mulgreygotial, {10,100,2,1,2}
Threagol / greahoolgol, E100###100#100#100
Tris-Terribegorcal, Forcal_3,1,2(1)
Chaintrol, s(3,2,4,1,2)
Grand threagol, E100###100#100#100#2
Chaintrolplex, s(3,3,4,1,2)
Troigreps, |1|₃(76)
Thrigangol / giganhoolgol, E100###100#100#100#100
Tris-Terribypercal, Forcal_4,1,2(1)
Grand thrigangol, E100###100#100#100#100#2
Grand coral, 3AA3
Powmegoporal / powergreygotial, {10,100,4,1,2}
Throrgegol / gorgehoolgol, E100###100##5
Grand throrgegol, E100###100#100#100#100#100#2
Tetramegoporal / tetragreygotial, {10,100,5,1,2}
Thrulgol / gulhoolgol, E100###100##6
Grand thrulgol, E100###100#100#100#100#100#100#2
Thraspgol, E100###100##7
Grand thraspgol, E100###100#100#100#100#100#100#100#2
Thrinorgol, E100###100##8
Grand thrinorgol, E100###100#100#100#100#100#100#100#100#2
Thrarantuul, E100###100##9
Grand thrarantuul, E100###100#100#100#100#100#100#100#100#100#2
Throogondol, E100###100##10
Bigreps, |2|₀(76)
Thrugold / goolhoolda, E100###100##100 = E100###100###2
Aperiomegoporal, {10,10,100,1,2}
Meg-Kiloogol, 10[0,1,1]100
Gooandol, 10[&₁100]
Astuulgold, #{1}^((10))*100
Tris-Terrible-Terribocal, Forcal_1000000,1,2(1) = Forcal_1,2,2(1)
Fa fel falafel, E[16]128###(100Factorial|!)##(2^89-1)
Coke d Lout, {10,10,{3,3,3,3},1,2}
Chainprimol, s(3,2,2,2,2)
Grand thrugold, E100###100##100#2
Chainprimolplex, s(3,3,2,2,2)
Meg-Kil-Googol, 10[1,1,1]100
Thraatagold / graatahoolda, E100###100##100##2
Chainpribol, s(3,2,3,2,2)
Chainpribolplex, s(3,3,3,2,2)
Multimegoporal, {10,100,2,2,2}
Threegold / greegahoolda, E100###100##100#100#100
Thrinningold / grinninhoolda, E100###100##100#100#100#100
Great coral, 3AAA3
Throlaagold / golaahoolda, E100###100##100#100#100#100#100
Thruelohgold / gruelohhoolda, E100###100##100#100#100#100#100#100
Thraspgold, E100###100##100##7
Thrinorgold, E100###100##100##8
Thrargantuuld, E100###100##100##9
Throogondold, E100###100##100##10
Trigreps, |3|₀(76)
Thrugolthra / goolhoolthra, E100###100##100##100
Meg-Dukiloogol, 10[0,2,1]100
Tris-Terrible-Tribocal, Forcal_1,3,2(1)
Chainduprimol, s(3,2,2,3,2)
Chainduprimolplex, s(3,3,2,3,2)
Cor-megoexplodal / cor-explodogotial, {10,100,1,3,2}
Thraatagolthra, E100###100##100##100#100
Chaindupribol, s(3,2,3,3,2)
Chaindupribolplex, s(3,3,3,3,2)
Threegolthra, E100###100##100##100#100#100
Conway's Su-tritri, 3 →₃ 3
Grand tetratri, {3,3,3,3,2}
Cyper coral, 3B3
Thrinningolthra, E100###100##100##100#100#100#100
Descend-hex, {6,5,4,3,2}
Throlaagolthra, E100###100##100##100##5
Thruelohgolthra, E100###100##100##100##6
Thraspgolthra, E100###100##100##100##7
Thrinorgolthra, E100###100##100##100##8
Thrargantuulthra, E100###100##100##100##9
Throogondolthra, E100###100##100##100##10
Thrugoltesla / goolhooltesla, E100###100##100##100##100
Meg-Trukiloogol, 10[0,3,1]100
Hph ý¢p, {345,245,{536,546},3,2}
Tomodachi, (22 {4, 4} 37)
Cor-megodetal / cordetonagotial, {10,100,1,4,2}
Thraatagoltesla, E100###100##100##100#100
Threegoltesla, E100###100##100##100##3
Thrinningoltesla, E100###100##100##100##4
Throlaagoltesla, E100###100##100##100##5
Thruelohgoltesla, E100###100##100##100##6
Tris-Terrible-Tetribocal, Forcal_1,4,2(1)
Chaintruprimol, s(3,2,2,4,2)
Chaintruprimolplex, s(3,3,2,4,2)
Chaintrupribol, s(3,2,3,4,2)
Chaintrupribolplex, s(3,3,3,4,2)
Thrugolpeta / goolhoolpeta, E100###100###5
Cor-megopental / corpentonagotial, {10,100,1,5,2}
Thraatagolpeta, E100###100##100##100##100##2
Threegolpeta, E100###100##100##100##100##3
Thrinningolpeta, E100###100##100##100##100##4
A Ljónvrri = {144,28,8,5,2}
Thrugolhexa / goolhoolhexa, E100###100###6
Thraatagolhexa, E100###100##100##100##100##100##2
Threegolhexa, E100###100##100##100##100##100##3
Thrugolhepta, E100###100###7
Thraatagolhepta, E100###100##100##100##100##100##100##2
Thrugolocta, E100###100###8
Thraatagolocta, E100###100##100##100##100##100##100##100##2
Thrugolenna, E100###100###9
Thrugoldeka, E100###100###10
Grand tetradecal, {10,10,10,10,2}
Inspire, 10[&₁&₁]
Thrugolicosa, E100###100###20
Thrugoltrianta, E100###100###30
Thrugolsaranta, E100###100###40
Thrugolpeninta, E100###100###50
Grepss, ³1₀(76)
Throotrigol / tristo-throogol / tris-throogol / gootroolgol, E100###100###100 = E100####3
Duriga, s(10,100,1,1,3)
Triggol / Dumegoogol, {10,10,10,100,2} = 10[0,0,2]100
Trwiggol / triggolchime, {10,10,10,1000,2}
Triggoltoll, {10,10,10,10000,2}
Triggolgong, {10,10,10,100000,2}
Tris-Tribocal, Forcal_1,1000000,2(1) = Forcal_1,1,3(1)

Part 3.12: $f_{ω^{2} 2} (f_{3} (10))$ ~ $f_{ω^{2} 3} (f_{3} (10))$

Duchainol, s(3,2,2,1,3)
Grand throotrigol, E100###100###100#2
Triggolplex, {10,10,10,{10,10,10,100,2},2}
Tris-Tribocaior Tris-Tribocal, Forcal_1,1,3(2)
Duchainolplex, s(3,3,2,1,3)
Dumeg-Googol, 10[1,0,2]100
Thrantrigol / tristo-thrangol / tris-thrangol, E100###100###100##2
Duchainbol, s(3,2,3,1,3)
Duchainbolplex, s(3,3,3,1,3)
Threatrigol / tristo-threagol / tris-threagol, E100###100###100##3
Thrigantrigol, E100###100###100##4
Throrgetrigol, E100###100###100##5
Thrultrigol, E100###100###100##6
Thrasptrigol, E100###100###100##7
Thrinortrigol, E100###100###100##8
Thrargantrituul, E100###100###100##9
Throogontridol, E100###100###100##10
Thrutrigold / tristo-thrugold / tris-thrugold, E100###100###100##100 = E100###100###100###2
Dumeg-Kiloogol, 10[0,1,2]100
Cor-gigotial, {10,100,1,1,3}
Tris-Trible-Terribocal, Forcal_1,2,3(1)
Duchainprimol, s(3,2,2,2,3)
Duchainprimolplex, s(3,3,2,2,3)
Orca trek kit, E[56]10###10###10##80##2
Thraatatrigold / tristo-thraatagold / tris-thraatagold, E100###100###100##100##2
Duchainpribol, s(3,2,3,2,3)
Duchainpribolplex, s(3,3,3,2,3)
Threetrigold / tristo-threegold / tris-threegold, E100###100###100##100##3
Thrinnintrigold, E100###100###100##100##4
Throlaatrigold, E100###100###100##100##5
Thruelohtrigold, E100###100###100##100##6
Thrasptrigold, E100###100###100##100##7
Thrinortrigold, E100###100###100##100##8
Thrargantrituuld, E100###100###100##100##9
Throogontridold, E100###100###100##100##10
Thrutrigolthra / tristo-thrugolthra / tris-thrugolthra, E100###100###100##100##100 = E100###100###100###3
Dumeg-Dukiloogol, 10[0,2,2]100
Tris-Trible-Tribocal, Forcal_1,3,3(1)
Duchainduprimol, s(3,2,2,3,3)
Duchainduprimolplex, s(3,3,2,3,3)
Thraatatrigolthra / tristo-thraatagolthra / tris-thraatagolthra, E100###100###100##100##100##2
Duchaindupribol, s(3,2,3,3,3)
Pententri / duchaindupribolplex, s(3,3,3,3,3)
Pentatri, {3,3,3,3,3}
Dutrearmix, [3]↤[3]↤[3]
TriCoral, 3G3
Thrutrigoltesla / tristo-thrugoltesla / tris-thrugoltesla, E100###100###100###4
Tris-Trible-Tetribocal, Forcal_1,4,3(1)
Conway's Su-tritet, 4 →₄ 4
Thrutrigolpeta / tristo-thrugolpeta / tris-thrugolpeta, E100###100###100###5
Thrutrigolhexa / tristo-thrugolhexa / tris-thrugolhexa, E100###100###100###6
Admire, 10[&₁&₁&₁]
Great tetradecal, {10,10,10,10,3}
Grepsss, ⁴1₀(76)
Throotergol / teristo-throogol / tessi-throogol, E100###100###100###100 = E100####4
Traggol / Trumegoogol, {10,10,10,100,3} = 10[0,0,3]100
Tri-astuul, #{1}{1}{1}((10))*100
Tris-Tetribocal, Forcal_1,1,4(1)

Part 3.13: $f_{ω^{2} 3} (f_{3} (10))$ ~ $f_{ω^{3}} (f_{3} (10))$

Truchainol, s(3,2,2,1,4)
Traggolplex, {10,10,10,{10,10,10,100,3},3}
Truchainolplex, s(3,3,2,1,4)
Cor-terotial, {10,100,1,1,4}
Thrantergol / teristo-thrangol / tessi-thrangol, E100###100###100###100##2
Truchainbol, s(3,2,3,1,4)
Truchainbolplex, s(3,3,3,1,4)
Threatergol / teristo-threagol / tessi-threagol, E100###100###100###100##3
Thrutergold / teristo-thrugold / tessi-thrugold, E100###100###100###100##100
Trumeg-Kiloogol, 10[0,1,3]100
Truchainprimol, s(3,2,2,2,4)
Truchainprimolplex, s(3,3,2,2,4)
Thraatatergold / teristo-thraatagold / tessi-thraatagold, E100###100###100###100##100##2
Truchainpribol, s(3,2,3,2,4)
Truchainpribolplex, s(3,3,3,2,4)
Thrutergolthra / teristo-thrugolthra / tessi-thrugolthra, E100###100###100###100###3
Truchainduprimol, s(3,2,2,3,4)
Truchainduprimolplex, s(3,3,2,3,4)
Truchaindupribol, s(3,2,3,3,4)
Truchaindupribolplex, s(3,3,3,3,4)
Hayden's Pentatri, 3(3)(3)(3)3
Golden coral, 3D3
Thrutergoltesla / teristo-thrugoltesla / tessi-thrugoltesla, E100###100###100###100###4
Pententet, s(4,4,4,4,4)
Thrutergolpeta / teristo-thrugolpeta / tessi-thrugolpeta, E100###100###100###100###5
Conway's Su-tripent, 5 →₅ 5
Thrutergolhexa / teristo-thrugolhexa / tessi-thrugolhexa, E100###100###100###100###6
Desire, 10[&₁&₁&₁&₁]
Grepssss, ⁵1₀(76)
Throopetol / pesto-throogol / penri-throogol, E100###100###100###100###100 = E100####5
Treegol / Tetrumegoogol, {10,10,10,100,4} = 10[0,0,4]100
Tris-Pentibocal, Forcal_1,1,5(1)
Thranpetol / pesto-thrangol / penri-thrangol, E100###100###100###100###100##2
Thrupetold / pesto-thrugold / penri-thrugold, E100###100###100###100###100##100
Thrupetolthra / pesto-thrugolthra / penri-thrugolthra, E100###100###100###100###100###3
Thrupetoltesla, E100###100###100###100###100###4
Thrupetolpeta, E100###100###100###100###100###5
Pentenpent, s(5,5,5,5,5)
Superpent, {5,5,5,5,5}
Conway's Su-trihex, 6 →₆ 6
Grep-5-s, ⁶1₀(76)
Throohexol / existo-throogol / exi-throogol, E100###100###100###100###100###100 = E100####6
Trigol / Pentumegoogol, {10,10,10,100,5} = 10[0,0,5]100
Tris-Hexibocal, Forcal_1,1,6(1)
Cor-exotial / corhatotial, {10,100,1,1,6}
Thranhexol / existo-thrangol / exi-thrangol, E100###100###100###100###100###100##2
Mulhatotial, {10,100,2,1,6}
Thruhexold / existo-thrugold / exi-thrugold, E100###100###100###100###100###100##100
Thruhexolthra / existo-thrugolthra / exi-thrugolthra, E100###100###100###100###100###100###3
Pentenhex, s(6,6,6,6,6)
Hexarplex, $Q_{1, 0, 0, 0} (6)$
Hayden's Pentapent, 5(5)(5)(5)5
Conway's Su-trisept, 7 →₇ 7
Throoheptgol / episto-throogol / epti-throogol, E100####7
Troggol, {10,10,10,100,6}
Cor-zettotial, {10,100,1,1,7}
Ascend-hept, {3,4,5,6,7}
Pentahept, {7,7,7,7,7}
Conway's Su-trioct, 8 →₈ 8
Throogogdol / ogisto-throogol / okti-throogol, E100####8
Tragol, {10,10,10,100,7}
Cor-yottotial, {10,100,1,1,8}
Conway's Su-triennet, 9 →₉ 9
Trocgol, {10,10,10,100,8}
Throogentol / giyottatogoogol, E100####9
Wreak oaf meson, {{12,12,12},8,8,8,8}
Trocgolplex, {10,10,10,{10,10,10,100,8},8}
Cor-xenotial, {10,100,1,1,9}
Trengol, {10,10,10,100,9}
Throodekol / ginovatogoogol, E100####10
Trengolplex, {10,10,10,{10,10,10,100,9},9}
Coruzotial, {10,100,1,1,10}
Thrudekold, E100###100###100###100###100###100###100###100###100###100##100
Thrudekolthra, E100###100###100###100###100###100###100###100###100###100###3
Thrudekoltesla, E100###100###100###100###100###100###100###100###100###100###4
Thrudekolpeta, E100###100###100###100###100###100###100###100###100###100###5
Pentadecal, {10,10,10,10,10}
Trexom, $f_{ω^{3}} (10)$
Conway's Su-tridecal, 10 →₁₀ 10
Trexgol, {10,10,10,100,10}
Trexgolplex, {10,10,10,{10,10,10,100,10},10}
Gitenatogoogol / throoendekol, E100####11
Coru-uotial, {10,100,1,1,11}
Gitenakilotogoogol / throododekol, E100####12
Coru-udotial, {10,100,1,1,12}
Pentadozenal, {12,12,12,12,12}
Throotriadekol, E100####13
Throotetradekol, E100####14
Throopentadekol, E100####15
Throohexadekol, E100####16
Throogicosol, E100####20
Cor-dzotial, {10,100,1,1,20}
Throotriantol, E100####30
Throosarantol, E100####40
Throopenintol, E100####50
Throogexintol, E100####60
Fish number 2, $\approx f_{ω^{3}} (63)$
Throogebdomintol, E100####70
Aya, 1^[1]₀(76)
Throogogdontol, E100####80
Throogenenintol, E100####90
Quadroogolspeck, {10,10,10,10,90}
Quadroogolchunk, {10,10,10,10,99}
Tetroogol / tetroogorth / teroogol / throohectol, E100####100
Quadroogol / Gigoogol, {10,10,10,10,100} = 10[0,0,0,1]100
Pentahectal, {100,100,100,100,100}
Cube-hyperon, 100{X³}100
Galaxiol, #{2}((10))*100
Giatrollaxul, 200$2
Juice-infused SAN, s(17, 592, 186, 44, 416)
Juice-infused BEAF, {17, 592, 186, 44, 416}
Juice-infused HAN, 17(186)(44)(416)592
Titanika, <0,0,0,1>|488
Burrito, {555,555,555,555,555}
Throochilol, E100####1000
Quadrwoogol, {10,10,10,10,1000}
Throomyriol, E100####10,000
Quadroogolgong, {10,10,10,10,100000}
Teris-Terribocal, Forcal_1,1,1000000(1) = Forcal_1,1,1,2(1)
Throoterol, E100####10¹²
Throopettol, E100####10¹⁵
Throo-exol, E100####10¹⁸
Googolplexifourth, E100####1#2

Polynomial omega level

Part 3.14: $f_{ω^{3}} (f_{3} (10))$ ~ $f_{ω^{3} 2} (f_{3} (10))$

Throogolplexifourth, E100####2#2
Thrangolplexifourth, E100####(E100###100#100)
Thrugolda-plexifourth, E100####(E100###100##100)
Choinol, s(3,2,2,1,1,2)
Throotrigolplexifourth, E100####3#2
Pentatriplex, {3,3,1,1,1,2}
Throotergolplexifourth, E100####4#2
Throopetolplexifourth, E100####5#2
Pentadecalplex, {10,3,1,1,1,2}
Grand tetroogol, E100####100#2
Quadroogolplex, {10,10,10,10,{10,10,10,10,100}}
Pentahectalplex, {100,3,1,1,1,2}
Choinolplex, s(3,3,2,1,1,2)
Choinalbiplex, s(3,4,2,1,1,2)
Gig-Googol, 10[1,0,0,1]100
Corpowerinatial, {10,100,1,1,1,2}
Tetrangol / terangol, E100####100#100
Teris-Terribuporcal, Forcal_2,1,1,2(1)
Pesty Pitt / Aluminium phosphide, {Drava,Drava,1,1,1,2}
Choinbol, s(3,2,3,1,1,2)
Choinbolplex, s(3,3,3,1,1,2)
Tetreagol / tereagol, E100####100#100#100
Teris-Terribegorcal, Forcal_3,1,1,2(1)
C-tri, C(3, 3, 3)
Tetrigangol, E100####100#100#100#100
Tetrorgegol, E100####100##5
Tetrulgol, E100####100##6
Tetraspgol, E100####100##7
Tetrinorgol, E100####100##8
Tetrargantuul, E100####100##9
Tetroogondol, E100####100##10
C-decal, C(10, 10, 10)
Tetrugold / terugold, E100####100##100
Gig-Kiloogol, 10[0,1,0,1]100
Booandol, 10[&₂100]
Teris-Terrible-Terribocal, Forcal_1,2,1,2(1)
Choinprimol, s(3,2,2,2,1,2)
Choinprimolplex, s(3,3,2,2,1,2)
Tetraatagold / teraatagold, E100####100##100#100
Tetreegold / tereegold, E100####100##100#100#100
Tetrinningold / terinningold, E100####100##100#100#100#100
Corexpandainatial, {10,100,1,2,1,2}
Choinpribol, s(3,2,3,2,1,2)
Choinpribolplex, s(3,3,3,2,1,2)
Tetrugolthra / terugolthra, E100####100###3
Teris-Terrible-Tribocal, Forcal_1,3,1,2(1)
Choinduprimol, s(3,2,2,3,1,2)
Choinduprimolplex, s(3,3,2,3,1,2)
Corexplodainatial, {10,100,1,3,1,2}
Choindupribol, s(3,2,3,3,1,2)
Choindupribolplex, s(3,3,3,3,1,2)
Tetrugoltesla / terugoltesla, E100####100###4
Teris-Terrible-Tetribocal, Forcal_1,4,1,2(1)
Cordetodainiatial, {10,100,1,4,1,2}
Tetrugolpeta, E100####100###5
Corpentodainiatial, {10,100,1,5,1,2}
Tetrugolhexa, E100####100###6
Tetrithroogol / teri-throogol, E100####100###100
Gig-Megoogol, 10[0,0,1,1]100
Teris-Terrible-Tris-Terribocal, Forcal_1,1,2,2(1)
Choichainol, s(3,2,2,1,2,2)
Choichainolplex, s(3,3,2,1,2,2)
Cormegodainiatial, {10,100,1,1,2,2}
Choichainbolplex, s(3,3,3,1,2,2)
Cormegoexpandatial, {10,100,2,2,2,2}
Choichainpribolplex, s(3,3,3,2,2,2)
Choichaindupribolplex, s(3,3,3,3,2,2)
Tetrithrootrigol / teri-tristo-throogol / teri-tris-throogol, E100####100###100###100
Teris-Terrible-Tris-Tribocal, Forcal_1,1,3,2(1)
Cor-gigodainatial, {10,100,1,1,3,2}
Choiduchaindupribolplex, s(3,3,3,3,3,2)
Descenhept, {7,6,5,4,3,2}
Tetrithrootergol / teri-teristo-throogol / teri-tessi-throogol, E100####100###100###100###100
Teris-Terrible-Tris-Tetribocal, Forcal_1,1,4,2(1)
Corterodainatial, {10,100,1,1,4,2}
Tetrithroopetol / teri-pesto-throogol / teri-penri-throogol, E100####100###100###100###100###100
Corpexodainatial, {10,100,1,1,5,2}
Tetrithroohexol / teri-existo-throogol / teri-exi-throogol, E100####100###100###100###100###100###100
Tetrithrooheptgol, E100####100####7
Ayaa, 1^[2]₀(76)
Tetrootrigol / tristo-teroogol / tris-teroogol, E100####100####100 = E100#####3
Quadriggol / Dugigoogol, {10,10,10,10,100,2} = 10[0,0,0,2]100

Teris-Tribocal, Forcal_1,1,1,3(1)

Part 3.15: $f_{ω^{3} 2} (f_{3} (10))$ ~ $f_{ω^{4}} (f_{3} (10))$

Quadriggolplex, {10,10,10,10,{10,10,10,10,100,2},2}
Corpowiairatial, {10,100,1,1,1,3}
Tetrantrigol, E100####100####100#100
Tetreatrigol, E100####100####100#100#100
Tetrutrigold, E100####100####100##100
Tetratrithroogol / tristo-teri-throogol / tris-teri-throogol, E100####100####100###100
Cormegodairatial, {10,100,1,1,2,3}
Tetratrithrootrigol / tristo-teri-tristo-throogol / tris-teri-tris-throogol, E100####100####100###100###100
Corgigodairatial, {10,100,1,1,3,3}
Corgigoexplodainitial, {10,100,1,3,3,3}
Hexentri, s(3,3,3,3,3,3)
Hexatri, {3,3,3,3,3,3}
Ayaaa, 1^[3]₀(76)
Tetrootergol / teristo-teroogol / tessi-teroogol, E100####100####100####100 = E100#####4
Quadraggol / Trugigoogol, {10,10,10,10,100,3} = 10[0,0,0,3]100
Tri-galaxiol, #{2}{2}{2}((10))*100
Teris-Tetribocal, Forcal_1,1,1,4(1)
Corpowiaitionatial, {10,100,1,1,1,4}
Tetrantergol, E100####100####100####100#100
Tetraterithroogol / teristo-teri-throogol / tessi-teri-throogol, E100####100####100####100###100
Hexentet, s(4,4,4,4,4,4)
Hayden's Hexatri, 3(3)(3)(3)(3)3
Hexatet, {4,4,4,4,4,4}
Ayaaaa, 1^[4]₀(76)
Tetroopetol / pesto-teroogol / penri-teroogol, E100#####5
Quadreegol, {10,10,10,10,100,4}
Teris-Pentibocal, Forcal_1,1,1,5(1)
Corpowiaientatial, {10,100,1,1,1,5}
Hexenpent, s(5,5,5,5,5,5)
Hexapent, {5,5,5,5,5,5}
Tetroohexol / existo-teroogol / exi-teroogol, E100#####6
Quadrigol, {10,10,10,10,100,5}
Corpowiaihexatial, {10,100,1,1,1,6}
Hexenhex, s(6,6,6,6,6,6)
Superhex, {6,6,6,6,6,6}
Tetrooheptgol / episto-teroogol / epti-teroogol, E100#####7
Quadroggol, {10,10,10,10,100,6}
Corpowiaiheptatial, {10,100,1,1,1,7}
Hayden's Hexahex / hyperhex, 6(6)(6)(6)(6)6
Tetroogogdol / ogisto-teroogol / okti-teroogol, E100#####8
Quadragol, {10,10,10,10,100,7}
Corpowiaioctatial, {10,100,1,1,1,8}
Ascendoct, {3,4,5,6,7,8}
Tetroogentol, E100#####9
Quadrocgol, {10,10,10,10,100,8}
Quadrocgolplex, {10,10,10,10,{10,10,10,10,100,8},8}
Tetroodekol, E100#####10
Quadrengol, {10,10,10,10,100,9}
Quadrengol], {10,10,10,10,{10,10,10,10,100,9},9}
Hexadecal, {10,10,10,10,10,10}
Quadrexom, $f_{ω^{4}} (10)$
Quadrexgol, {10,10,10,10,100,10}
Quadrexgolplex, {10,10,10,10,{10,10,10,10,100,10},10}
Hexadozenal, {12,12,12,12,12,12}
Issou, 1^[0,1]₀(76)
Pentoogol / pentoogith / petoogol, E100#####100
Quintoogol / Teroogol (Username5243), {10,10,10,10,10,100} = 10[0,0,0,0,1]100
Hectargum-quadrexom, $f_{ω^{4}} (100)$
Hexahectal, {100,100,100,100,100,100}
Tessa-hyperon, 100{X⁴}100
Cosmol, #{3}((10))*100
Giaquadrollaxul, 200$3
Onion-infused BEEF, {210,42,141,113,214,300}
Mostranika, <0,0,0,0,1> |488
Quintwoogol, {10,10,10,10,10,1000}
Petris-Terribocal, Forcal_1,1,1,1,2(1)

Part 3.16: $f_{ω^{4}} (f_{3} (10))$ ~ $f_{ω^{ω}} (f_{3} (10))$

Hexadecalplex, {10,3,1,1,1,1,2}
Grand pentoogol, E100#####100#2
Quintoogolplex, {10,10,10,10,10,{10,10,10,10,10,100}}
Corheptogatial, {10,100,1,1,1,1,2}
Pentrangol, E100#####100#100
Trooandol, 10[&₃100]
Pentugold, E100#####100##100
Pentithroogol, E100#####100###100
冬の数, s(12, 12, 1, 2, 12, 1, 2)
Pentitetroogol, E100#####100####100
Descent-oct, {8,7,6,5,4,3,2}
Pentootrigol, E100#####100#####100
Quintiggol / Duteroogol, {10,10,10,10,10,100,2} = 10[0,0,0,0,2]100
Petris-Tribocal, Forcal_1,1,1,1,3(1)
Corcuboheptogatial, {10,100,1,1,1,1,3}
Leudaren flashes, {3,9,1,1,3,3,3}
Heptatri, {3,3,3,3,3,3,3}
Pentootergol, E100#####100#####100#####100
Quintaggol, {10,10,10,10,10,100,3}
Petris-Tetribocal, Forcal_1,1,1,1,4(1)
Cortessoheptogatial, {10,100,1,1,1,1,4}
Hayden's Heptatri, 3(3)(3)(3)(3)(3)3
Pentoopetol, E100#####100#####100#####100#####100 = E100######5
Quinteegol, {10,10,10,10,10,100,4}
Corpentoheptogatial, {10,100,1,1,1,1,5}
Quintigol, {10,10,10,10,10,100,5}
Supersept, {7,7,7,7,7,7,7}
Quintagol, {10,10,10,10,10,100,7}
Hayden's Heptahept / hyperhept, 7(7)(7)(7)(7)(7)7
Ascendenn, {3,4,5,6,7,8,9}
Heptadecal, {10,10,10,10,10,10,10}
Quintexom, $f_{ω^{5}} (10)$
Lower wun, {1111!,11,1,1,1,11!,11}
Issouplex, 1^[0,0,1]₀(76)
Hexoogol / hexoogixth / ectoogol, E100######100
Sextoogol / Petoogol (Username5243), {10,10,10,10,10,10,100} = 10[0,0,0,0,0,1]100
Heptahectal, {100,100,100,100,100,100,100}
Peta-hyperon, 100{X⁵}100
Hyperiol, #{4}((10))*100
Sextwoogol, {10,10,10,10,10,10,1000}
Ectris-Terribocal, Forcal_1,1,1,1,1,2(1)
Grand hexoogol, E100######100#2
Hexangol, E100######100#100
Hexithrinorgol / Kilts en vos, E100######100###100##8
Descenenn, {9,8,7,6,5,4,3,2}
Hexootrigol, E100######100######100
Sextiggol, {10,10,10,10,10,10,100,2}
Ectris-Tribocal, Forcal_1,1,1,1,1,3(1)
Octatri, {3,3,3,3,3,3,3,3}
Sextaggol, {10,10,10,10,10,10,100,3}
Ectris-Tetribocal, Forcal_1,1,1,1,1,4(1)
Hayden's Octatri, 3(3)(3)(3)(3)(3)(3)3
Sexteegol, {10,10,10,10,10,10,100,4}
Sextigol, {10,10,10,10,10,10,100,5}
Bairn and Ride, {14,14,14,53,2,5,3,8}
Superoct, {8,8,8,8,8,8,8,8}
Chicken chasseur, {3,6,1,1,1,1,4,9}
Hyperogd, 8(8)(8)(8)(8)(8)(8)8
Ascend-deck, {3,4,5,6,7,8,9,10}
Octadecal, {10,10,10,10,10,10,10,10}
Sextexom, $f_{ω^{6}} (10)$
Issouduplex, 1^[0,0,0,1]₀(76)
Heptoogol / heptoogenth / zettoogol, E100#######100
Septoogol / Ectoogol (Username5243), {10,10,10,10,10,10,10,100} = 10[0,0,0,0,0,0,1]100
Ultrol, #{5}((10))*100
Septwoogol, {10,10,10,10,10,10,10,1000}
Zetris-Terribocal, Forcal_{1,1,1,1,1,1,2}(1)
Grand heptoogol, E100#######100#2
Heptrangol, E100#######100#100
Ultra-galaxiol, #{5}{2}((10))*100
Ultra-cosmol, #{5}{3}((10))*100
Ultra-hyperiol, #{5}{4}((10))*100
Pentooandol, 10[&₅100]
Heptootrigol, E100#######100#######100
Septiggol, {10,10,10,10,10,10,10,100,2}
Bi-ultrol, #{5}{5}((10))*100
Ultra-hyper-cosmo-galaxi-cosmo-hyper-ultrol, #{5}{4}{3}{2}{3}{4}{5}((10))*100
Zetris-Tribocal, Forcal_{1,1,1,1,1,1,3}(1)
Enneatri, {3,3,3,3,3,3,3,3,3}
Tri-ultrol, #{5}{5}{5}((10))*100
Heptootergol, E100#######100#######100#######100
Septaggol, {10,10,10,10,10,10,10,100,3}
Zetris-Tetribocal, Forcal_{1,1,1,1,1,1,4}(1)
Hayden's Ennatri, 3(3)(3)(3)(3)(3)(3)(3)3
Superenn, {9,9,9,9,9,9,9,9,9}
Hyperenn, 9(9)(9)(9)(9)(9)(9)(9)9
Ennadecal, {10,10,10,10,10,10,10,10,10}
Septexom, $f_{ω^{7}} (10)$
Issoutriplex, 1^[0,0,0,0,1]₀(76)
Ogdoogol / yottoogol, E100########100
Octoogol / Zettoogol (Username5243), {10,10,10,10,10,10,10,10,100} = 10[0,0,0,0,0,0,0,1]100
Octwoogol, {10,10,10,10,10,10,10,10,1000}
Yotris-Terribocal, Forcal_{1,1,1,1,1,1,1,2}(1)
Ogdahepti-hexapenti-tetrithroogol / yotti-zetti-ecti-peti-teri-throogol, E100########100#######100######100#####100####100###100
Yotris-Tribocal, Forcal_{1,1,1,1,1,1,1,3}(1)
Ogdatri-hexi-pentateri-tetrapetithrinortrigolthra / tristo-yotti-ecti-teristo-peti-pesto-teri-tristo-thrinorgolthra / tris-yotti-ecti-tessi-peti-penri-teri-tris-thrinorgolthra, E100########100########100######100#####100#####100#####100####100####100####100####100###100###100##100##100##8
Decatri, {3,3,3,3,3,3,3,3,3,3}
Yotris-Tetribocal, Forcal_{1,1,1,1,1,1,1,4}(1)
Hayden's Dekatri, 3(3)(3)(3)(3)(3)(3)(3)(3)3
Iteral / superdecal, {10,10,10,10,10,10,10,10,10,10} = {10,10 (1) 2}
Octexom, $f_{ω^{8}} (10)$
Hyperdecal / hiteral, 10(10)(10)(10)(10)(10)(10)(10)(10)10
Entoogol, E100#########100
Nonoogol / Yottoogol (Username5243), {10,10,10,10,10,10,10,10,10,100} = 10[0,0,0,0,0,0,0,0,1]100
Nonwoogol, {10,10,10,10,10,10,10,10,10,1000}
Undecatri, {3,3,3,3,3,3,3,3,3,3,3}
Nonexom, $f_{ω^{9}} (10)$
Wun, {1111!!,11!!!,11!,11!!!!,11!!!,11111!,1,1,1,11!,11}
Dektoogol, E100##########100
Decoogol / Xennoogol, {10,10,10,10,10,10,10,10,10,10,100} = 10[0,0,0,0,0,0,0,0,0,1]100
Decwoogol, {10,10,10,10,10,10,10,10,10,10,1000}
Dodecatri, {3,3,3,3,3,3,3,3,3,3,3,3}
Dektadekientadekiogdadekiheptadekihexadekipentadekitetradekithrooogondekoldeka, E100##########100##########100##########100##########100##########100##########100##########100##########100##########100#########100#########100#########100#########100#########100#########100#########100#########100#########100########100########100########100########100########100########100########100########100########100#######100#######100#######100#######100#######100#######100#######100#######100#######100######100######100######100######100######100######100######100######100######100#####100#####100#####100#####100#####100#####100#####100#####100#####100####100####100####100####100####100####100####100####100####100###100###100###100###100###100###100###100###100###100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100
Dekexom / bitetrom, $f_{ω^{10}} (10)$
Superdozen, {12,12,12,12,12,12,12,12,12,12,12,12}
Endektoogol, E100#^#11
Wekoogol, 10[0,0,0,0,0,0,0,0,0,0,1]100
Pete.c numbers|pete-5.c, $\approx f_{ω^{11}}^{16} (999)$
Dekooandol, 10[&₁₀100]
Shiki no kazu|秋の数, 100![9, 10, 11]
Shiki no kazu|春の数, {3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5}
Superhexadecal, {16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
Icosolus, E100#^#20
Vigintoogol, {10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,100}
Pete.c numbers|pete-6.c, $\approx f_{ω^{23}} (9 \times 2^{9999})$
Ultatri, {3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3}
Hayden's Dupertri, 3(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)3
Linel, s(3,2,2{2}2)
Triantolus, E100#^#30
Trigintoogol, {10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,100}
Supernifty, {36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36}
Sarantolus, E100#^#40
Quadragintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (41 entries)
Penintolus, E100#^#50
Quinquagintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (51 entries)
Okojo numbers|Okojo-stoat number, $\approx f_{ω^{ω}} (53)$
Exintolus, E100#^#60
Sexagintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (61 entries)
Ebdomintolus, E100#^#70
Septuagintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (71 entries)
Lvapofr, 1^[(2)[1₀(76)
Ogdontolus, E100#^#80
Octogintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (81 entries)
Goobolspeck, {10,90 (1) 2}
Enenintolus, E100#^#90
Nonagintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (91 entries)
Goobolcrumb, {10,95 (1) 2}
Goobolchunk, {10,99 (1) 2}
Ternary-goobol, {4, 100 (1) 2}
Octal-goobol, {8, 100 (1) 2}
Hexadecimal-goobol, {16, 100 (1) 2}
Goobol, {10,100 (1) 2}
Hay-Goobol, 10(10)(10)(10) ... (10)(10)(10)10 (98 (10)'s)
Godgahlah / hectolus, E100#^#100
Linoogol, 10[0{1}1]100
Goobolbunch, {10,101 (1) 2}
Centoogol, {10,10,10,10,10,...,10,10,10,10,10,100} (101 entries)
Godsoogol, 10[&₁₀₀10]
Hektexom, $f_{ω^{100}} (10)$
Hyper-hyperon, 100{X^X}100
Titanicol / centrol, #{0:1}((10))*100
Angelah, E111#^#111
Goobolswarm, {10,110 (1) 2}
Yan Grrrls, E2023#^(180)(Qami Qami) = E2023#^(180)(E2021#224)
Ducentoogol, {10,10,10,10,10,...,10,10,10,10,10,100} (201 entries)
Hugedollaxul, $200 $ [0]$
Giatrixul, 200![200,200,200] ~ {10,203 (1) 2}
Kilogiatrixul, (200![200,200,200])![200,200,200]
Megagiatrixul, ((200![200,200,200])![200,200,200])![200,200,200]
Gigagiatrixul, (((200![200,200,200])![200,200,200])![200,200,200])![200,200,200]
Grand Giatrixul, 200(![200,200,200])^{200![200,200,200]+1}
Grand Kilogiatrixul, 200(![200,200,200])^{(200![200,200,200])![200,200,200]+1}
Grand Megagiatrixul, 200(![200,200,200])^{((200![200,200,200])![200,200,200])![200,200,200]+1}
Grand Gigagiatrixul, 200(![200,200,200])^{(((200![200,200,200])![200,200,200])![200,200,200])![200,200,200]+1}
Bigrand Giatrixul, 200(![200,200,200])^{200(![200,200,200])^{200![200,200,200]+1}+1}
Trigrand Giatrixul, 200(![200,200,200])^{200(![200,200,200])^{200(![200,200,200])^{200![200,200,200]+1}+1}+1}
The linearity, {10,10,10,10,10,...,10,10,10,10,10,100} (235 entries)
Ultratri, 3(3)(3)(3...(3)(3)(3)3 (333 (3)'s)
Goobolding, {10,500 (1) 2}
Nether Update, $f_{ω^{ω}} (576)$
Devilgahlah, E666#^#666
Goobolchime, {10,1000 (1) 2}
Chilliatolus, E100#^#1000
Milloogol, {10,10,10,10,10,...,10,10,10,10,10,100} (1,001 entries)
Godgahlahchime, E1000#^#1000
Kilexom, $f_{ω^{1000}} (10)$
Goobolbell, {10,5000 (1) 2}
Gooboltoll, {10,10000 (1) 2}
Myriatolus, E100#^#10000
Godgahlahtoll, E10000#^#10000
Ice spice what the dog doin skibbidy toilet in real life (only in ohio), $f_{ω^{69420}} (69420)$
Goobolgong, {10,100000 (1) 2}
Godgahlahgong, E100000#^#100000
Superis-Terribocal, Forcal_1[2]2(1)
Microogol, {10,10,10,10,10,...,10,10,10,10,10,100} (1,000,001 entries)
Megexom, $f_{ω^{1000000}} (10)$
Goobolbong, {10,100000000 (1) 2}
Gigexom, $f_{ω^{1 0^{9}}} (10)$
Goobolthrong, {10,10¹¹ (1) 2}
Terexom, $f_{ω^{1 0^{12}}} (10)$
Goobolgandingan, {10,10¹⁴ (1) 2}
Petexom, $f_{ω^{1 0^{15}}} (10)$
Exexom, $f_{ω^{1 0^{18}}} (10)$
Zettexom, $f_{ω^{1 0^{21}}} (10)$
Yottexom, $f_{ω^{1 0^{24}}} (10)$
Array reversed zootzoot, ${3, 4, 5, 6, 7, \dots \dots \dots, 1 0^{100} - 3, 1 0^{100} - 2, 1 0^{100} - 1, 1 0^{100}}$
Array zootzoot, ${1 0^{100}, 1 0^{100} - 1, 1 0^{100} - 2, 1 0^{100} - 3, \dots \dots \dots, 6, 5, 4, 3, 2}$
Goobo-googol, {10,googol(1)2}
Googahlah, E100#^#(10¹⁰⁰)
Googoloogol, {10,10,10,10,10,...,10,10,10,10,10,100} (10¹⁰⁰+1 entries)
Deckgoobol, {10,{10,10,2}(1)2}

Exponentiated linear omega level

Part 3.17: $f_{ω^{ω}} (f_{3} (10))$ ~ $f_{ω^{ω} + ω} (f_{3} (10))$

pete-7.c, $f_{ω^{ω}} (2 ↑ ↑ 36)$
Goobo-giggol, {10,{10,100,2}(1)2}
Dupertri, {3,3,2 (1) 2}
Duperdecal, {10,3,2 (1) 2}
Linelplex, s(3,3,2{2}2)
Hayden's Trupertri, 3(3)(3)(3) ... (3)(3)(3)3 (Hayden's Dupertri 3's)
Goobolplex, {10,{10,100 (1) 2} (1) 2}
Duperhect, {100,3,2(1)2}
Grand godgahlah, E100#^#100#2
Goobolplexigong, {10,{10,100000(1)2}(1)2}
Grand godgahlahgong, E100000#^#100000#2
Trupertri, {3,4,2(1)2}
Truperdecal, {10,4,2 (1) 2}
Goobolduplex, {10, {10, {10, 100 (1) 2} (1) 2} (1) 2}
Truperhect, {100,4,2(1)2}
Grand grand godgahlah / two-ex-grand godgahlah, E100#^#100#3
Goobolduplexigong, {10,{10,{10,{10,100000(1)2}(1)2}(1)2}(1)2}
Grand grand godgahlahgong, E100000#^#100000#3
Quadruperdecal, {10,5,2 (1) 2}
Gooboltriplex, {10, goobolduplex (1) 2}
Grand grand grand godgahlah / three-ex-grand godgahlah, E100#^#100#4
Quintuperdecal, {10,6,2 (1) 2}
Grand grand grand grand godgahlah / four-ex-grand godgahlah, E100#^#100#5
Goobolquintiplex, {10, goobolquadriplex (1) 2}
Gooboldeciplex, {10, goobolnoniplex (1) 2}
Goobolvigintiplex, {10, goobolnovemdeciplex (1) 2}
Gooboltrigintiplex, {10, goobolnovemvigintiplex (1) 2}
Goobolquinquagintiplex, {10, goobolnovemquadragintiplex (1) 2}
Gibbol, {10,100,2 (1) 2}
Lin-Googol, 10[1{1}1]100
Grandgahlah, E100#^#100#100
Titanicoltrex, #{0:1}* ((10))*100
Goobolcentiplex, {10, goobolnovemnonagintiplex (1) 2}
Hundred-ex-grand godgahlah, E100#^#100#101
Gibbolchime, {10,1000,2(1)2}
Goobolmilliplex, {10, goobolnovemnonagintinongentiplex (1) 2}
Eleven-thousand-eight-hundred-sixty-two-ex-grand godgahlahgong, E100000#^#100000#11863
Gibbolgong, {10,100000,2(1)2}
Grandgahlahgong, E100,000#^#100,000#100,000
Goobolmegaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,001 times)
Goobolgigaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,000,001 times)
Goobolteraplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,000,000,001 times)
Goobolpetaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10¹⁵ + 1 times)
Goobolexaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10¹⁸ + 1 times)
Goobolzettaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10²¹ + 1 times)
Goobolyottaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10²⁴ + 1 times)
Superis-Terribuporcal, Forcal_2[2]2(1)
Godgahlah-ex-grand godgahlah, E100#^#100#(1+E100#^#100)
Gooboldex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol times)
Gooboldexiplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol + 1 times)
Gooboldexiduplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol + 2 times)
Goobolplexidex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolplex times)
Goobolduplexidex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolduplex times)
Gibbolplex, {10,{10,100,2 (1) 2},2 (1) 2}
Grand grandgahlah, E100#^#100#100#2
Gooboldudex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (gooboldex times)
Grand grand grandgahlah, E100#^#100#100#3
Gooboltridex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (gooboldudex times)
Goobolquintidex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolquadridex times)
Latri, {3,3,3 (1) 2}
Lintrienel, s(3,3,3{2}2)
Gabbol, {10,100,3 (1) 2}
Lin-Doogol, 10[2{1}1]100
Greagahlah, E100#^#100#100#100
Gabbolgong, {10,100000,3(1)2}
Greagahlahgong, E100,000#^#100,000#100,000#100,000
Goobolthrex
Goobolthrexiplex
Goobolplexithrex
Gooboldexithrex
Gabbolplex, {10,{10,100,3 (1) 2},3 (1) 2}
Grand greagahlah, E100#^#100#100#100#2
Goobolduthrex
Gooboltrithrex
Superis-Terribmegocal, Forcal_3[2]2(1)
Lower latet, {4,4,4(1)2}
Geebol, {10,100,4 (1) 2}
Gigangahlah, E100#^#100#100#100#100
Geebolgong, {10,100000,4(1)2}
Grand gigangahlah, E100#^#100#100#100#100#2
Superis-Terribypercal, Forcal_4[2]2(1)
Gibol, {10,100,5 (1) 2}
Gorgegahlah, E100#^#100#100#100#100#100
Grand gorgegahlah, E100#^#100#100#100#100#100#2
Gobbol, {10,100,6 (1) 2}
Gulgahlah, E100#^#100#100#100#100#100#100
Grand gulgahlah, E100#^#100#100#100#100#100#100#2
Gabol, {10,100,7 (1) 2}
Gaspgahlah, E100#^#100##7
Gocbol, {10,100,8(1)2}
Ginorgahlah, E100#^#100##8
Genbol, {10,100,9(1)2}
Gargangahlah, E100#^#100##9
Tridecbol, {10,10,10(1)2}
Gexbol, {10,100,10(1)2}
Googongahlah, E100#^#100##10
Beggard antre khi, (0)(1)(2)(3)(1)(2)[15]
Boobol, {10,10,100 (1) 2}
Woobol, {10,100,100(1)2}
Gugoldgahlah, E100#^#100##100
Lin-Kiloogol, 10[0,1{1}1]100
Wibbol, {10,100,200(1)2}
Wabbol, {10,100,300(1)2}
Weebol, {10,100,400(1)2}
Wibol, {10,100,500(1)2}
Wobbol, {10,100,600(1)2}
Wabol, {10,100,700(1)2}
Bwoobol, {10,10,1000(1)2}
Boobolplex, {10,10,{10,10,100 (1) 2} (1) 2}
Grand gugoldgahlah, E100#^#100##100#2

Part 3.18: $f_{ω^{ω} + ω} (f_{3} (10))$ ~ $f_{ω^{ω} 2} (f_{3} (10))$

Corboral, {10,100,1,2(1)2}
Graatagoldgahlah, E100#^#100##100#100
Titanicolgoltrex, #{0:1}^* ((10))*100
Greegoldgahlah, E100#^#100##100#100#100
Grinningoldgahlah, E100#^#100##100#100#100#100
Golaagoldgahlah, E100#^#100##100#100#100#100#100
Gruelohgoldgahlah, E100#^#100##100##6
Gaspgoldgahlah, E100#^#100##100##7
Ginorgoldgahlah, E100#^#100##100##8
Gargantuuldgahlah, E100#^#100##100##9
Googondoldgahlah, E100#^#100##100##10
Gugolthragahlah, E100#^#100##100##100
Bibbol, {10,10,100,2 (1) 2}
Graatagolthragahlah, E100#^#100##100##100#100
Greegolthragahlah, E100#^#100##100##100#100#100
Lintetenel, s(3,3,3,3{2}2)
Grinningolthragahlah, E100#^#100##100##100#100#100#100
Golaagolthragahlah, E100#^#100##100##100##5
Gruelohgolthragahlah, E100#^#100##100##100##6
Gugolteslagahlah, E100#^#100##100##100##100
Babbol, {10,10,100,3 (1) 2}
Graatagolteslagahlah, E100#^#100##100##100##100#100
Greegolteslagahlah, E100#^#100##100##100#100##100#100
First row supertet / latet {4,4,4,4(1)2} = {4,4(1)3}
Gugolpetagahlah, E100#^#100###5
Beebol, {10,10,100,4 (1) 2}
Gugolhexagahlah, E100#^#100###6
Bibol, {10,10,100,5 (1) 2}
Gugolheptagahlah, E100#^#100###7
Bobbol, {10,10,100,6 (1) 2}
Gugoloctagahlah, E100#^#100###8
Babol, {10,10,100,7 (1) 2}
Gugolennagahlah, E100#^#100###9
Bocbol, {10,10,100,8(1)2}
Gugoldekagahlah, E100#^#100###10
Benbol, {10,10,100,9(1)2}
Generadual, {10,10,10,10(1)2}
Bexbol, {10,10,100,10(1)2}
Throogahlah / throogogahlah, E100#^#100###100
Troobol, {10,10,10,100 (1) 2}
Lin-Megoogol, 10[0,0,1{1}1]100
Titanic Astuul, #{0:1}{1}((10))*100
Trwoobol, {10,10,10,1000(1)2}
Grand throogahlah, E100#^#100###100#2
Troobolplex, {10,10,10,{10,10,10,100 (1) 2} (1) 2}
Thrangahlah, E100#^#100###100#100
Cormegotidual, {10,100,1,1,2(1)2}
Threagahlah, E100#^#100###100#100#100
Thrigangahlah, E100#^#100###100#100#100#100
Thrugoldgahlah, E100#^#100###100##100
Thraatagoldgahlah, E100#^#100###100##100#100
Thrugolthragahlah, E100#^#100###100##100##100
Thrugolteslagahlah, E100#^#100###100##100##100##100
Throotrigahlah, E100#^#100###100###100
Tribbol, {10,10,10,100,2 (1) 2}
Linpentenel, s(3,3,3,3,3{2}2)
Throotergahlah, E100#^#100###100###100###100
Trabbol, {10,10,10,100,3 (1) 2}
Throopetogahlah, E100#^#100###100###100###100###100
First row superpent / lapent, {5,5(1)3}
Throohexogahlah, E100#^#100####6
Throoheptogahlah, E100#^#100####7
Throogogdogahlah, E100#^#100####8
Throogentogahlah, E100#^#100####9
Trocbol, {10,10,10,100,8(1)2}
Throodekogahlah, E100#^#100####10
Trenbol, {10,10,10,100,9(1)2}
Pentadecadual / trexbol, {10,10,10,10,10(1)2}
Tetroogahlah / teroogahlah / teroogogahlah, E100#^#100####100
Quadroobol, {10,10,10,10,100 (1) 2}
Lin-Gigoogol, 10[0,0,0,1{1}1]100
Titanic Galaxiol, #{0:1}{2}((10))*100
Quadrwoobol, {10,10,10,10,1000(1)2}
Tetrangahlah, E100#^#100####100#100
Tetrugoldgahlah, E100#^#100####100##100
Tetrithroogahlah, E100#^#100####100###100
Tetrootrigahlah, E100#^#100####100####100
Quadribbol, {10,10,10,10,100,2 (1) 2}
Tetrootergahlah, E100#^#100####100####100####100
Quadrabbol, {10,10,10,10,100,3 (1) 2}
Tetroopetogahlah, E100#^#100####100####100####100####100
Tetroohexogahlah, E100#^#100#####6
Tetrooheptogahlah, E100#^#100#####7
Tetroogogdogahlah, E100#^#100#####8
Pentoogahlah / petoogahlah / petoogogahlah, E100#^#100#####100
Quintoobol, {10,10,10,10,10,100 (1) 2}
Titanic Cosmol, #{0:1}{3}((10))*100
Quintwoobol, {10,10,10,10,10,1000(1)2}
Pentootrigahlah, E100#^#100#####100#####100
Pentootergahlah, E100#^#100#####100#####100#####100
Pentoopetogahlah, E100#^#100#####100#####100#####100#####100
Hexoogahlah / ectoogahlah / ectoogogahlah, E100#^#100######100
Sextoobol, {10,10,10,10,10,10,100 (1) 2}
Titanic Hyperiol, #{0:1}{4}((10))*100
Sextwoobol, {10,10,10,10,10,10,1000(1)2}
Heptoogahlah / zettoogahlah / zettoogogahlah, E100#^#100#######100
Septoobol, {10,10,10,10,10,10,10,100 (1) 2}
Septwoobol, {10,10,10,10,10,10,10,1000(1)2}
Ogdoogahlah / yottoogahlah / yottoogogahlah, E100#^#100########100
Octoobol, {10,10,10,10,10,10,10,10,100 (1) 2}
Octwoobol, {10,10,10,10,10,10,10,10,1000(1)2}
Entoogahlah, E100#^#100#^#9
Nonwoobol, {10,10,10,10,10,10,10,10,10,1000(1)2}
Dektoogahlah, E100#^#100#^#10
Decoobol, {10,10,10,10,10,10,10,10,10,10,100(1)2}
Lvapofrbi, 1^[(3)[1₀(76)
Gootrol, {10,100 (1) 3}
Gotrigahlah, E100#^#100#^#100
Dulinoogol, 10[0{1}2]100
Gootrolplex, {10,{10,100 (1) 3} (1) 3}

Part 3.19: $f_{ω^{ω} 2} (f_{3} (10))$ ~ $f_{ω^{ω + 1}} (f_{3} (10))$

Dulinel, s(3,2,2{2}3)
Dulinelplex, s(3,3,2{2}3)
Gitrol, {10,100,2 (1) 3}
Dulin-Googol, 10[1{1}2]100
Grangotrigahlah / grantrigahlah, E100#^#100#^#100#100
Dulintrienel, s(3,3,3{2}3)
Gatrol, {10,100,3 (1) 3}
Greagotrigahlah / greatrigahlah, E100#^#100#^#100#100#100
Geetrol, {10,100,4 (1) 3}
Gigangotrigahlah / gigantrigahlah, E100#^#100#^#100#100#100#100
Gietrol, {10,100,5 (1) 3}
Gorgegotrigahlah / gorgetrigahlah, E100#^#100#^#100#100#100#100#100
Gotrol, {10,100,6 (1) 3}
Gulgotrigahlah / gultrigahlah, E100#^#100#^#100##6
Gaitrol, {10,100,7 (1) 3}
Gaspgotrigahlah / gasptrigahlah, E100#^#100#^#100##7
Goctrol, {10,100,8(1)3}
Ginorgotrigahlah, E100#^#100#^#100##8
Gentrol, {10,100,9(1)3}
Gargangotrigahlah, E100#^#100#^#100##9
Gextrol, {10,100,10(1)3}
Googongotrigahlah, E100#^#100#^#100##10
Bootrol, {10,10,100 (1) 3}
Wootrol, {10,100,100(1)3}
Gugoldgotrigahlah / gugoldtrigahlah, E100#^#100#^#100##100
Bwootrol, {10,10,1000(1)3}
Graatagoldgotrigahlah, E100#^#100#^#100##100#100
Greegoldgotrigahlah, E100#^#100#^#100##100#100#100
Grinningoldgotrigahlah, E100#^#100#^#100##100#100#100#100
Golaagoldgotrigahlah, E100#^#100#^#100##100#100#100#100#100
Gugolthragotrigahlah, E100#^#100#^#100##100##100
Bitrol, {10,10,100,2 (1) 3}
Dulintetenel, s(3,3,3,3{2}3)
Batrol, {10,10,100,3 (1) 3}
Beetrol, {10,10,100,4 (1) 3}
Throogotrigahlah / throotrigahlah, E100#^#100#^#100###100
Trootrol, {10,10,10,100 (1) 3}
Trwootrol, {10,10,10,1000(1)3}
Thrangotrigahlah, E100#^#100#^#100###100#100
Threagotrigahlah, E100#^#100#^#100###100#100#100
Thrugoldgotrigahlah, E100#^#100#^#100###100##100
Thrugolthragotrigahlah, E100#^#100#^#100###100##100##100
Throotrigotrigahlah, E100#^#100#^#100###100###100
Tritrol, {10,10,10,100,2 (1) 3}
Throotergotrigahlah, E100#^#100#^#100####4
Tritrol, {10,10,10,100,3 (1) 3}
Throopetotrigahlah, E100#^#100#^#100####5
Throohexotrigahlah, E100#^#100#^#100####6
Tetroogotrigahlah / terootrigahlah / teroogotrigahlah, E100#^#100#^#100####100
Quadrootrol, {10,10,10,10,100 (1) 3}
Tetrootrigotrigahlah, E100#^#100#^#100####100####100
Tetrootergotrigahlah, E100#^#100#^#100#####4
Tetroopetotrigahlah, E100#^#100#^#100#####5
Pentoogotrigahlah / petootrigahlah / petoogotrigahlah, E100#^#100#^#100#####100
Quintootrol, {10,10,10,10,10,100 (1) 3}
Pentootrigotrigahlah, E100#^#100#^#100######3
Hexoogotrigahlah / ectootrigahlah / ectoogotrigahlah, E100#^#100#^#100######100
Heptoogotrigahlah / zettootrigahlah / zettoogotrigahlah, E100#^#100#^#100#######100
Ogdoogotrigahlah / yottootrigahlah / yottoogotrigahlah, E100#^#100#^#100########100
Entoogotrigahlah / ronnootrigahlah / ronnogotrigahlah,, E100#^#100#^#100#^#9
Dektoogotrigahlah / quettootrigahlah / quettoogotrigahlah,, E100#^#100#^#100#^#10
Lvapofrtri, 1^[(4)[1₀(76)
Gooquadrol, {10,100 (1) 4}
Gotergahlah, E100#^#100#^#100#^#100
Trulinoogol, 10[0{1}3]100
Giquadrol, {10,100,2 (1) 4}
Grangotergahlah, E100#^#100#^#100#^#100#100
Gaquadrol, {10,100,3 (1) 4}
Greagotergahlah, E100#^#100#^#100#^#100#100#100
Gigangotergahlah, E100#^#100#^#100#^#100#100#100#100
Booquadrol, {10,10,100 (1) 4}
Gugoldgotergahlah, E100#^#100#^#100#^#100##100
Gugolthragotergahlah, E100#^#100#^#100#^#100##100##100
Lé Tritri au lait, 3(1, 3)3 / 3 / 3
Gugolteslagotergahlah, E100#^#100#^#100#^#100##100##100##100
Throogotergahlah, E100#^#100#^#100#^#100###100
Tetroogotergahlah, E100#^#100#^#100#^#100####100
Quadreequadrol, {10,10,10,10,100,4 (1) 4}
Lvapofrtet, 1^[(5)[1₀(76)
Gooquintol, {10,100 (1) 5}
Goppegahlah, E100#^#100#^#100#^#100#^#100
Goosextol, {10,100 (1) 6}
Gohexgahlah / gohexahlah, E100#^#* #6
Gooseptol, {10,100 (1) 7}
Gohepgahlah, E100#^#* #7
Goo-octol, {10,100(1)8}
Go-ahtgahlah, E100#^#* #8
Goo-nonol, {10,100(1)9}
Go-enngahlah, E100#^#* #9
Emperal, {10,10 (1) 10}
Godekahlah, E100#^#* #10
Kahen, 1^{[ ] [1]}₀(76)
Gossol, {10,10 (1) 100}
Godgoldgahlah / gohectgahlah / godgoldahlah, E100#^#* #100
Kilulinoogol, 10[0{1}0,1]100
Titaniprimol, #{1:1}((10))*100
Gwossol, {10,10(1)1000}
Godgoldgahlahgong, E100,000#^#* #100,000

Part 3.20: $f_{ω^{ω + 1}} (f_{3} (10))$ ~ $f_{ω^{ω + 2}} (f_{3} (10))$

Emperalplex, {10,10 (1) {10,10 (1) 10}}
Gossolplex, {10,10 (1) {10,10 (1) 100}}
Grand godgoldgahlah, E100#^#* #100#2
Kilulin-Googol, 10[1{1}0,1]100
Grangol-carta-godgoldgahlah, E100#^#* #100#100
Greagol-carta-godgoldgahlah, E100#^#* #100#100#100
Gigangol-carta-godgoldgahlah, E100#^#* #100#100#100#100
Gugold-carta-godgoldgahlah, E100#^#* #100##100
Graatagold-carta-godgoldgahlah, E100#^#* #100##100#100
Gugolthra-carta-godgoldgahlah, E100#^#* #100##100##100
Throogol-carta-godgoldgahlah, E100#^#* #100###100
Tetroogol-carta-godgoldgahlah, E100#^#* #100####100
Pentoogol-carta-godgoldgahlah, E100#^#* #100#####100
Hexoogol-carta-godgoldgahlah, E100#^#* #100######100
Kilulin-Linoogol, 10[0{1}1,1]100
Godgahlah-carta-godgoldgahlah, E100#^#* #100#^#100
Grandgahlah-carta-godgoldgahlah, E100#^#* #100#^#100#100
Greagahlah-carta-godgoldgahlah, E100#^#* #100#^#100#100#100
Gugoldgahlah-carta-godgoldgahlah, E100#^#* #100#^#100##100
Throogahlah-carta-godgoldgahlah, E100#^#* #100#^#100###100
Tetroogahlah-carta-godgoldgahlah, E100#^#* #100#^#100####100
Kilulin-Dulinoogol, 10[0{1}2,1]100
Gotrigahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100
Grangotrigahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100#100
Gugoldgotrigahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100##100
Throogotrigahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100###100
Gotergahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100#^#100
Goppegahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100#^#100#^#100
Gohexgahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100#^#100#^#100#^#100
Grand emperal, {10,10 (1) 10,2}
Gissol, {10,10 (1) 100,2}
Dukilulinoogol, 10[0{1}0,2]100
Gotrigoldgahlah / gotrigoldahlah, E100#^#* ##3
Gwissol, {10,10(1)1000,2}
Gissolplex, {10,10 (1) {10,10 (1) 100,2},2}
Grangol-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#100
Gugold-carta-gotrigoldgahlah, E100#^#* #100#^#* #100##100
Throogol-carta-gotrigoldgahlah, E100#^#* #100#^#* #100###100
Godgahlah-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#^#100
Gotrigahlah-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#^#100#^#100
Gotergahlah-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#^#100#^#100#^#100
Goppegahlah-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#^#100#^#100#^#100#^#100
Dienlinel, s(3,2,2{2}3,3)
Dienlintrienel, s(3,3,3{2}3,3)
Gassol, {10,10 (1) 100,3}
Gotergoldgahlah / gotergoldahlah, E100#^#* ##4
Gassolplex, {10,10 (1) {10,10 (1) 100,3},3}
Gwassol, {10,10(1)1000,3}
Grangol-carta-gotergoldgahlah, E100#^#* #100#^#* #100#^#* #100#100
Gugold-carta-gotergoldgahlah, E100#^#* #100#^#* #100#^#* #100##100
Throogol-carta-gotergoldgahlah, E100#^#* #100#^#* #100#^#* #100###100
Godgahlah-carta-gotergoldgahlah, E100#^#* #100#^#* #100#^#* #100#^#100
Geesol, {10,10 (1) 100,4}
Goppegoldgahlah / goppegoldahlah, E100#^#* ##5
Geesolplex, {10,10 (1) {10,10 (1) 100,4},4}
Gussol, {10,10 (1) 100,5}
Gohexgoldgahlah / gohexgoldahlah, E100#^#* ##6
Gohepgoldgahlah / gohepgoldahlah, E100#^#* ##7
Gasol, {10,10(1)100,7}
Go-ahtgoldgahlah / go-ahtgoldahlah, E100#^#* ##8
Go-enngoldgahlah / go-enngoldahlah, E100#^#* ##9
Godekagoldgahlah / godekagoldahlah, E100#^#* ##10
Hyperal, {10,10 (1) 10,10}
Fish number 3, $\approx f_{(ω^{ω + 1}) 63 + 1} (63)$
Godthroogahlah / godthroldahlah, E100#^#* ##100
Mossol, {10,10 (1) 10,100}
Megulinoogol, 10[0{1}0,0,1]100
Mwossol, {10,10(1)10,1000}
Mossolgong, {10,10(1)10,100000}

Part 3.21: $f_{ω^{ω + 2}} (f_{3} (10))$ ~ $f_{ω^{ω 2}} (f_{3} (10))$

Hyperalplex, {10,10 (1) 10,{10,10 (1) 10,10}}
Mossolplex, {10,10 (1) 10,{10,10 (1) 10,100}}
Megulin-Kilulinoogol, 10[0{1}0,1,1]100
Grangol-carta-godthroogahlah, E100#^#* ##100#100
Greagol-carta-godthroogahlah, E100#^#* ##100#100#100
Gugold-carta-godthroogahlah, E100#^#* ##100##100
Throogol-carta-godthroogahlah, E100#^#* ##100###100
Godgahlah-carta-godthroogahlah, E100#^#* ##100#^#100
Gotrigahlah-carta-godthroogahlah, E100#^#* ##100#^#100#^#100
Gotergahlah-carta-godthroogahlah, E100#^#* ##100#^#100#^#100#^#100
Godgoldgahlah-carta-godthroogahlah, E100#^#* ##100#^#* #100
Gotrigoldgahlah-carta-godthroogahlah, E100#^#* ##100#^#* #100#^#* #100
Gotergoldgahlah-carta-godthroogahlah, E100#^#* ##100#^#* #100#^#* #100#^#* #100
Gotrithroogahlah, E100#^#* ##100#^#* ##100
Missol, {10,10 (1) 10,100,2}
Dumegulinoogol, 10[0{1}0,0,2]100
Mwissol, {10,10(1)10,1000,2}
Trienlinel, s(3,2,2{2}3,3,3)
Goterthroogahlah, E100#^#* ##100#^#* ##100#^#* ##100
Massol, {10,10 (1) 10,100,3}
Mwassol, {10,10(1)10,1000,3}
Deux tritri, {3,3,3(1)3,3,3}
Goppethroogahlah, E100#^#* ##100#^#* ##100#^#* ##100#^#* ##100
Meesol, {10,10 (1) 10,100,4}
Gohexthroogahlah, E100#^#* ##100#^#* ##100#^#* ##100#^#* ##100#^#* ##100
Mussol, {10,10 (1) 10,100,5}
Gohepthroogahlah, E100#^#* ###7
Moosol, {10,10(1)10,100,6}
Go-ahthroogahlah, E100#^#* ###8
Masol, {10,10(1)10,100,7}
Go-ennthroogahlah, E100#^#* ###9
Godekathroogahlah, E100#^#* ###10
Trideca-hyperal, {10,10(1)10,10,10}
Godtetroogahlah / godteroogahlah / godteroldahlah, E100#^#* ###100
Bossol, {10,10 (1) 10,10,100}
Gigulinoogol, 10[0{1}0,0,0,1]100
Titanitrol, #{3:1}((10))*100
Bwossol, {10,10(1)10,10,1000}
Bossolplex, {10,10 (1) 10,10,{10,10 (1) 10,10,100}}
Grangol-carta-godtetroogahlah, E100#^#* ###100#100
Gugold-carta-godtetroogahlah, E100#^#* ###100##100
Godgahlah-carta-godtetroogahlah, E100#^#* ###100#^#100
Godgoldgahlah-carta-godtetroogahlah, E100#^#* ###100#^#* #100
Godthroogahlah-carta-godtetroogahlah, E100#^#* ###100#^#* ##100
Gotritetroogahlah, E100#^#* ###100#^#* ###100
Bissol, {10,10 (1) 10,10,100,2}
Tetenlinel, s(3,2,2{2}3,3,3,3)
Gotertetroogahlah, E100#^#* ###100#^#* ###100#^#* ###100
Bassol, {10,10 (1) 10,10,100,3}
Gopentetroogahlah|Goppetetroogahlah, E100#^#* ####5
Beesol, {10,10 (1) 10,10,100,4}
Deux supertet, {4,4,4,4(1)4,4,4,4}
Gohextetroogahlah, E100#^#* ####6
Deux superpent, {5,5,5,5,5(1)5,5,5,5,5}
Bussol, {10,10 (1) 10,10,100,5}
Goheptetroogahlah, E100#^#* ####7
Go-ahtetroogahlah, E100#^#* ####8
Go-enntetroogahlah, E100#^#* ####9
Godekatetroogahlah, E100#^#* ####10
Godpentoogahlah / godpetoogahlah / godpetoldahlah, E100#^#* ####100
Trossol, {10,10 (1) 10,10,10,100}
Terulinoogol, 10[0{1}0,0,0,0,1]100
Titaniterol, #{4:1}((10))*100
Trwossol, {10,10(1)10,10,10,1000}
Trossolplex, {10,10 (1) 10,10,10,{10,10 (1) 10,10,10,100}}
Grangol-carta-godpentoogahlah, E100#^#* ####100#100
Godgahlah-carta-godpentoogahlah, E100#^#* ####100#^#100
Godgoldgahlah-carta-godpentoogahlah, E100#^#* ####100#^#* #100
Godthroogahlah-carta-godpentoogahlah, E100#^#* ####100#^#* ##100
Godtetroogahlah-carta-godpentoogahlah, E100#^#* ####100#^#* ###100
Gotripentoogahlah, E100#^#* ####100#^#* ####100
Trissol, {10,10 (1) 10,10,10,100,2}
Pentenlinel, s(3,2,2{2}3,3,3,3,3)
Trassol, {10,10 (1) 10,10,10,100,3}
Treesol, {10,10 (1) 10,10,10,100,4}
Trussol, {10,10 (1) 10,10,10,100,5}
Godhexoogahlah / go-ectoogahlah / go-ectolgahlah, E100#^#* #####100
Quadrossol, {10,10 (1) 10,10,10,10,100}
Petulinoogol, 10[0{1}0,0,0,0,0,1]100
Quadrissol, {10,10 (1) 10,10,10,10,100,2}
Quadrassol, {10,10 (1) 10,10,10,10,100,3}
Quadreesol, {10,10 (1) 10,10,10,10,100,4}
Quadrussol, {10,10 (1) 10,10,10,10,100,5}
Deux superhex, {6,6,6,6,6,6(1)6,6,6,6,6,6}
Godheptoogahlah / godzettoogahlah / godzettolgahlah, E100#^#* ######100
Quintossol, {10,10 (1) 10,10,10,10,10,100}
Ectulinoogol, 10[0{1}0,0,0,0,0,0,1]100
Quintissol, {10,10 (1) 10,10,10,10,10,100,2}
Quintassol, {10,10 (1) 10,10,10,10,10,100,3}
Quinteesol, {10,10 (1) 10,10,10,10,10,100,4}
Quintussol, {10,10 (1) 10,10,10,10,10,100,5}
Deux superhept, {7,7,7,7,7,7,7(1)7,7,7,7,7,7,7}
Godogdoogahlah / godyottoogahlah / godyottolgahlah, E100#^#* #######100
Sextossol, {10,10 (1) 10,10,10,10,10,10,100}
Zettulinoogol, 10[0{1}0,0,0,0,0,0,0,1]100
Deux superogd, {8,8,8,8,8,8,8,8(1)8,8,8,8,8,8,8,8}
Godentoogahlah, E100#^#* ########100
Septossol, {10,10 (1) 10,10,10,10,10,10,10,100}
Yottulinoogol, 10[0{1}0,0,0,0,0,0,0,0,1]100
Deux superenn, {9,9,9,9,9,9,9,9,9(1)9,9,9,9,9,9,9,9,9}
Octossol, {10,10(1)10,10,10,10,10,10,10,10,100}
Goddektoogahlah, E100#^#* #########100
Xennulinoogol, 10[0{1}0,0,0,0,0,0,0,0,0,1]100
Diteral, {10,10 (1)(1) 2}
Wekulinoogol, 10[0{1}0,0,0,0,0,0,0,0,0,0,1]100
Dozenal-diteral, {12,12(1)(1)2}
Hexadecimal-diteral, {16,16(1)(1)2}
Niftimal-diteral, {36,36(1)2}
Never gonna give you up, {69, 69 [2] 1 [2] 2}
Dubol, {10,100 (1)(1) 2}
Deutero-godgahlah, E100#^#* #^#100
Gratuitous Golden Googol (DeepLineMadom), {16777216,100 (1)(1) 2}
Behemicol, #{0:2}((10))*100
Dubolgong, {10,100000(1)(1)2}
Deutero-godgahlahgong, E100,000#^#* #^#100,000

Part 3.22: $f_{ω^{ω 2}} (f_{3} (10))$ ~ $f_{ω^{ω 3}} (f_{3} (10))$

Linbel, s(3,2,2{2}1{2}2)
Diteralplex, {10,3,2 (1)(1) 2}
Grand deutero-godgahlah, E100#^#* #^#100#2
Grangol-carta-deutero-godgahlah, E100#^#* #^#100#100
Lintrienbel, s(3,3,3{2}1{2}2)
Greagol-carta-deutero-godgahlah, E100#^#* #^#100#100#100
Gugold-carta-deutero-godgahlah, E100#^#* #^#100##100
Throogol-carta-deutero-godgahlah, E100#^#* #^#100###100
Linblinel, s(3,2,2{2}2{2}2)
Godgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100
Grandgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100#100
Linbdulinel, s(3,2,2{2}3{2}2)
Gugoldgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100##100
Gotrigahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100#^#100
Gotergahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100#^#100#^#100
Goppegahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* #5
Godgoldgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* #100
Gotrigoldgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* #100#^#* #100
Linbdienlinel, s(3,2,2{2}3,3{2}2)
Gotergoldgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* #100#^#* #100#^#* #100
Godthroogahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* ##100
Godtetroogahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* ###100
Godpentoogahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* ####100
Dutrol, {10,100 (1)(1) 3}
Deutero-gotrigahlah, E100#^#* #^#100#^#* #^#100
Dutrolplex, {10,{10,100(1)(1)3}(1)(1)3}
Dulinbel, s(3,2,2{2}1{2}3)
Duquadrol, {10,100 (1)(1) 4}
Deutero-gotergahlah, E100#^#* #^#100#^#* #^#100#^#* #^#100
Duquintol, {10,100 (1)(1) 5}
Deutero-goppegahlah, E100#^#* #^#100#^#* #^#100#^#* #^#100#^#* #^#100
Deutero-gohexgahlah, E100#^#* #^#* #6
Deutero-gohepgahlah, E100#^#* #^#* #7
Deutero-go-ahtgahlah, E100#^#* #^#* #8
Deutero-go-enngahlah, E100#^#* #^#* #9
Admiral, {10,10 (1)(1) 10}
Deutero-godekahlah, E100#^#* #^#* #10
Dossol, {10,10 (1)(1) 100}
Deutero-godgoldgahlah / deutero-godgoldahlah, E100#^#* #^#* #100
Dwossol, {10,10(1)(1)1000}
Dossolplex, {10,10 (1)(1) {10,10 (1)(1) 100}}
Grand deutero-godgoldgahlah, E100#^#* #^#* #100#2
Grangol-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#100
Gugold-carta-deutero-godgoldgahlah, E100#^#* #^#* #100##100
Godgahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#100
Gotrigahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#100#^#100
Godgoldgahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* #100
Godthroogahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* ##100
Cyperal, {65,googolplex(1)1000,googol(1)7* quadragintaquingentillion,42}
Deutero-godgahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* #^#100
Dienlinbel, s(3,2,2{2}1{2}3,3)
Deutero-gotrigahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* #^#100#^#* #^#100
Deutero-gotergahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* #^#100#^#* #^#100#^#* #^#100
Deutero-gotrigoldgahlah, E100#^#* #^#* #100#^#* #^#* #100
Deutero-gotergoldgahlah, E100#^#* #^#* #100#^#* #^#* #100#^#* #^#* #100
Deutero-goppegoldgahlah, E100#^#* #^#* ##5
Deutero-gohexgoldgahlah, E100#^#* #^#* ##6
Deutero-gohepgoldgahlah, E100#^#* #^#* ##7
Deutero-go-ahtgoldgahlah, E100#^#* #^#* ##8
Deutero-go-enngoldgahlah, E100#^#* #^#* ##9
Deutero-godekagoldgahlah, E100#^#* #^#* ##10
Deutero-godthroogahlah / deutero-godthrolgahlah, E100#^#* #^#* ##100
Modossol, {10,10(1)(1)10,100}
Modwossol, {10,10(1)(1)10,1000}
Deutero-gotrithroogahlah, E100#^#* #^#* ##100#^#* #^#* ##100
Trienlinbel, s(3,2,2{2}1{2}3,3,3)
Dimensol, s(3,3{1,2}2)
Dutritri, {3,3,3 (1) 3,3,3 (1) 3,3,3}
Deutero-goterthroogahlah, E100#^#* #^#* ##100#^#* #^#* ##100#^#* #^#* ##100
Deutero-gopethroogahlah|Deutero-goppethroogahlah, E100#^#* #^#* ###5
Deutero-gohexthroogahlah, E100#^#* #^#* ###6
Dutridecal, {10,10,10 (1) 10,10,10 (1) 10,10,10}
Hayden's Dutritri, 3(2, 3)3
Deutero-godtetroogahlah / deutero-godteroogahlah / deutero-godterolgahlah, E100#^#* #^#* ###100
Bodossol, {10,10(1)(1)10,10,100}
Lower dusupertet, {4,4,4,4(1)4,4,4,4(1)4,4,4,4}
Deutero-godpentoogahlah / deutero-godpetoogahlah / deutero-godpetolgahlah, E100#^#* #^#* ####100
Deutero-godhexoogahlah / deutero-go-ectoogahlah / deutero-go-ectolgahlah, E100#^#* #^#* #####100
Deutero-godheptoogahlah / deutero-godzettoogahlah / deutero-gozettolgahlah, E100#^#* #^#* ######100
Deutero-godogdoogahlah / deutero-godyottoogahlah / deutero-goyottolgahlah, E100#^#* #^#* #######100
Triteral, {10,10(1)(1)(1)2}
Triubol, {10,100(1)(1)(1)2}
Dutetradecal, {10,4(2)2}
Trito-godgahlah, E100#^#* #^#* #^#100
Leviathol, #{0:3}((10))*100

Part 3.23: $f_{ω^{ω 3}} (f_{3} (10))$ ~ $f_{ω^{ω^{2}}} (f_{3} (10))$

Lintrel, s(3,2,2{2}1{2}1{2}2)
Trito-gotrigahlah, E100#^#* #^#* #^#100#^#* #^#* #^#100
Trito-gotergahlah, E100#^#* #^#* #^#* #4
Trito-goppegahlah, E100#^#* #^#* #^#* #5
Trito-godgoldgahlah, E100#^#* #^#* #^#* #100
Trito-gotrigoldgahlah, E100#^#* #^#* #^#* ##3
Trito-godthroogahlah, E100#^#* #^#* #^#* ##100
Trito-godtetroogahlah, E100#^#* #^#* #^#* ###100
Trito-godpentoogahlah, E100#^#* #^#* #^#* ####100
Quadriteral, {10,10(1)(1)(1)(1)2}
Tetrubol, {10,100 (1)(1)(1)(1) 2}
Teterto-godgahlah, E100#^#* #^#* #^#* #^#100
Lintetel, s(3,2,2{2}1{2}1{2}1{2}2)
Dupentadecal, {10,5(2)2}
Quintiteral, {10,10(1)(1)(1)(1)(1)2}
Pepto-godgahlah, E100#^##5
Linpenel, s(3,2,2{2}1{2}1{2}1{2}1{2}2)
Exto-godgahlah, E100#^##6
Linhexel, s(3,2,2{2}1{2}1{2}1{2}1{2}1{2}2)
Duhexadecal, {10,6(2)2}
Epto-godgahlah, E100#^##7
Duheptadecal, {10,7(2)2}
Ogdo-godgahlah, E100#^##8
Duoctadecal, {10,8(2)2}
Ento-godgahlah, E100#^##9
Duennadecal, {10,9(2)2}
Xappol, {10,10 (2) 2}
Dekato-godgahlah, E100#^##10
Isosto-godgahlah, E100#^##20
Planel, s(3,2,2{3}2)
Trianto-godgahlah, E100#^##30
Saranto-godgahlah, E100#^##40
Goxxol, {10,100 (2) 2}
Triabiogodgahlah, E100+_##100
Gridgahlah, E100#^##100
Hyper-grid-hyperon, 100{X^X²}100
Empiriol, #{0:0:1}((10))*100
Hugebollaxul, 200$[1]

【更小 | 主页 | 更大】

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 【[[Googolism - Part 2|更小]] | [[Googolism|主页]] | [[Googolism - Part 4|更大]]】
+== Linear omega level ==
+=== Part 3.1: <math>f_{\omega}(f_3(10))</math> ~ <math>f_{\omega+1}(f_3(10))</math> ===
+* <nowiki>Giggotri, {10, 10, {10, 100, 2}}</nowiki>
+* Great grangol / Grangolsuplex, E100##2#2
+* Grangolsuplexigong, E100,000##2#2
+* Googoldexisuplex, E100##(E100#1#2)
+* Googolplexidexisuplex, E100##(E100#2#2)
+* Grangoldexisuplex, E100##(E100#100#2)
+* Grangoldudexisuplex, E100##(E100#100#3)
+* '''Moser''', 2[2[5, 2]] in a mega-gon
+* Joyce's tetratri, g(2,1,1,4,3,3)
+* Tritriplex, {3,3,1,2}
+* Grand Moser, 3[3[5, 3]] in a Grand Mega-gon
+* Great Moser, 4[4[5, 4]] in a Great Mega-gon
+* Gong Moser, 5[5[5, 5]] in a Gong Mega-gon
+* <nowiki>Gaggotri, {10, 10, {10, 100, 3}}</nowiki>
+* Mosiston, 10 in a megiston-gon
+* Great greagol / Greagolsuplex, E100##3#2
+* Graham grahal / grabio, <math>g_2 = 3 \underbrace{\uparrow\uparrow\ldots\uparrow\uparrow}_{3 \uparrow\uparrow\uparrow\uparrow 3} 3</math>
+* Greagolthrexisuplex, E100##(E100#100#100#2)
+* Tritetplex, {4, 3, 1, 2}
+* Zertrearmix, [0]↤[0]↤[3]
+* <nowiki>Geegotri, {10, 10, {10, 100, 4}}</nowiki>
+* Great gigangol / Gigangolsuplex, E100##4#2
+* Tripentplex, {5, 3, 1, 2}
+* <nowiki>Gigotri, {10, 10, {10, 100, 5}}</nowiki>
+* Great gorgegol / Gorgegolsuplex, E100##5#2
+* Trihexplex, {6, 3, 1, 2}
+* <nowiki>Goggotri, {10, 10, {10, 100, 6}}</nowiki>
+* Great gulgol / Gulgolsuplex, E100##6#2
+* Triheptplex, {7, 3, 1, 2}
+* <nowiki>Gagotri, {10, 10, {10, 100, 7}}</nowiki>
+* Great gaspgol / Gaspgolsuplex, E100##7#2
+* Trioctplex, {8, 3, 1, 2}
+* Great ginorgol / Ginorgolsuplex, E100##8#2
+* Triennplex, {9, 3, 1, 2}
+* Great gargantuul / Gargantuulsuplex, E100##9#2
+* Tridecalplex, {10,10,tridecal}
+* Great googondol / Googondolsuplex, E100##10#2
+* Little Graham grahal, [2,3,12,2] = F<sup>2</sup>(12)
+* Grand Hyperhypillion, H*<sub>2</sub>(10,2)
+* Primitolplex, s(3,3,2,2)
+* Magthree, A(A(61,61),A(61,61))
+* Double Centifact, 100**
+* <nowiki>Boogolplex, {10,10,{10,10,100}}</nowiki>
+* <nowiki>Gamminol, {12,100,{10,10,100}}</nowiki>
+* TriGraham, g<sub>3</sub> = 3{3{3↑↑↑↑3}3}3
+* Tris-hyperon, 100{X}100{X}100
+* Gugolda-suplex / goolda-suplex, E100##100#2 = E100##gugold
+* Kilohyperfaxul, (200![1])![1] ~ {10,198,hyperfaxul}
+* Meser, 2[256[258]+2] = M(2,M(256,256))
+* Charged Hayden, 999[999[999
+* Gugolda-suplexichime, E1,000##1,000#2
+* Myriodufact, 10,000**
+* Gugolda-suplexitoll, E10,000##10,000#2
+* Gugolda-suplexigong / goolda-suplexigong, E100,000##100,000#2
+* Gongolplex, hyper(10,gongol,100)
+* Joyce's pentatri, g(3,1,1,4,3,3)
+* Googoldusuplex, E100##1#3
+* Googoldusuplexigong, E100,000##1#3
+* Googolplexidusuplex, E100##(E100#2)#2
+* Googolduplexidusuplex, E100##(E100#3)#2
+* Grangoldusuplex, E100##2#3
+* Tritriplexian, {3,4,1,2}
+* Grangoldexidusuplex, E100##(E100#100#2)#2
+* Greagoldusuplex, E100##3#3
+* Tritetduplex, {4, 4, 1, 2}
+* Gigangoldusuplex, E100##4#3
+* Gorgegoldusuplex, E100##5#3
+* Bigrand Hyperhypillion, H*<sub>2</sub>(10,3)
+* Joycian grand tridecal, g(3,1,1,11,10,10)
+* Tridecalduplex, {10, 4, 1, 2}
+* Googondoldusuplex, E100##10#3
+* TriLittleGraham, [2,3,12,3] = F<sub>3</sub>(12)
+* Primitolbiplex, s(3,4,2,2)
+* Triple Centifact, 100***
+* <nowiki>Boogolduplex, {10,10,{10,10,{10,10,100}}}</nowiki>
+* Ter-hyperon, 100{X+1}4
+* Gugolda-dusuplex / goolda-dusuplex, E100##100#3
+* Megahyperfaxul, ((200![1])![1])![1] ~ {10,198,kilohyperfaxul}
+* Muser, 2[2[256[258]+2]+2] = M(2,M(2,M(256,256)))
+* Gugolda-dusuplexichime, E1,000##1,000#3
+* Myriotrefact, 10,000***
+* Gugolda-dusuplexitoll, E10,000##10,000#3
+* Gugolda-dusuplexigong / goolda-dusuplexigong, E100,000##100,000#3
+* Googoltrisuplex, E100##1#4
+* Grangoltrisuplex, E100##2#4
+* Mevenillion, 10<sup>3[3,3,3]*3+3</sup>
+* ThaAwesome's Tetratri, 3[3,3]3
+* Greagoltrisuplex, E100##3#4
+* Golden grahal, g<sub>4</sub> = 3{3{3{3↑↑↑↑3}3}3}3
+* Primitoltriplex, s(3,5,2,2)
+* ThaAwesome's Tetratet, 4[4,4]4
+* Golden crahal, [4,4,4,4] = gc(3)
+* Tridecaltriplex, {10, 5, 1, 2}
+* Little golden grahal, [2,3,12,4] = F<sup>4</sup>(12)
+* Quadruple Centifact, 100****
+* <nowiki>Boogoltriplex, {10,10,{10,10,{10,10,{10,10,100}}}}</nowiki>
+* Gugolda-trisuplex, E100##100#4
+* Juice infused Moser|Juice-infused Moser, 17[592[186[44[416
+* Pen-hyperon, 100{X+1}5
+* Gigahyperfaxul, (((200![1])![1])![1])![1] ~ {10,198,megahyperfaxul}
+* Myrioterfact, 10,000****
+* Primitolquadriplex, s(3,6,2,2)
+* Gugolda-quadrisuplex, E100##100#5
+* Quintuple Centifact, <math>100^* _5</math>
+* Ex-hyperon, 100{X+1}6
+* Terahyperfaxul, ((((200![1])![1])![1])![1])![1] ~ {10,198,gigahyperfaxul}
+* Dihexar, <math>Q_{1,1}(6)</math>
+* Epi-hyperon, 100{X+1}7
+* Gugolda-quintisuplex, E100##100#6
+* Petahyperfaxul, (((((200![1])![1])![1])![1])![1])![1] ~ {10,198,terahyperfaxul}
+* '''Little Graham''' / Graham-Rothschild Number, F<sup>7</sup>(12), where F(n) = 2↑<sup>n</sup>3
+* Gugolda-sextisuplex, E100##100#7
+* Exahyperfaxul, ((((((200![1])![1])![1])![1])![1])![1])![1] ~ {10,198,petahyperfaxul}
+* Gugolda-septisuplex, E100##100#8
+* Dialogue-corporal, {10, 10, 1, 2}
+* Uniance, 10[&1]
+* Gugolda-octisuplex, E100##100#9
+* Great grahal, [3,3,4,10] = G<sub>10</sub>
+* Unaddom, <math>f_{\omega+1}(10)</math>
+* One mow my, <math>g_{\Gamma_0}(10)</math>
+* Great Hyperhypillion / Hypergrand Hyperhypillion, H* <sub>2</sub>(10,10)
+* Gugolda-nonisuplex, E100##100#10
+* Decuple Centifact, <math>100^* _{10}</math>
+* Gugolda-decisuplex, E100##100#11
+* Small fry-corporal, {10, 15, 1, 2}
+* Quarter Graham, [3,3,4,16] = G<sub>16</sub>
+* Great Exi-hyperhypillion, H* <sub>2</sub>(16,16)
+* Guppy-corporal, {10, 20, 1, 2}
+* Quinary-corporal, {5, 25, 1, 2}
+* Joycian dimentri, g(27,1,1,4,3,3)
+* Primibol, s(3,2,3,2)
+* Half Graham, [3,3,4,32] = G<sub>32</sub>
+* Mini-corporal, {10, 50, 1, 2}
+* Octal-corporal, {8, 64, 1, 2}
+* '''Graham's number''', G = g<sub>64</sub>
+* Vsauce's Number, <math>g_{64}\times10^{10^{100}}!^{10^{10^{2\times10^{100}+100}}}</math>
+* Bisuperiorgraham, G↑G
+* Quadrisuperiorgraham, G↑↑5
+* Graham-Conway number, {4,65,1,2}
+* Prawn-corporal, {10, 65, 1, 2}
+* Graham Jr., [2,3,12,64] = F<sup>64</sup>(12)
+* Gugolda-tresexagintisuplex, E100##100#64
+* xkcd number, A(G,G)
+* Fyn, <u>1</u><sub>0</sub>(76)
+* Ogocorporal, {10, 80, 1, 2}
+* Corporalspeck, {10, 90, 1, 2}
+* Corporalcrumb, {10, 95, 1, 2}
+* Explodol, E(100)
+* Corporalchunk, {10, 99, 1, 2}
+* Corporal / Kil-Googol, {10,100,1,2} = 10[1,1]100
+* Expandor / Cent-hyperon, 100{X+1}100
+* Goourea / goolsol, s(10,100,2,2)
+* Stasplex, g<sub>100</sub>
+* Centuple Centifact, <math>100^* _{100}</math>
+* Graatagold / graatagond / graatada, E100##100#100 = E100##100##2
+* Astrex, #^* ((10))*100
+* Great Cent-hyperhypillion, H* <sub>2</sub>(100,100)
+* Wakoogol, <math>h_{100}(\underbrace{10,10,\cdots,10,10}_{\text{100 10's}})</math>
+* ioannis.c|Output of ioannis.c, <math>\approx f_{\omega+1}(115)</math>
+* Hexadecimal-corporal, {16, 256, 1, 2}
+* Ungranika, <1,1> |488
+* Corporalchime, {10, 1000, 1, 2}
+* Graatagoldachime, E1,000##1,000#1,000
+* Niftimal-corporal, {36, 1296, 1, 2}
+* Pyrophord, g<sub>4707</sub>
+* Corporaltoll, {10, 10000, 1, 2}
+* Myriad Myriofact, <math>10000^* _{10000}</math>
+* Graatagoldatoll, E10,000##10,000#10,000
+* Joycian dulatri, g(19683,1,1,4,3,3)
+* Corporalgong, {10, 100000, 1, 2}
+* Graatagoldagong, E100,000##100,000#100,000 = E100,000##100,000##2
+* Forcal, g<sub>1,000,000</sub>
+* Graham forcal / Forahal, g<sub>1,000,001</sub>
+* Graham graham forcal / Forado, g<sub>1,000,002</sub>
+* Graham graham graham forcal / Foratrio, g<sub>1,000,003</sub>
+* Borcal, g<sub>1,000,000,000</sub>
+* Joycian trimentri, g(3<sup>27</sup>,1,1,4,3,3)
+* Mevenogol, 10<sup>100</sup>[10<sup>100</sup>,10<sup>100</sup>,10<sup>100</sup>]
+* Googolplux, g(g(3,2,g(2,50,100)),1,1,2,100,10)
+* Googolsudexigong, E100,000##1#1#2
+* Googolplexisudex, E100##100#(E100#2)
+* Googolduplexisudex, E100##100#(E100#3)
+* Clarkkkkson, ~ f<sub>ω+1</sub> (Lynz) (increases throughout time)
+=== Part 3.2: <math>f_{\omega+1}(f_3(10))</math> ~ <math>f_{\omega+2}(f_3(10))</math> ===
+* Yudkowsky's Number (Saibian), G(G(1))
+* Googolpluc, g(g(g(2,2,3),2,g(2,100,10)),1,1,2,100,10)
+* Grand hyperfaxul, 200(![1])<sup>200![1]+1</sup> ~ {10,hyperfaxul,1,2}
+* Lower bound of Block subsequence theorem|n(4)
+* Joycian decaltrix, g(g(11,10,10),1,1,11,10,10)
+* Googolplum, g(g(g(3,3,3),2,g(2,100,10)),1,1,2,100,10)
+* Goltreantrex, #^* ((10))^((10))* * ((10))* ((10))*100
+* Grangolsudex, E100##2#1#2
+* Grangoldexisudex, E100##100#(E100#100#2)
+* Tritridex, {3, 3, 2, 2}
+* Grand kilohyperfaxul, 200(![1])<sup>(200![1])![1]+1</sup> ~ {10,kilohyperfaxul,1,2}
+* Greagolsudex, E100##3#1#2
+* Tritetdex, {4, 4, 2, 2}
+* Grand megahyperfaxul, 200(![1])<sup>((200![1])![1])![1]+1</sup> ~ {10,megahyperfaxul,1,2}
+* Gigangolsudex, E100##4#1#2
+* Grand gigahyperfaxul, 200(![1])<sup>(((200![1])![1])![1])![1]+1</sup> ~ {10,gigahyperfaxul,1,2}
+* Gorgegolsudex, E100##5#1#2
+* Grand terahyperfaxul, 200(![1])<sup>((((200![1])![1])![1])![1])![1]+1</sup> ~ {10,terahyperfaxul,1,2}
+* Grand petahyperfaxul, 200(![1])<sup>(((((200![1])![1])![1])![1])![1])![1]+1</sup> ~ {10,petahyperfaxul,1,2}
+* Grand exahyperfaxul, 200(![1])<sup>((((((200![1])![1])![1])![1])![1])![1])![1]+1</sup> ~ {10,exahyperfaxul,1,2}
+* '''Conway's Tetratri''' / primibolplex, 3→3→3→3 ~ g<sub>g<sub>27</sub></sub>
+* Gugolda-sudex, E100##100#1#2
+* Googolsuplexisudex, E100##1#2#2
+* Grangolsuplexisudex, E100##2#2#2
+* Kudi-Chan's Number, ~ g<sub>g<sub>64</sub>+64</sub>
+* Gugolda-suplexisudex, E100##100#2#2
+* Gugolda-dusuplexisudex, E100##100#3#2
+* Gugolda-trisuplexisudex, E100##100#4#2
+* Corporalplex, {10,{10,100,1,2},1,2}
+* Tris-expandor, 100{X+1}100{X+1}100
+* Graatagolda-sudex / graatada-sudex, E100##100#100#2
+* Graatagolda-sudexichime, E1,000##1,000#1,000#2
+* Graatagolda-sudexitoll, E10,000##10,000#10,000#2
+* Graatagolda-sudexigong, E100,000##100,000#100,000#2
+* Force forcal, Forcal(2)
+* Wakoogolplex, <math>h_{100}(\underbrace{10,10,\cdots,10,10}_{\text{wakoogol 10's}})</math>
+* Clarkkkksonplex, ~ f<sub>ω+1</sub>(f<sub>ω+1</sub>(Lynz)) (increases throughout time)
+* Googoldusudex, E100##1#1#3
+* Grangoldusudex, E100##2#1#3
+* Gugolda-dusudex, E100##100#1#3
+* Bigrand hyperfaxul, 200(![1])<sup>200(![1])<sup>200![1]+1</sup>+1</sup> ~ {10,grand hyperfaxul,1,2}
+* Gugolda-suplexidusudex, E100##100#2#3
+* Bigrand kilohyperfaxul, 200(![1])<sup>200(![1])<sup>(200![1])![1]+1</sup>+1</sup> ~ {10,grand kilohyperfaxul,1,2}
+* Gugolda-dusuplexidusudex, E100##100#3#3
+* Bigrand megahyperfaxul, 200(![1])<sup>200(![1])<sup>((200![1])![1])![1]+1</sup>+1</sup> ~ {10,grand megahyperfaxul,1,2}
+* Graatagolda-dusudex / graatada-dusudex, E100##100#100#3
+* Graatagolda-dusudexichime, E1,000##1,000#1,000#3
+* Graatagolda-dusudexitoll, E10,000##10,000#10,000#3
+* Graatagolda-dusudexigong, E100,000##100,000#100,000#3
+* Force force forcal, Forcal(3)
+* Googoltrisudex, E100##1#1#4
+* Terto-Grahal, G(G(G(G(1))))
+* Gugolda-trisudex, E100##100#1#4
+* Trigrand hyperfaxul, 200(![1])<sup>200(![1])<sup>200(![1])<sup>200![1]+1</sup>+1</sup>+1</sup> ~ {10,bigrand hyperfaxul,1,2}
+* Graatagolda-trisudex, E100##100#100#4
+* Trigrand kilohyperfaxul, 200(![1])<sup>200(![1])<sup>200(![1])<sup>(200![1])![1]+1</sup>+1</sup>+1</sup> ~ {10,bigrand kilohyperfaxul,1,2}
+* Trigrand megahyperfaxul, 200(![1])<sup>200(![1])<sup>200(![1])<sup>((200![1])![1])![1]+1</sup>+1</sup>+1</sup> ~ {10,bigrand megahyperfaxul,1,2}
+* Force force force forcal, Forcal(4)
+* Quadgrand hyperfaxul, 200(![1])<sup>200(![1])<sup>200(![1])<sup>200(![1])<sup>200![1]+1</sup>+1</sup>+1</sup>+1</sup> ~ {10,6,2,2}
+* Graatagolda-quadrisudex, E100##100#100#5
+* Quintgrand hyperfaxul, 200(![1])<sup>200(![1])<sup>200(![1])<sup>200(![1])<sup>200(![1])<sup>200![1]+1</sup>+1</sup>+1</sup>+1</sup>+1</sup> ~ {10,7,2,2}
+* Trihexar, <math>Q_{1,2}(6)</math>
+* Graatagolda-quintisudex, E100##100#100#6
+* Graatagolda-sextisudex, E100##100#100#7
+* Graatagolda-septisudex, E100##100#100#8
+* Biance, 10[&2]
+* Multiexpandecal, {10,10,2,2} = {10,2,3,2}
+* Baddom, <math>f_{\omega+2}(10)</math>
+* Graatagolda-octisudex, E100##100#100#9
+* Graatagolda-nonisudex, E100##100#100#10
+* Graatagolda-decisudex, E100##100#100#11
+* Primitrol, s(3,2,4,2)
+* Unfyn, <u>1</u><sub>1</sub>(76)
+* Mulporal / Kil-Doogol, {10,100,2,2} = 10[2,1]100
+* Hypercentifact, <math>100^* _{(100,100)}</math>
+* Greegold / greegond / greegada, E100##100#100#100 = E100##100##3
+* Degranika, <2,1> |488
+* Greegoldachime, E1,000##1,000#1,000#1,000
+* Greegoldatoll, E10,000##10,000#10,000#10,000
+* Greegoldagong, E100,000##100,000#100,000#100,000 = E100,000##100,000##3
+* Suporcal, Forcal(1,000,000) = Forcal<sub>2</sub>(1)
+* Force suporcal, Forcal(1,000,001)
+* Force force suporcal, Forcal(1,000,002)
+* Force force force suporcal, Forcal(1,000,003)
+* Googolsuthrex, E100##1#1#1#2
+=== Part 3.3: <math>f_{\omega+2}(f_3(10))</math> ~ <math>f_{\omega+5}(f_3(10))</math> ===
+* Hypergraham, G<sup>Graham's number|G</sup>(64)
+* Grangolsuthrex, E100##2#1#1#2
+* Greagolsuthrex, E100##3#1#1#2
+* Gigangolsuthrex, E100##4#1#1#2
+* Gorgegolsuthrex, E100##5#1#1#2
+* Googondolsuthrex, E100##10#1#1#2
+* Gugolda-suthrex, E100##100#1#1#2
+* Googolsuplexisuthrex, E100##1#2#1#2
+* Gugolda-suplexisuthrex, E100##100#2#1#2
+* Gugolda-dusuplexisuthrex, E100##100#3#1#2
+* Graatagolda-suthrex, E100##100#100#1#2
+* Googolsudexisuthrex, E100##1#1#2#2
+* Gugolda-sudexisuthrex, E100##100#1#2#2
+* Grand tritri, {3,3,3,2} = 3[3,1]3
+* Primitrolplex, s(3,3,4,2)
+* Graatagolda-sudexisuthrex, E100##100#100#2#2
+* Graatagolda-dusudexisuthrex, E100##100#100#3#2
+* Greegolda-suthrex / greegada-suthrex, E100##100#100#100#2
+* Greegolda-suthrexichime, E1,000##1,000#1,000#1,000#2
+* Greegolda-suthrexitoll, E10,000##10,000#10,000#10,000#2
+* Greegolda-suthrexigong, E100,000##100,000#100,000#100,000#2
+* Superior suporcal, Forcal<sub>2</sub>(2)
+* Descendpent, {5, 4, 3, 2}
+* '''Conway's Tetratet''', 4→4→4→4 = CG(4)
+* Greegolda-dusuthrex, E100##100#100#100#3
+* Greegolda-dusuthrexichime, E1,000##1,000#1,000#1,000#3
+* Greegolda-dusuthrexitoll, E10,000##10,000#10,000#10,000#3
+* Greegolda-dusuthrexigong, E100,000##100,000#100,000#100,000#3
+* Superior superior suporcal, Forcal<sub>2</sub>(3)
+* Superior superior superior suporcal, Forcal<sub>2</sub>(4)
+* Quadhexar, <math>Q_{1,3}(6)</math>
+* Triance, 10[&3]
+* Traddom, <math>f_{\omega+3}(10)</math>
+* Primitetol, s(3,2,5,2)
+* Deufyn, <u>1</u><sub>2</sub>(76)
+* Powporal / Kil-Toogol, {10,100,3,2} = 10[3,1]100
+* Grinningold / grinningond / grinninda, E100##100#100#100#100 = E100##100##4
+* Hectpeta-melpentis, 100[100#5]
+* Treastrex, #^* * * ((10))*100
+* Tregranika, <3,1>|488
+* Grinningoldachime, E1,000##1,000#1,000#1,000#1,000
+* Grinningoldatoll, E10,000##10,000#10,000#10,000#10,000
+* Grinningoldagong, E100,000##100,000#100,000#100,000#100,000 = E100,000##100,000##4
+* Megocal, Forcal<sub>2</sub>(1,000,000) = Forcal<sub>3</sub>(1)
+* Force megocal, Forcal(1+Forcal<sub>2</sub>(999,999))
+* Superior megocal, Forcal<sub>2</sub>(1,000,001)
+* Superior superior megocal, Forcal<sub>2</sub>(1,000,002)
+* Primitetolplex, s(3,3,5,2)
+* Grinningolda-sutetrex / grinninda-sutetrex, E100##100#100#100#100#2
+* Grinningolda-sutetrexichime, E1,000##1,000#1,000#1,000#1,000#2
+* Grinningolda-sutetrexitoll, E10,000##10,000#10,000#10,000#10,000#2
+* Grinningolda-sutetrexigong, E100,000##100,000#100,000#100,000#100,000#2
+* Megaior megocal, Forcal<sub>3</sub>(2)
+* Grinningolda-dusutetrex / grinninda-dusutetrex, E100##100#100#100#100#3
+* Grinningolda-dusutetrexichime, E1,000##1,000#1,000#1,000#1,000#3
+* Grinningolda-dusutetrexitoll, E10,000##10,000#10,000#10,000#10,000#3
+* Grinningolda-dusutetrexigong, E100,000##100,000#100,000#100,000#100,000#3
+* Grand tritet, {4,4,4,2}
+* Megaior megaior megocal, Forcal<sub>3</sub>(3)
+* Megaior megaior megaior megocal, Forcal<sub>3</sub>(4)
+* Quinhexar, <math>Q_{1,4}(6)</math>
+* Genesis / Tetriance, 10[&4]
+* Quadraddom, <math>f_{\omega+4}(10)</math>
+* Primipenol, s(3,2,6,2)
+* Troifyn, <u>1</u><sub>3</sub>(76)
+* Terporal / Kil-Tetoogol, {10,100,4,2} = 10[4,1]100
+* Hecthexa-melhexis, 100[100#6]
+* Golaagold / golaagond / golaada, E100##100##5
+* Golaagoldachime, E1,000##1,000##5
+* Golaagoldatoll, E10,000##10,000##5
+* Golaagoldagong, E100,000##100,000##5
+* Hypercal, Forcal<sub>4</sub>(1)
+* Force hypercal, Forcal(1+Forcal<sub>2</sub>(Forcal<sub>3</sub>(999,999)-1))
+* Superior hypercal, Forcal<sub>2</sub>(1+Forcal<sub>3</sub>(999,999))
+* Megaior hypercal, Forcal<sub>3</sub>(1,000,001)
+* Primipenolplex, s(3,3,6,2)
+* Golaagolda-supentex / golaada-supentex, E100##100#100#100#100#100#2
+* Golaagolda-supentexichime, E1,000##1,000#1,000#1,000#1,000#1,000#2
+* Golaagolda-supentexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#2
+* Golaagolda-supentexigong, E100,000##100,000#100,000#100,000#100,000#100,000#2
+* Hyperior hypercal, Forcal<sub>4</sub>(2)
+* Golaagolda-dusupentex / golaada-dusupentex, E100##100#100#100#100#100#3
+* Golaagolda-dusupentexichime, E1,000##1,000#1,000#1,000#1,000#1,000#3
+* Golaagolda-dusupentexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#3
+* Golaagolda-dusupentexigong, E100,000##100,000#100,000#100,000#100,000#100,000#3
+* Hyperior hyperior hypercal, Forcal<sub>4</sub>(3)
+* Grand tripent, {5,5,5,2}
+* Hyperior hyperior hyperior hypercal, Forcal<sub>4</sub>(4)
+* Sexahexar, <math>Q_{1,5}(6)</math>
+* Pentiance, 10[&5]
+* Quintaddom, <math>f_{\omega+5}(10)</math>
+* Pepporal, {10,100,5,2}
+* Hecthepta-melheptis, 100[100#7]
+* Gruelohgold / gruelohgond / gruelohda, E100##100##6
+* Gruelohgoldachime, E1,000##1,000##6
+* Gruelohgoldatoll, E10,000##10,000##6
+* Gruelohgoldagong, E100,000##100,000##6
+* Gorgcal, Forcal<sub>5</sub>(1)
+* Force gorgcal, Forcal(1+Forcal<sub>2</sub>(Forcal<sub>3</sub>(Forcal<sub>4</sub>(999,999)-1)-1))
+* Superior gorgcal, Forcal<sub>2</sub>(1+Forcal<sub>3</sub>(Forcal<sub>4</sub>(999,999)-1))
+* Megaior gorgcal, Forcal<sub>3</sub>(1+Forcal<sub>4</sub>(999,999))
+* Hyperior gorgcal, Forcal<sub>4</sub>(1,000,001)
+=== Part 3.4: <math>f_{\omega+5}(f_3(10))</math> ~ <math>f_{\omega+11}(10)</math> ===
+* Gruelohgolda-suhex, E100##100#100#100#100#100#100#2
+* Gruelohgolda-suhexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#2
+* Gruelohgolda-suhexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#2
+* Gruelohgolda-suhexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#2
+* Gorgcaior gorgcal, Forcal<sub>5</sub>(2)
+* Gruelohgolda-dusuhex, E100##100#100#100#100#100#100#3
+* Gruelohgolda-dusuhexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#3
+* Gruelohgolda-dusuhexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#3
+* Gruelohgolda-dusuhexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#3
+* Gorgcaior gorgcaior gorgcal, Forcal<sub>5</sub>(3)
+* Gorgcaior gorgcaior gorgcaior gorgcal, Forcal<sub>5</sub>(4)
+* Septahexar, <math>Q_{2,0}(6)</math>
+* Sextaddom, <math>f_{\omega+6}(10)</math>
+* Hectocta-meloctis, 100[100#8]
+* Gaspgold / gaspgond, E100##100##7
+* Havering, 112![7]
+* Gaspgoldachime, E1,000##1,000##7
+* Gaspgoldatoll, E10,000##10,000##7
+* Gaspgoldagong, E100,000##100,000##7
+* Gulfcal, Forcal<sub>6</sub>(1)
+* Gaspgolda-suheptex, E100##100#100#100#100#100#100#100#2
+* Gaspgolda-suheptexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
+* Gaspgolda-suheptexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
+* Gaspgolda-suheptexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
+* Gulfcaior gulfcal, Forcal<sub>6</sub>(2)
+* Gaspgolda-dusuheptex, E100##100#100#100#100#100#100#100#3
+* Gaspgolda-dusuheptexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
+* Gaspgolda-dusuheptexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
+* Gaspgolda-dusuheptexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
+* Gulfcaior gulfcaior gulfcal, Forcal<sub>6</sub>(3)
+* Gulfcaior gulfcaior gulfcaior gulfcal, Forcal<sub>6</sub>(4)
+* Septaddom, <math>f_{\omega+7}(10)</math>
+* Heptporal, {10,100,7,2}
+* Hectenna-melenna. 100[100#9]
+* Ginorgold / ginorgond, E100##100##8
+* Ginorgoldachime, E1,000##1,000##8
+* Ginorgoldatoll, E10,000##10,000##8
+* Ginorgoldagong, E100,000##100,000##8
+* Gaspocal, Forcal<sub>7</sub>(1)
+* Ginorgolda-suoctex, E100##100#100#100#100#100#100#100#100#2
+* Ginorgolda-suoctexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
+* Ginorgolda-suoctexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
+* Ginorgolda-suoctexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
+* Gaspocaior gaspocal, Forcal<sub>7</sub>(2)
+* Ginorgolda-dusuoctex, E100##100#100#100#100#100#100#100#100#3
+* Ginorgolda-dusuoctexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
+* Ginorgolda-dusuoctexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
+* Ginorgolda-dusuoctexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
+* Gaspocaior gaspocaior gaspocal, Forcal<sub>7</sub>(3)
+* Gaspocaior gaspocaior gaspocaior gaspocal, Forcal<sub>7</sub>(4)
+* Octaddom, <math>f_{\omega+8}(10)</math>
+* Octporal, {10,100,8,2}
+* Decazhel, 10[10#10]
+* Hectdeka-meldeka, 100[100#10]
+* Gargantuuld / gargantuund, E100##100##9
+* Gargantuuldachime, E1,000##1,000##9
+* Gargantuuldatoll, E10,000##10,000##9
+* Gargantuuldagong, E100,000##100,000##9
+* Ginorcal, Forcal<sub>8</sub>(1)
+* Gargantuulda-suennex, E100##100#100#100#100#100#100#100#100#100#2
+* Gargantuulda-suennexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
+* Gargantuulda-suennexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
+* Gargantuulda-suennexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
+* Ginorcaior ginorcal, Forcal<sub>8</sub>(2)
+* Gargantuulda-dusuennex, E100##100#100#100#100#100#100#100#100#100#3
+* Gargantuulda-dusuennexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
+* Gargantuulda-dusuennexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
+* Gargantuulda-dusuennexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
+* Ginorcaior ginorcaior ginorcal, Forcal<sub>8</sub>(3)
+* Ginorcaior ginorcaior ginorcaior ginorcal, Forcal<sub>8</sub>(4)
+* Nonaddom, <math>f_{\omega+9}(10)</math>
+* Ennporal, {10,100,9,2}
+* Googondold / googondond, E100##100##10
+* Googondoldachime, E1,000##1,000##10
+* Googondoldatoll, E10,000##10,000##10
+* Googondoldagong, E100,000##100,000##10
+* Googondolda-sudecex, E100##100#100#100#100#100#100#100#100#100#100#2
+* Googondolda-sudecexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#2
+* Googondolda-sudecexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#2
+* Googondolda-sudecexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#2
+* Googondolda-dusudecex, E100##100#100#100#100#100#100#100#100#100#100#3
+* Googondolda-dusudecexichime, E1,000##1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#1,000#3
+* Googondolda-dusudecexitoll, E10,000##10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#10,000#3
+* Googondolda-dusudecexigong, E100,000##100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#100,000#3
+* Grand tridecal, {10,10,10,2}
+* Iterais, 10[&10] = 10[&&]
+* Dekaddom / bultom, <math>f_{\omega+10}(10)</math>
+* Decporal, {10,100,10,2}
+* Googoadold, E100##100##11
+* <nowiki>Solution, {{{{{42, 42, 1, 2}, 2, 2}, 3, 2}, 5, 2}, 10, 2}</nowiki>
+=== Part 3.5: <math>f_{\omega+11}(10)</math> ~ <math>f_{\omega2}(f_3(10))</math> ===
+* Ununaddom, <math>f_{\omega+11}(10)</math>
+* Goograndold, E100##100##12
+* Bunaddom, <math>f_{\omega+12}(10)</math>
+* Grand dozenal, {12,12,12,2}
+* Googreadold, E100##100##13
+* Trunaddom, <math>f_{\omega+13}(10)</math>
+* Googigandold, E100##100##14
+* Quadrunaddom, <math>f_{\omega+14}(10)</math>
+* Googorgedold, E100##100##15
+* Quintunaddom, <math>f_{\omega+15}(10)</math>
+* Googuldold, E100##100##16
+* Sextunaddom, <math>f_{\omega+16}(10)</math>
+* Googaspdold, E100##100##17
+* Septunaddom, <math>f_{\omega+17}(10)</math>
+* Googinordold, E100##100##18
+* Octunaddom, <math>f_{\omega+18}(10)</math>
+* Googargantuuld, E100##100##19
+* Nonunaddom, <math>f_{\omega+19}(10)</math>
+* Googonkosold, E100##100##20
+* Vigaddom / zeribaddom, <math>f_{\omega+20}(10)</math>
+* Unibaddom, <math>f_{\omega+21}(10)</math>
+* Bibaddom, <math>f_{\omega+22}(10)</math>
+* Tribaddom, <math>f_{\omega+23}(10)</math>
+* Quadribaddom, <math>f_{\omega+24}(10)</math>
+* Quintibaddom, <math>f_{\omega+25}(10)</math>
+* Sextibaddom, <math>f_{\omega+26}(10)</math>
+* Septibaddom, <math>f_{\omega+27}(10)</math>
+* Octibaddom, <math>f_{\omega+28}(10)</math>
+* Nonibaddom, <math>f_{\omega+29}(10)</math>
+* Googontritold, E100##100##30
+* Googonsartold, E100##100##40
+* Chan.c numbers|chan-2.c, <math>\approx f_{\omega+48}(2)</math>
+* Googonpetold, E100##100##50
+* Googonextold, E100##100##60
+* Googoneptold, E100##100##70
+* Bi-Fyn, <u>2</u><sub>0</sub>(76)
+* Googonogdold, E100##100##80
+* Biggolspeck, {10,10,90,2}
+* Googonentold, E100##100##90
+* Biggolcrumb, {10,10,95,2}
+* Biggolchunk, {10,10,99,2}
+* Ternary-biggol, {3,3,100,2}
+* Quarternary-biggol, {4,4,100,2}
+* Quinary-biggol, {5,5,100,2}
+* Octal-biggol / biggolbyte, {8,8,100,2}
+* Gugolthra / gugonthra / googonhectold / goolthra, E100##100##100
+* Biggol / Dukiloogol, {10,10,100,2} = 10[0,2]100
+* Hektaddom, <math>f_{\omega+100}(10)</math>
+* Dozenal-biggol / duodecimal-biggol, {12,12,100,2}
+* Hexadecimal-biggol, {16,16,100,2}
+* Grand trihectal, {100,100,100,2}
+* Giaxul, 200![200] = 200![1,2] ~ {10,10,199,2}
+* Kilogiaxul, (200![200])![200] ~ {10,3,200,2}
+* Megagiaxul, ((200![200])![200])![200] ~ {10,4,200,2}
+* Gigagiaxul, (((200![200])![200])![200])![200] ~ {10,5,200,2}
+* Teragiaxul, ((((200![200])![200])![200])![200])![200] ~ {10,6,200,2}
+* Petagiaxul, (((((200![200])![200])![200])![200])![200])![200] ~ {10,7,200,2}
+* Exagiaxul, ((((((200![200])![200])![200])![200])![200])![200])![200] ~ {10,8,200,2}
+* Ultron, <math>\approx f_{\omega+200}(100)</math>
+* Grand Giaxul, 200(![200])<sup>200![200]+1</sup> ~ {10,giaxul,200,2}
+* Grand Kilogiaxul, 200(![200])<sup>(200![200])![200]+1</sup> ~ {10,kilogiaxul,200,2}
+* Grand Megagiaxul, 200(![200])<sup>((200![200])![200])![200]+1</sup>
+* Grand Gigagiaxul, 200(![200])<sup>(((200![200])![200])![200])![200]+1</sup>
+* Grand Teragiaxul, 200(![200])<sup>((((200![200])![200])![200])![200])![200]+1</sup>
+* Grand Petagiaxul, 200(![200])<sup>(((((200![200])![200])![200])![200])![200])![200]+1</sup>
+* Grand Exagiaxul, 200(![200])<sup>((((((200![200])![200])![200])![200])![200])![200])![200]+1</sup>
+* Bigrand Giaxul, 200(![200])<sup>200(![200])<sup>200![200]+1</sup>+1</sup> ~ {10,Grand Giaxul,200,2}
+* Bigrand Kilogiaxul, 200(![200])<sup>200(![200])<sup>(200![200])![200]+1</sup>+1</sup>
+* Bigrand Megagiaxul, 200(![200])<sup>200(![200])<sup>((200![200])![200])![200]+1</sup>+1</sup>
+* Trigrand Giaxul, 200(![200])<sup>200(![200])<sup>200(![200])<sup>200![200]+1</sup>+1</sup>+1</sup> ~ {10,4,201,2}
+* Trigrand Kilogiaxul, 200(![200])<sup>200(![200])<sup>200(![200])<sup>(200![200])![200]+1</sup>+1</sup>+1</sup>
+* Trigrand Megagiaxul, 200(![200])<sup>200(![200])<sup>200(![200])<sup>((200![200])![200])![200]+1</sup>+1</sup>+1</sup>
+* Quadgrand Giaxul, 200(![200])<sup>200(![200])<sup>200(![200])<sup>200(![200])<sup>200![200]+1</sup>+1</sup>+1</sup>+1</sup> ~ {10,5,201,2}
+* Quintgrand Giaxul, 200(![200])<sup>200(![200])<sup>200(![200])<sup>200(![200])<sup>200(![200])<sup>200![200]+1</sup>+1</sup>+1</sup>+1</sup>+1</sup> ~ {10,6,201,2}
+* Bigranika, <0,2> |488
+* Bwiggol / biggolchime, {10,10,1000,2}
+* Kiladdom, <math>f_{\omega+1000}(10)</math>
+* Biggoltoll, {10,10,10000,2}
+* Skibidi toilet grimace ohio, <math>f_{\omega 2}(69420)</math>
+* Biggolgong, {10,10,100000,2}
+* Megaddom, <math>f_{\omega+1000000}(10)</math>
+* Terribocal, Forcal<sub>1000000</sub>(1) = Forcal<sub>1,2</sub>(1)
+* Biggolbong, {10,10,100000000,2}
+* Gigaddom, <math>f_{\omega+10^9}(10)</math>
+* Biggolthrong, {10,10,{10,11},2}
+* Teraddom, <math>f_{\omega+10^{12}}(10)</math>
+* Petaddom, <math>f_{\omega+10^{15}}(10)</math>
+* Exaddom, <math>f_{\omega+10^{18}}(10)</math>
+* Zettaddom, <math>f_{\omega+10^{21}}(10)</math>
+* Yottaddom, <math>f_{\omega+10^{24}}(10)</math>
+* Googolplexitris, E100##100##(E100)
+* Googolplexplexitris, E100##100##(E100#2)
+=== Part 3.6: <math>f_{\omega2}(f_3(10))</math> ~ <math>f_{\omega3}(f_3(10))</math> ===
+* Duprimitol, s(3,2,2,3)
+* Grangolplexitris, E100##100##(E100#100)
+* Greagolplexitris, E100##100##(E100#100#100)
+* Gigangolplexitris, E100##100##(E100#100#100#100)
+* Great gugold / Gugolda-plexitris, E100##100##1#2
+* Great graatagold, E100##100##2#2
+* Great greegold, E100##100##3#2
+* Grand tritriplex, {3,3,1,3}
+* Great grinningold, E100##100##4#2
+* Great golaagold, E100##100##5#2
+* Great gruelohgold, E100##100##6#2
+* Great gaspgold, E100##100##7#2
+* Great ginorgold, E100##100##8#2
+* Great gargantuuld, E100##100##9#2
+* Great googondold, E100##100##10#2
+* Gugolthra-plexitris, E100##100##100#2
+* Biggolplex, {10,10,{10,10,100,2},2}
+* Ultronplex, <math>\approx f_{\omega2}(f_{\omega+200}(100))</math>
+* Terribocaior Terribocal, Forcal<sub>Terribocal</sub>(1) = Forcal<sub>1,2</sub>(2)
+* Duprimitolplex, s(3,3,2,3)
+* Gugolthra-duplexitris, E100##100##100#3
+* Biggolduplex, {10,10,{10,10,{10,10,100,2},2},2}
+* Gugolthra-triplexitris, E100##100##100#4
+* Unadd-bultom, <math>f_{\omega2+1}(10)</math>
+* Bi-Unfyn, <u>2</u><sub>1</sub>(76)
+* Dukil-Googol / corplodal, 10[1,2]100 = {10,100,1,3}
+* Graatagolthra / graatathra, E100##100##100##2
+* Terribuporcal, Forcal<sub>2,2</sub>(1)
+* Wonkapoogol, <math>h_x(h,\underbrace{10,10,\cdots,10,10}_{\text{100 10's}})(100)</math>
+* Duprimibol, s(3,2,3,3)
+* Graatagolthra-dexitris, E100##100##100#100#2
+* Terribuperior Terribuporcal, Forcal<sub>2,2</sub>(2)
+* Wonkapoogolplex, <math>h_x(h,\underbrace{10,10,\cdots,10,10}_{\text{wonkapoogol 10's}})(100)</math>
+* Tetentri / duprimibolplex, s(3,3,3,3)
+* Graatagolthra-dudexitris, E100##100##100#100#3
+* Graatagolthra-tridexitris, E100##100##100#100#4
+* Badd-bultom, <math>f_{\omega2+2}(10)</math>
+* Bi-Deufyn, <u>2</u><sub>2</sub>(76)
+* Dukil-Doogol / mulplodal, 10[2,2]100 = {10,100,2,3}
+* Greegolthra / greegathra, E100##100##100##3
+* Terribegocal, Forcal<sub>3,2</sub>(1)
+* Tetratri, {3,3,3,3}
+* Greegolthra-threxitris, E100##100##100#100#100#2
+* Greegolthra-duthrexitris, E100##100##100#100#100#3
+* Greegolthra-trithrexitris, E100##100##100#100#100#4
+* Tradd-bultom, <math>f_{\omega2+3}(10)</math>
+* Bi-Troifyn, <u>2</u><sub>3</sub>(76)
+* Powplodal, {10,100,3,3}
+* Grinningolthra / grinninthra, E100##100##100##4
+* Terribypercal, Forcal<sub>4,2</sub>(1)
+* Grinningolthra-tetrexitris, E100##100##100#100#100#100#2
+* Grinningolthra-dutetrexitris, E100##100##100#100#100#100#3
+* Grinningolthra-tritetrexitris, E100##100##100#100#100#100#4
+* Terplodal, {10,100,4,3}
+* Kirby-Paris hydra|Hydra(4) (lower bound), <math>> f_{\omega2+4}(5)</math>
+* Hecta-pepto-hypermel, 100[100#####100]
+* Golaagolthra / golaathra, E100##100##100##5
+* Chan.c numbers|chan-3.c, <math>\approx f_{\omega2+4}(9998)</math>
+* Terriborgecal, Forcal<sub>5,2</sub>(1)
+* Golaagolthra-pentexitris, E100##100##100#100#100#100#100#2
+* Golaagolthra-dupentexitris, E100##100##100#100#100#100#100#3
+* Golaagolthra-tripentexitris, E100##100##100#100#100#100#100#4
+* Pentplodal, {10,100,5,3}
+* Gruelohgolthra / gruelohthra, E100##100##100##6
+* Terribulfcal, Forcal<sub>6,2</sub>(1)
+* Gruelohgolthra-hexitris, E100##100##100#100#100#100#100#100#2
+* Gruelohgolthra-duhexitris, E100##100##100#100#100#100#100#100#3
+* Gruelohgolthra-trihexitris, E100##100##100#100#100#100#100#100#4
+* Septasexahexar, <math>Q_{3,0}(6)</math>
+* Gaspgolthra, E100##100##100##7
+* Terribaspcal, Forcal<sub>7,2</sub>(1)
+* Gaspgolthra-heptexitris, E100##100##100#100#100#100#100#100#100#2
+* Gaspgolthra-duheptexitris, E100##100##100#100#100#100#100#100#100#3
+* Gaspgolthra-triheptexitris, E100##100##100#100#100#100#100#100#100#4
+* Ginorgolthra, E100##100##100##8
+* Terribinorcal, Forcal<sub>8,2</sub>(1)
+* Ginorgolthra-octexitris, E100##100##100#100#100#100#100#100#100#100#2
+* Ginorgolthra-duoctexitris, E100##100##100#100#100#100#100#100#100#100#3
+* Ginorgolthra-trioctexitris, E100##100##100#100#100#100#100#100#100#100#4
+* Gargantuulthra, E100##100##100##9
+* Gargantuulthra-ennexitris, E100##100##100#100#100#100#100#100#100#100#100#2
+* Gargantuulthra-duennexitris, E100##100##100#100#100#100#100#100#100#100#100#3
+* Gargantuulthra-triennexitris, E100##100##100#100#100#100#100#100#100#100#100#4
+* Hecta-dekato-hypermel, 100[100##########100]
+* Googondolthra, E100##100##100##10
+* Googondolthra-decexitris, E100##100##100#100#100#100#100#100#100#100#100#100#2
+* Googondolthra-dudecexitris, E100##100##100#100#100#100#100#100#100#100#100#100#3
+* Googondolthra-tridecexitris, E100##100##100#100#100#100#100#100#100#100#100#100#4
+* Great tridecal, {10,10,10,3}
+* Iteraduis, 10[&&10] = 10[&&&]
+* Trultom / dekadd-bultom, <math>f_{\omega3}(10)</math>
+* Googonkosolthra, E100##100##100##20
+* Googontritolthra, E100##100##100##30
+* Googonsartolthra, E100##100##100##40
+* Googonpetolthra, E100##100##100##50
+* Googonextolthra, E100##100##100##60
+* Googoneptolthra, E100##100##100##70
+* Tri-Fyn, <u>3</u><sub>0</sub>(76)
+* Googonogdolthra, E100##100##100##80
+* Googonentolthra, E100##100##100##90
+* Gugoltesla / gugontesla / googonhectolthra / gooltesla, E100##100##100##100
+* Baggol / Trukiloogol, {10,10,100,3} = 10[0,3]100
+* Tri-astragold, #^^^((10))*100
+* Juice infused Chain Arrows, <math>17 \rightarrow 592 \rightarrow 186 \rightarrow 44 \rightarrow 416</math>
+* Trigranika, <0,3> |488
+* Bwaggol, {10,10,1000,3}
+* Baggoltoll, {10,10,10000,3}
+* Baggolgong, {10,10,100000,3}
+* Tribocal, Forcal<sub>1000000,2</sub>(1) = Forcal<sub>1,3</sub>(1)
+=== Part 3.7: <math>f_{\omega3}(f_3(10))</math> ~ <math>f_{\omega5}(f_3(10))</math> ===
+* Truprimitol, s(3,2,2,4)
+* Gugoltesla-plexitetris, E100##100##100##100#2
+* Baggolplex, {10,10,{10,10,100,3},3}
+* Tribocaior Tribocal, Forcal<sub>1,3</sub>(2)
+* Truprimitolplex, s(3,3,2,4)
+* Tri-Unfyn, <u>3</u><sub>1</sub>(76)
+* Cordetal, {10,100,1,4}
+* Graatagoltesla / graatatesla, E100##100##100##100##2
+* Tribuporcal, Forcal<sub>2,3</sub>(1)
+* Truprimibol, s(3,2,3,4)
+* Graatagoltesla-dexitetris, E100##100##100##100#100#2
+* Truprimibolplex, s(3,3,3,4)
+* Tri-Deufyn, <u>3</u><sub>2</sub>(76)
+* Muldetal, {10,100,2,4}
+* Greegoltesla / greegatesla, E100##100##100##100##3
+* Tribegocal, Forcal<sub>3,3</sub>(1)
+* Powdetal, {10,100,3,4}
+* Greegoltesla-threxitetris, E100##100##100##100#100#100#2
+* Hayden's Tetratri, 3(3)(3)3
+* Tetentet, s(4,4,4,4)
+* Tri-Troifyn, <u>3</u><sub>3</sub>(76)
+* Grinningoltesla / grinnintesla, E100##100##100##100##4
+* Tribypercal, Forcal<sub>4,3</sub>(1)
+* Grinningoltesla-tetrexitetris, E100##100##100##100#100#100#100#2
+* Supertet, {4,4,4,4}
+* Tetdetal, {10,100,4,4}
+* Golaagoltesla / golaatesla, E100##100##100##100##5
+* Golaagoltesla-pentexitetris, E100##100##100##100#100#100#100#100#2
+* Gruelohgoltesla / gruelohtesla, E100##100##100##100##6
+* Gruelohgoltesla-hexitetris, E100##100##100##100#100#100#100#100#100#2
+* Septasexa-sexahexar, <math>Q_{4,0}(6)</math>
+* Gaspgoltesla, E100##100##100##100##7
+* Gaspgoltesla-heptexitetris, E100##100##100##100#100#100#100#100#100#100#2
+* Ginorgoltesla, E100##100##100##100##8
+* Ginorgoltesla-octexitetris, E100##100##100##100#100#100#100#100#100#100#100#2
+* Gargantuultesla, E100##100##100##100##9
+* Gargantuultesla-ennexitetris, E100##100##100##100#100#100#100#100#100#100#100#100#2
+* Googondoltesla, E100##100##100##100##10
+* Gigantic tridecal, {10,10,10,4}
+* Iteratris, 10[&&&10] = 10[&&&&]
+* Quadrultom, <math>f_{\omega4}(10)</math>
+* Googonkosoltesla, E100##100##100##100##20
+* Googontritoltesla, E100##100##100##100##30
+* Googonsartoltesla, E100##100##100##100##40
+* Googonpetoltesla, E100##100##100##100##50
+* Googonextoltesla, E100##100##100##100##60
+* Googoneptoltesla, E100##100##100##100##70
+* Googonogdoltesla, E100##100##100##100##80
+* Googonentoltesla, E100##100##100##100##90
+* Gugolpeta / gugonpeta / googonhectoltesla / goolpeta, E100##100##100##100##100
+* Beegol / Tetrukiloogol, {10,10,100,4} = 10[0,4]100
+* Bweegol, {10,10,1000,4}
+* Beegolgong, {10,10,100000,4}
+* Tetribocal, Forcal<sub>1,4</sub>(1)
+* Quadprimitol, s(3,2,2,5)
+* Gugolpeta-plexipentris, E100##100##100##100##100#2
+* Beegolplex, {10,10,{10,10,100,4},4}
+* Quadprimitolplex, s(3,3,2,5)
+* Septahexar-unnar, <math>Q_{4,1}(6)</math>
+* Corpental, {10,100,1,5}
+* Graatagolpeta / graatapeta, E100##100##100##100##100##2
+* Tetribuporcal, Forcal<sub>2,4</sub>(1)
+* Quadprimibol, s(3,2,3,5)
+* Graatagolpeta-dexipentris, E100##100##100##100##100#100#2
+* Quadprimibolplex, s(3,3,3,5)
+* Septahexar-duar, <math>Q_{4,2}(6)</math>
+* Greegolpeta / greegapeta, E100##100##100##100##100##3
+* Greegolpeta-threxipentris, E100##100##100##100##100#100#100#2
+* Septahexar-trear, <math>Q_{4,3}(6)</math>
+* Grinningolpeta / grinninpeta, E100##100##100##100##100##4
+* Grinningolpeta-tetrexipentris, E100##100##100##100##100#100#100#100#2
+* Hayden's Tetratet, 4(4)(4)4
+* Tetenpent, s(5,5,5,5)
+* Septahexar-quadrar, <math>Q_{4,4}(6)</math>
+* Golaagolpeta / golaapeta, E100##100##100##100##100##5
+* Golaagolpeta-pentexipentris, E100##100##100##100##100#100#100#100#100#2
+* Tetrapent, {5,5,5,5}
+* Septahexar-quintar, <math>Q_{4,5}(6)</math>
+* Gruelohgolpeta / gruelohpeta, E100##100##100##100##100##6
+* Gruelohgolpeta-hexipentris, E100##100##100##100##100#100#100#100#100#100#2
+* Septahexar-sexar, <math>Q_{5,0}(6)</math>
+* Gaspgolpeta, E100##100##100##100##100##7
+* Gaspgolpeta-heptexipentris, E100##100##100##100##100#100#100#100#100#100#100#2
+* Ginorgolpeta, E100##100##100##100##100##8
+* Ginorgolpeta-octexipentris, E100##100##100##100##100#100#100#100#100#100#100#100#2
+* Gargantuulpeta, E100##100##100##100##100##9
+* Gargantuulpeta-ennexipentris, E100##100##100##100##100#100#100#100#100#100#100#100#100#2
+* Googondolpeta, E100##100##100##100##100##10
+* Googondolpeta-decexipentris, E100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
+* Gorged tridecal, {10,10,10,5}
+* Quintultom, <math>f_{\omega5}(10)</math>
+* Googonkosolpeta, E100##100##100##100##100##20
+* Googontritolpeta, E100##100##100##100##100##30
+* Googonsartolpeta, E100##100##100##100##100##40
+* Googonpetolpeta, E100##100##100##100##100##50
+* Googonextolpeta, E100##100##100##100##100##60
+* Googoneptolpeta, E100##100##100##100##100##70
+* Googonogdolpeta, E100##100##100##100##100##80
+* Googonentolpeta, E100##100##100##100##100##90
+* Gugolhexa / gugonhexa / googonhectolpeta / goolhexa, E100##100##100##100##100##100
+* Bigol / Pentukiloogol, {10,10,100,5} = 10[0,5]100
+* Bwigol, {10,10,1000,5}
+* Bigolgong, {10,10,100000,5}
+* Pentibocal, Forcal<sub>1,5</sub>(1)
+=== Part 3.8: <math>f_{\omega5}(f_3(10))</math> ~ <math>f_{\omega7}(f_3(10))</math> ===
+* Quinprimitol, s(3,2,2,6)
+* Corhexal, {10,100,1,6}
+* Gugolhexa-plexihexis, E100##100##100##100##100##100#2
+* Quinprimitolplex, s(3,3,2,6)
+* Septahexar-septar, <math>Q_{5,1}(6)</math>
+* Graatagolhexa / graatahexa, E100##100##100##100##100##100#100
+* Quinprimibol, s(3,2,3,6)
+* Graatagolhexa-dexihexis, E100##100##100##100##100##100#100#2
+* Quinprimibolplex, s(3,3,3,6)
+* Septahexar-octar, <math>Q_{5,2}(6)</math>
+* Greegolhexa / greegahexa, E100##100##100##100##100##100##3
+* Greegolhexa-threxihexis, E100##100##100##100##100##100#100#100#2
+* Septahexar-nonar, <math>Q_{5,3}(6)</math>
+* Grinningolhexa / grinninhexa, E100##100##100##100##100##100##4
+* Grinningolhexa-tetrexihexis, E100##100##100##100##100##100#100#100#100#2
+* Septahexar-decar, <math>Q_{5,4}(6)</math>
+* Golaagolhexa / golaahexa, E100##100##100##100##100##100##5
+* Golaagolhexa-pentexihexis, E100##100##100##100##100##100#100#100#100#100#2
+* Ascendhex, {3, 4, 5, 6}
+* Tetenhex, s(6,6,6,6)
+* Septahexar-undecar, <math>Q_{5,5}(6)</math>
+* Gruelohgolhexa / gruelohhexa, E100##100##100##100##100##100##6
+* Gruelohgolhexa-hexihexis, E100##100##100##100##100##100#100#100#100#100#100#2
+* Tetrahex, {6,6,6,6}
+* Septahexar-hexar, <math>Q_{1,0,0}(6)</math>
+* Gaspgolhexa, E100##100##100##100##100##100##7
+* Gaspgolhexa-heptexihexis, E100##100##100##100##100##100#100#100#100#100#100#100#2
+* Ginorgolhexa, E100##100##100##100##100##100##8
+* Ginorgolhexa-octexihexis, E100##100##100##100##100##100#100#100#100#100#100#100#100#2
+* Gargantuulhexa, E100##100##100##100##100##100##9
+* Gargantuulhexa-ennexihexis, E100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
+* Googondolhexa, E100##100##100##100##100##100##10
+* Googondolhexa-decexihexis, E100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
+* Gulp tridecal, {10,10,10,6}
+* Iterapentis, 10[&&&&&10] = 10[&&&&&&]
+* Sextultom, <math>f_{\omega6}(10)</math>
+* Googonkosolhexa, E100##100##100##100##100##100##20
+* Googontritolhexa, E100##100##100##100##100##100##30
+* Googonsartolhexa, E100##100##100##100##100##100##40
+* Googonpetolhexa, E100##100##100##100##100##100##50
+* Googonextolhexa, E100##100##100##100##100##100##60
+* Googoneptolhexa, E100##100##100##100##100##100##70
+* Googonogdolhexa, E100##100##100##100##100##100##80
+* Googonentolhexa, E100##100##100##100##100##100##90
+* Gugolhepta / gugonhepta / googonhectolhexa, E100##100##100##100##100##100##100
+* Boggol / Hexukiloogol, {10,10,100,6} = 10[0,6]100
+* Bwoggol, {10,10,1000,6}
+* Hexibocal, Forcal<sub>1,6</sub>(1)
+* Gugolhepta-plexiheptis, E100##100##100##100##100##100##100#2
+* Boggolplex, {10,10,{10,10,100,6},6}
+* Corheptal, {10,100,1,7}
+* Graatagolhepta, E100##100##100##100##100##100##100#100
+* Graatagolhepta-dexiheptis, E100##100##100##100##100##100##100#100#2
+* Greegolhepta, E100##100##100##100##100##100##100##3
+* Greegolhepta-threxiheptis, E100##100##100##100##100##100##100#100#100#2
+* Grinningolhepta, E100##100##100##100##100##100##100##4
+* Grinningolhepta-tetrexiheptis, E100##100##100##100##100##100##100#100#100#100#2
+* Golaagolhepta, E100##100##100##100##100##100##100##5
+* Golaagolhepta-pentexiheptis, E100##100##100##100##100##100##100#100#100#100#100#2
+* Gruelohgolhepta, E100##100##100##100##100##100##100##6
+* Gruelohgolhepta-hexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#2
+* Gaspgolhepta, E100##100##100##100##100##100##100##7
+* Gaspgolhepta-heptexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#100#2
+* Tetrahept, {7,7,7,7}
+* Ginorgolhepta, E100##100##100##100##100##100##100##8
+* Ginorgolhepta-octexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#100#100#2
+* Gargantuulhepta, E100##100##100##100##100##100##100##9
+* Gargantuulhepta-ennexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
+* Googondolhepta, E100##100##100##100##100##100##100##10
+* Googondolhepta-decexiheptis, E100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
+* Gasp tridecal, {10,10,10,7}
+* Septultom, <math>f_{\omega7}(10)</math>
+* Googonkosolhepta, E100##100##100##100##100##100##100##20
+* Googontritolhepta, E100##100##100##100##100##100##100##30
+* Googonsartolhepta, E100##100##100##100##100##100##100##40
+* Googonpetolhepta, E100##100##100##100##100##100##100##50
+* Googonextolhepta, E100##100##100##100##100##100##100##60
+* Googoneptolhepta, E100##100##100##100##100##100##100##70
+* Googonogdolhepta, E100##100##100##100##100##100##100##80
+* Googonentolhepta, E100##100##100##100##100##100##100##90
+* Gugolocta / gugonocta / googonhectolhepta, E100##100##100##100##100##100##100##100
+* Bagol / Heptukiloogol, {10,10,100,7} = 10[0,7]100
+* Bwagol, {10,10,1000,7}
+* Heptibocal, Forcal<sub>1,7</sub>(1)
+=== Part 3.9: <math>f_{\omega7}(f_3(10))</math> ~ <math>f_{\omega10}(f_3(10))</math> ===
+* Gugolocta-plexoctis, E100##100##100##100##100##100##100##100#2
+* Coroctal, {10,100,1,8}
+* Graatagolocta, E100##100##100##100##100##100##100##100#100
+* Graatagolocta-dexoctis, E100##100##100##100##100##100##100##100#100#2
+* Greegolocta, E100##100##100##100##100##100##100##100##3
+* Greegolocta-threxoctis, E100##100##100##100##100##100##100##100#100#100#2
+* Grinningolocta, E100##100##100##100##100##100##100##100##4
+* Grinningolocta-tetrexoctis, E100##100##100##100##100##100##100##100#100#100#100#2
+* Golaagolocta, E100##100##100##100##100##100##100##100##5
+* Golaagolocta-pentexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#2
+* Gruelohgolocta, E100##100##100##100##100##100##100##100##6
+* Gruelohgolocta-hexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#2
+* Gaspgolocta, E100##100##100##100##100##100##100##100##7
+* Gaspgolocta-heptexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#100#2
+* Ginorgolocta, E100##100##100##100##100##100##100##100##8
+* Ginorgolocta-octexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#2
+* Gargantuulocta, E100##100##100##100##100##100##100##100##9
+* Gargantuulocta-ennexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
+* Googondolocta, E100##100##100##100##100##100##100##100##10
+* Googondolocta-decexoctis, E100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
+* Octultom, <math>f_{\omega8}(10)</math>
+* Googonkosolocta, E100##100##100##100##100##100##100##100##20
+* Googontritolocta, E100##100##100##100##100##100##100##100##30
+* Googonsartolocta, E100##100##100##100##100##100##100##100##40
+* Googonpetolocta, E100##100##100##100##100##100##100##100##50
+* Googonextolocta, E100##100##100##100##100##100##100##100##60
+* Googoneptolocta, E100##100##100##100##100##100##100##100##70
+* Googonogdolocta, E100##100##100##100##100##100##100##100##80
+* Googonentolocta, E100##100##100##100##100##100##100##100##90
+* Bocgol, {10,10,100,8}
+* Gugolenna / gugonenna / googonhectolocta / gooemeralnona, E100##100##100##100##100##100##100##100##100
+* Octukiloogol, 10[0,8]100
+* Bwocgol, {10,10,1000,8}
+* Octibocal, Forcal<sub>1,8</sub>(1)
+* Bocgolplex, {10,10,bocgol,8}
+* Gugolenna-plexenna, E100##100##100##100##100##100##100##100##100#2
+* Corental, {10,100,1,9}
+* Graatagolenna, E100##100##100##100##100##100##100##100##100#100
+* Graatagolenna-dexenna, E100##100##100##100##100##100##100##100##100#100#2
+* Greegolenna, E100##100##100##100##100##100##100##100##100##3
+* Greegolenna-threxenna, E100##100##100##100##100##100##100##100##100#100#100#2
+* Grinningolenna, E100##100##100##100##100##100##100##100##100##4
+* Grinningolenna-tetrexenna, E100##100##100##100##100##100##100##100##100#100#100#100#2
+* Golaagolenna, E100##100##100##100##100##100##100##100##100##5
+* Golaagolenna-pentexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#2
+* Gruelohgolenna, E100##100##100##100##100##100##100##100##100##6
+* Gruelohgolenna-hexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#2
+* Gaspgolenna, E100##100##100##100##100##100##100##100##100##7
+* Gaspgolenna-heptexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#2
+* Ginorgolenna, E100##100##100##100##100##100##100##100##100##8
+* Ginorgolenna-octexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#2
+* Gargantuulenna, E100##100##100##100##100##100##100##100##100##9
+* Gargantuulenna-ennexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
+* Googondolenna, E100##100##100##100##100##100##100##100##100##10
+* Googondolenna-decexenna, E100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
+* Nonultom, <math>f_{\omega9}(10)</math>
+* Googonkosolenna, E100##100##100##100##100##100##100##100##100##20
+* Googontritolenna, E100##100##100##100##100##100##100##100##100##30
+* Googonsartolenna, E100##100##100##100##100##100##100##100##100##40
+* Googonpetolenna, E100##100##100##100##100##100##100##100##100##50
+* Googonextolenna, E100##100##100##100##100##100##100##100##100##60
+* Googoneptolenna, E100##100##100##100##100##100##100##100##100##70
+* Googonogdolenna, E100##100##100##100##100##100##100##100##100##80
+* Googonentolenna, E100##100##100##100##100##100##100##100##100##90
+* Gugoldeka / googonhectolenna / gugondeka / gooemeraldeca, E100##100##100##100##100##100##100##100##100##100
+* Ennukiloogol, 10[0,9]100
+* Bwengol, {10,10,1000,9}
+* Bengolplex, {10,10,{10,10,100,9},9}
+* Gugoldeka-plexideka, E100##100##100##100##100##100##100##100##100##100#2
+* Cordecal, {10,100,1,10}
+* Graatagoldeka, E100##100##100##100##100##100##100##100##100##100#100
+* Graatagoldeka-dexideka, E100##100##100##100##100##100##100##100##100##100#100#2
+* Greegoldeka, E100##100##100##100##100##100##100##100##100##100##3
+* Greegoldeka-threxideka, E100##100##100##100##100##100##100##100##100##100#100#100#2
+* Grinningoldeka, E100##100##100##100##100##100##100##100##100##100##4
+* Grinningoldeka-tetrexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#2
+* Golaagoldeka, E100##100##100##100##100##100##100##100##100##100##5
+* Golaagoldeka-pentexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#2
+* Gruelohgoldeka, E100##100##100##100##100##100##100##100##100##100##6
+* Gruelohgoldeka-hexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#2
+* Gaspgoldeka, E100##100##100##100##100##100##100##100##100##100##7
+* Gaspgoldeka-heptexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#2
+* Ginorgoldeka, E100##100##100##100##100##100##100##100##100##100##8
+* Ginorgoldeka-octexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#2
+* Gargantuuldeka, E100##100##100##100##100##100##100##100##100##100##9
+* Gargantuuldeka-ennexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#2
+* Googondoldeka, E100##100##100##100##100##100##100##100##100##100##10
+* Googondoldeka-decexideka, E100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100#2
+* General / tetradecal, {10,10,10,10}
+* Dekultom / bexom, <math>f_{\omega10}(10)</math>
+* Googonkosoldeka, E100##100##100##100##100##100##100##100##100##100##20
+* Googontritoldeka, E100##100##100##100##100##100##100##100##100##100##30
+* Googonsartoldeka, E100##100##100##100##100##100##100##100##100##100##40
+* Googonpetoldeka, E100##100##100##100##100##100##100##100##100##100##50
+* Googonextoldeka, E100##100##100##100##100##100##100##100##100##100##60
+* Googoneptoldeka, E100##100##100##100##100##100##100##100##100##100##70
+* Googonogdoldeka, E100##100##100##100##100##100##100##100##100##100##80
+* Googonentoldeka, E100##100##100##100##100##100##100##100##100##100##90
+* Gugolendeka / googonhectoldeka / gooemeralelevened, E100###11
+* Dekagranika, <0,10> |488
+* Bexgol / dekukiloogol, {10,10,100,10} = 10[0,10]100
+* Bwexgol, {10,10,1000,10}
+=== Part 3.10: <math>f_{\omega10}(f_3(10))</math> ~ <math>f_{\omega^2}(f_3(10))</math> ===
+* Bexgolplex, {10,10,{10,10,100,10},10}
+* Hayden's General, 10(10)(10)10
+* Iteradekis, 10[&&&&&&&&&&10] = 10[&&&&&&&&&&&]
+* Gugoldodeka / gooemeraldozed, E100###12
+* Tetradozenal, {12,12,12,12}
+* Gugoltriadeka, E100###13
+* Gugoltetradeka, E100###14
+* Gugolpentadeka, E100###15
+* Gugolhexadeka, E100###16
+* Gugolheptadeka, E100###17
+* Gugoloctadeka, E100###18
+* Gugolennadeka, E100###19
+* Troo-guppy, {10,10,10,20}
+* Gugolicosa, E100###20
+* Gugoltrianta, E100###30
+* Pete.c numbers|pete-4.c, <math>\approx f_{\omega33}(10^5)</math>
+* Gugolsaranta, E100###40
+* Troo-gogol, {10,10,10,50}
+* Gugolpeninta, E100###50
+* Chan.c numbers|chan.c, <math>\approx f_{\omega50}(10^5)</math>
+* Gugolexinta, E100###60
+* White-aster, <math>\text{Ast}[5,\langle64\rangle]</math>
+* Gugolebdominta, E100###70
+* Greps, |1|<sub>0</sub>(76)
+* Gugologdonta, E100###80
+* Troogolspeck, {10,10,10,90}
+* Gugoleneninta, E100###90
+* Throogol / throogord / gugolhecta / goohoolgol, E100###100
+* Grandogoogolplex, 10<sup>E100###100</sup>
+* Grandogoogoldex, E100#(E100###100)
+* Grandogoogolsuplex, E100##(E100###100)
+* Grandogoogolsusuplex, E100##100##(E100###100)
+* Grandogoogoltetrasuplex, E100##100##100##(E100###100)
+* Troogol / Megoogol, {10,10,10,100} = 10[0,0,1]100
+* Hektultom, <math>f_{\omega100}(10)</math>
+* Tetrahectal, {100,100,100,100}
+* Grid-hyperon, 100{X<sup>2</sup>}100
+* Astuul, #{1}((10))*100
+* Hektagranika, <0,100> |488
+* Kaboodol, <math>f\rightarrow\underbrace{10\rightarrow\ldots10\rightarrow10}_{100}(100)</math>, where f(n) = hyper(n,n,n)
+* Wakamoogol, <math>h\rightarrow\underbrace{10\rightarrow\cdots10\rightarrow10}_{\text{100 10's}}(100)</math>, where h is hyperlicious function
+* Giabollaxul, 200$1
+* Giabixul, 200![200,200] ~ {10,10,199,201}
+* Kilogiabixul, (200![200,200])![200,200] ~ {10,3,200,201}
+* Megagiabixul, ((200![200,200])![200,200])![200,200] ~ {10,4,200,201}
+* Gigagiabixul, (((200![200,200])![200,200])![200,200])![200,200] ~ {10,5,200,201}
+* Grand Giabixul, 200(![200,200])<sup>200![200,200]+1</sup> ~ {10,giabixul,200,201}
+* Grand Kilogiabixul, 200(![200,200])<sup>(200![200,200])![200,200]+1</sup> ~ {10,kilogiabixul,200,201}
+* Grand Megagiabixul, 200(![200,200])<sup>((200![200,200])![200,200])![200,200]+1</sup>
+* Grand Gigagiabixul, 200(![200,200])<sup>(((200![200,200])![200,200])![200,200])![200,200]+1</sup>
+* Bigrand Giabixul, 200(![200,200])<sup>200(![200,200])<sup>200![200,200]+1</sup>+1</sup> ~ {10,Grand Giabixul,200,201}
+* Trigrand Giabixul, 200(![200,200])<sup>200(![200,200])<sup>200(![200,200])<sup>200![200,200]+1</sup>+1</sup>+1</sup> ~ {10,4,201,201}
+* Collanika, <0,0,1>|488
+* Throogolchime, E1000###1000
+* Trwoogol, {10,10,10,1000}
+* Kilultom, <math>f_{\omega1000}(10)</math>
+* Throogoltoll, E10,000###10,000
+* Troogoltoll, {10,10,10,10000}
+* Level 5 gyatt rizz livvy dunne rizzing up baby gronk, <math>f_{\omega^2}(69420)</math>
+* Throogolgong, E100,000###100,000
+* Troogolgong, {10,10,10,100000}
+* Gugolchilia-chila / gugolmega, E100###1,000,000
+* Megultom, <math>f_{\omega1000000}(10)</math>
+* Tris-Terribocal, Forcal<sub>1,1000000</sub>(1) = Forcal<sub>1,1,2</sub>(1)
+* Gigultom, <math>f_{\omega10^9}(10)</math>
+* Terultom, <math>f_{\omega10^{12}}(10)</math>
+* Petultom, <math>f_{\omega10^{15}}(10)</math>
+* Exultom, <math>f_{\omega10^{18}}(10)</math>
+* Zettultom, <math>f_{\omega10^{21}}(10)</math>
+* Yottultom, <math>f_{\omega10^{24}}(10)</math>
+* Googolplexithird, E100###1#2
+== Quadratic omega level ==
+=== Part 3.11: <math>f_{\omega^2}(f_3(10))</math> ~ <math>f_{\omega^2 2}(f_3(10))</math> ===
+* Chainol, s(3,2,2,1,2)
+* Gugolda-plexithird, E100###2#2
+* Great gugolthra, E100###3#2
+* Tetratriplex, {3,3,1,1,2}
+* Gugoltesla-plexithird / Great gugoltesla, E100###4#2
+* Gugolpeta-plexithird / Great gugolpeta, E100###5#2
+* Gugolhexa-plexithird / Great gugolhexa, E100###6#2
+* Gugolhepta-plexithird / Great gugolhepta, E100###7#2
+* Gugolocta-plexithird / Great gugolocta, E100###8#2
+* Gugolenna-plexithird / Great gugolenna, E100###9#2
+* Gugoldeka-plexithird / Great gugoldeka, E100###10#2
+* Generalplex, {10,3,1,1,2}
+* Tetrahectalplex, {100,3,1,1,2}
+* Grand throogol / Grandogoogolgrandoplex / Throogolplexithird, E100###100#2
+* Kaboodolplex, <math>f\rightarrow\underbrace{10\rightarrow10\ldots\rightarrow10}_{\text{kaboodol}}(100)</math>, where f(n) = hyper(n,n,n)
+* Wakamoogolplex, <math>h\rightarrow\underbrace{10\rightarrow10\cdots\rightarrow10}_{\text{wakamoogol 10's}}(100)</math>, where h is hyperlicious function
+* <nowiki>Troogolplex, {10,10,10,{10,10,10,100}}</nowiki>
+* Tris-Terribocaior Tris-Terribocal, Forcal<sub>1,1,2</sub>(2)
+* Googolduplexithird, E100###1#3
+* Gugolda-duplexithird, E100###2#3
+* Gugolthra-duplexithird, E100###3#3
+* Gugoltesla-duplexithird, E100###4#3
+* Gugolpeta-duplexithird, E100###5#3
+* Chainolplex, s(3,3,2,1,2)
+* Grand grand throogol / Throogolduplexithird, E100###100#3
+* <nowiki>Troogolduplex, {10,10,10,{10,10,10,{10,10,10,100}}}</nowiki>
+* Chainolbiplex, s(3,4,2,1,2)
+* Chainoltriplex, s(3,5,2,1,2)
+* Chainolquadriplex, s(3,6,2,1,2)
+* Unadd-bexom, <math>f_{\omega^2+1}(10)</math>
+* '''Fish number 1''', <math>\approx f_{\omega^2+1}(63)</math>
+* Ungreps, |1|<sub>1</sub>(76)
+* Meg-Googol, 10[1,0,1]100
+* Cormegoporal / corgreygotial, {10,100,1,1,2}
+* Thrangol / granhoolgol, E100###100#100
+* Rexuul, #{1}* ((10))*100
+* Tris-Terribuporcal, Forcal<sub>2,1,2</sub>(1)
+* Googoldexithird, E100###1#1#2
+* Grangoldexithird, E100###100#(E100#100)
+* Greagoldexithird, E100###100#(E100#100#100)
+* Gigangoldexithird, E100###100#(E100#100#100#100)
+* Gorgegoldexithird, E100###100#(E100#100#100#100#100)
+* Gulgoldexithird, E100###100#(E100##6)
+* Gaspgoldexithird, E100###100#(E100##7)
+* Ginorgoldexithird, E100###100#(E100##8)
+* Gugolda-dexithird, E100###2#1#2
+* Graatagolda-dexithird, E100###100#(E100##100#100)
+* Greegolda-dexithird, E100###100#(E100##100#100#100)
+* Chainbol, s(3,2,3,1,2)
+* Grinningolda-dexithird, E100###100#(E100##100##4)
+* Mouffles Monster, cg<sup>G</sup>(G)
+* Gugolthra-dexithird, E100###3#1#2
+* Gugoltesla-dexithird, E100###4#1#2
+* Gugolpeta-dexithird, E100###5#1#2
+* Gugolhexa-dexithird, E100###6#1#2
+* Throogoldexithird, E100###100#1#2
+* Grand thrangol / Thrangoldexithird, E100###100#100#2
+* BOX_M̃, <math>\approx f_{\omega^2+1}(f_{\omega^2}(f_{\omega+2}(f_{\omega+1}(64))))</math>
+* Chainbolplex, s(3,3,3,1,2)
+* Badd-bexom, <math>f_{\omega^2+2}(10)</math>
+* Deugreps, |1|<sub>2</sub>(76)
+* Meg-Doogol, 10[2,0,1]100
+* Mulmegoporal / mulgreygotial, {10,100,2,1,2}
+* Threagol / greahoolgol, E100###100#100#100
+* Tris-Terribegorcal, Forcal<sub>3,1,2</sub>(1)
+* Chaintrol, s(3,2,4,1,2)
+* Grand threagol, E100###100#100#100#2
+* Chaintrolplex, s(3,3,4,1,2)
+* Troigreps, |1|<sub>3</sub>(76)
+* Thrigangol / giganhoolgol, E100###100#100#100#100
+* Tris-Terribypercal, Forcal<sub>4,1,2</sub>(1)
+* Grand thrigangol, E100###100#100#100#100#2
+* Grand coral, 3AA3
+* Powmegoporal / powergreygotial, {10,100,4,1,2}
+* Throrgegol / gorgehoolgol, E100###100##5
+* Grand throrgegol, E100###100#100#100#100#100#2
+* Tetramegoporal / tetragreygotial, {10,100,5,1,2}
+* Thrulgol / gulhoolgol, E100###100##6
+* Grand thrulgol, E100###100#100#100#100#100#100#2
+* Thraspgol, E100###100##7
+* Grand thraspgol, E100###100#100#100#100#100#100#100#2
+* Thrinorgol, E100###100##8
+* Grand thrinorgol, E100###100#100#100#100#100#100#100#100#2
+* Thrarantuul, E100###100##9
+* Grand thrarantuul, E100###100#100#100#100#100#100#100#100#100#2
+* Throogondol, E100###100##10
+* Bigreps, |2|<sub>0</sub>(76)
+* Thrugold / goolhoolda, E100###100##100 = E100###100###2
+* Aperiomegoporal, {10,10,100,1,2}
+* Meg-Kiloogol, 10[0,1,1]100
+* Gooandol, 10[&<sub>1</sub>100]
+* Astuulgold, #{1}^((10))*100
+* Tris-Terrible-Terribocal, Forcal<sub>1000000,1,2</sub>(1) = Forcal<sub>1,2,2</sub>(1)
+* Fa fel falafel, E[16]128###(100Factorial|!)##(2^89-1)
+* Coke d Lout, {10,10,{3,3,3,3},1,2}
+* Chainprimol, s(3,2,2,2,2)
+* Grand thrugold, E100###100##100#2
+* Chainprimolplex, s(3,3,2,2,2)
+* Meg-Kil-Googol, 10[1,1,1]100
+* Thraatagold / graatahoolda, E100###100##100##2
+* Chainpribol, s(3,2,3,2,2)
+* Chainpribolplex, s(3,3,3,2,2)
+* Multimegoporal, {10,100,2,2,2}
+* Threegold / greegahoolda, E100###100##100#100#100
+* Thrinningold / grinninhoolda, E100###100##100#100#100#100
+* Great coral, 3AAA3
+* Throlaagold / golaahoolda, E100###100##100#100#100#100#100
+* Thruelohgold / gruelohhoolda, E100###100##100#100#100#100#100#100
+* Thraspgold, E100###100##100##7
+* Thrinorgold, E100###100##100##8
+* Thrargantuuld, E100###100##100##9
+* Throogondold, E100###100##100##10
+* Trigreps, |3|<sub>0</sub>(76)
+* Thrugolthra / goolhoolthra, E100###100##100##100
+* Meg-Dukiloogol, 10[0,2,1]100
+* Tris-Terrible-Tribocal, Forcal<sub>1,3,2</sub>(1)
+* Chainduprimol, s(3,2,2,3,2)
+* Chainduprimolplex, s(3,3,2,3,2)
+* Cor-megoexplodal / cor-explodogotial, {10,100,1,3,2}
+* Thraatagolthra, E100###100##100##100#100
+* Chaindupribol, s(3,2,3,3,2)
+* Chaindupribolplex, s(3,3,3,3,2)
+* Threegolthra, E100###100##100##100#100#100
+* Conway's Su-tritri, 3 →<sub>3</sub> 3
+* Grand tetratri, {3,3,3,3,2}
+* Cyper coral, 3B3
+* Thrinningolthra, E100###100##100##100#100#100#100
+* Descend-hex, {6,5,4,3,2}
+* Throlaagolthra, E100###100##100##100##5
+* Thruelohgolthra, E100###100##100##100##6
+* Thraspgolthra, E100###100##100##100##7
+* Thrinorgolthra, E100###100##100##100##8
+* Thrargantuulthra, E100###100##100##100##9
+* Throogondolthra, E100###100##100##100##10
+* Thrugoltesla / goolhooltesla, E100###100##100##100##100
+* Meg-Trukiloogol, 10[0,3,1]100
+* Hph ý¢p, {345,245,{536,546},3,2}
+* Tomodachi, (22 {4, 4} 37)
+* Cor-megodetal / cordetonagotial, {10,100,1,4,2}
+* Thraatagoltesla, E100###100##100##100#100
+* Threegoltesla, E100###100##100##100##3
+* Thrinningoltesla, E100###100##100##100##4
+* Throlaagoltesla, E100###100##100##100##5
+* Thruelohgoltesla, E100###100##100##100##6
+* Tris-Terrible-Tetribocal, Forcal<sub>1,4,2</sub>(1)
+* Chaintruprimol, s(3,2,2,4,2)
+* Chaintruprimolplex, s(3,3,2,4,2)
+* Chaintrupribol, s(3,2,3,4,2)
+* Chaintrupribolplex, s(3,3,3,4,2)
+* Thrugolpeta / goolhoolpeta, E100###100###5
+* Cor-megopental / corpentonagotial, {10,100,1,5,2}
+* Thraatagolpeta, E100###100##100##100##100##2
+* Threegolpeta, E100###100##100##100##100##3
+* Thrinningolpeta, E100###100##100##100##100##4
+* A Ljónvrri = {144,28,8,5,2}
+* Thrugolhexa / goolhoolhexa, E100###100###6
+* Thraatagolhexa, E100###100##100##100##100##100##2
+* Threegolhexa, E100###100##100##100##100##100##3
+* Thrugolhepta, E100###100###7
+* Thraatagolhepta, E100###100##100##100##100##100##100##2
+* Thrugolocta, E100###100###8
+* Thraatagolocta, E100###100##100##100##100##100##100##100##2
+* Thrugolenna, E100###100###9
+* Thrugoldeka, E100###100###10
+* Grand tetradecal, {10,10,10,10,2}
+* Inspire, 10[&<sub>1</sub>&<sub>1</sub>]
+* Thrugolicosa, E100###100###20
+* Thrugoltrianta, E100###100###30
+* Thrugolsaranta, E100###100###40
+* Thrugolpeninta, E100###100###50
+* Grepss, <sup>3</sup><u>1</u><sub>0</sub>(76)
+* Throotrigol / tristo-throogol / tris-throogol / gootroolgol, E100###100###100 = E100####3
+* Duriga, s(10,100,1,1,3)
+* Triggol / Dumegoogol, {10,10,10,100,2} = 10[0,0,2]100
+* Trwiggol / triggolchime, {10,10,10,1000,2}
+* Triggoltoll, {10,10,10,10000,2}
+* Triggolgong, {10,10,10,100000,2}
+* Tris-Tribocal, Forcal<sub>1,1000000,2</sub>(1) = Forcal<sub>1,1,3</sub>(1)
+=== Part 3.12: <math>f_{\omega^2 2}(f_3(10))</math> ~ <math>f_{\omega^2 3}(f_3(10))</math> ===
+* Duchainol, s(3,2,2,1,3)
+* Grand throotrigol, E100###100###100#2
+* Triggolplex, {10,10,10,{10,10,10,100,2},2}
+* Tris-Tribocaior Tris-Tribocal, Forcal<sub>1,1,3</sub>(2)
+* Duchainolplex, s(3,3,2,1,3)
+* Dumeg-Googol, 10[1,0,2]100
+* Thrantrigol / tristo-thrangol / tris-thrangol, E100###100###100##2
+* Duchainbol, s(3,2,3,1,3)
+* Duchainbolplex, s(3,3,3,1,3)
+* Threatrigol / tristo-threagol / tris-threagol, E100###100###100##3
+* Thrigantrigol, E100###100###100##4
+* Throrgetrigol, E100###100###100##5
+* Thrultrigol, E100###100###100##6
+* Thrasptrigol, E100###100###100##7
+* Thrinortrigol, E100###100###100##8
+* Thrargantrituul, E100###100###100##9
+* Throogontridol, E100###100###100##10
+* Thrutrigold / tristo-thrugold / tris-thrugold, E100###100###100##100 = E100###100###100###2
+* Dumeg-Kiloogol, 10[0,1,2]100
+* Cor-gigotial, {10,100,1,1,3}
+* Tris-Trible-Terribocal, Forcal<sub>1,2,3</sub>(1)
+* Duchainprimol, s(3,2,2,2,3)
+* Duchainprimolplex, s(3,3,2,2,3)
+* Orca trek kit, E[56]10###10###10##80##2
+* Thraatatrigold / tristo-thraatagold / tris-thraatagold, E100###100###100##100##2
+* Duchainpribol, s(3,2,3,2,3)
+* Duchainpribolplex, s(3,3,3,2,3)
+* Threetrigold / tristo-threegold / tris-threegold, E100###100###100##100##3
+* Thrinnintrigold, E100###100###100##100##4
+* Throlaatrigold, E100###100###100##100##5
+* Thruelohtrigold, E100###100###100##100##6
+* Thrasptrigold, E100###100###100##100##7
+* Thrinortrigold, E100###100###100##100##8
+* Thrargantrituuld, E100###100###100##100##9
+* Throogontridold, E100###100###100##100##10
+* Thrutrigolthra / tristo-thrugolthra / tris-thrugolthra, E100###100###100##100##100 = E100###100###100###3
+* Dumeg-Dukiloogol, 10[0,2,2]100
+* Tris-Trible-Tribocal, Forcal<sub>1,3,3</sub>(1)
+* Duchainduprimol, s(3,2,2,3,3)
+* Duchainduprimolplex, s(3,3,2,3,3)
+* Thraatatrigolthra / tristo-thraatagolthra / tris-thraatagolthra, E100###100###100##100##100##2
+* Duchaindupribol, s(3,2,3,3,3)
+* Pententri / duchaindupribolplex, s(3,3,3,3,3)
+* Pentatri, {3,3,3,3,3}
+* Dutrearmix, [3]↤[3]↤[3]
+* TriCoral, 3G3
+* Thrutrigoltesla / tristo-thrugoltesla / tris-thrugoltesla, E100###100###100###4
+* Tris-Trible-Tetribocal, Forcal<sub>1,4,3</sub>(1)
+* Conway's Su-tritet, 4 →<sub>4</sub> 4
+* Thrutrigolpeta / tristo-thrugolpeta / tris-thrugolpeta, E100###100###100###5
+* Thrutrigolhexa / tristo-thrugolhexa / tris-thrugolhexa, E100###100###100###6
+* Admire, 10[&<sub>1</sub>&<sub>1</sub>&<sub>1</sub>]
+* Great tetradecal, {10,10,10,10,3}
+* Grepsss, <sup>4</sup><u>1</u><sub>0</sub>(76)
+* Throotergol / teristo-throogol / tessi-throogol, E100###100###100###100 = E100####4
+* Traggol / Trumegoogol, {10,10,10,100,3} = 10[0,0,3]100
+* Tri-astuul, #{1}{1}{1}((10))*100
+* Tris-Tetribocal, Forcal<sub>1,1,4</sub>(1)
+=== Part 3.13: <math>f_{\omega^2 3}(f_3(10))</math> ~ <math>f_{\omega^3}(f_3(10))</math> ===
+* Truchainol, s(3,2,2,1,4)
+* Traggolplex, {10,10,10,{10,10,10,100,3},3}
+* Truchainolplex, s(3,3,2,1,4)
+* Cor-terotial, {10,100,1,1,4}
+* Thrantergol / teristo-thrangol / tessi-thrangol, E100###100###100###100##2
+* Truchainbol, s(3,2,3,1,4)
+* Truchainbolplex, s(3,3,3,1,4)
+* Threatergol / teristo-threagol / tessi-threagol, E100###100###100###100##3
+* Thrutergold / teristo-thrugold / tessi-thrugold, E100###100###100###100##100
+* Trumeg-Kiloogol, 10[0,1,3]100
+* Truchainprimol, s(3,2,2,2,4)
+* Truchainprimolplex, s(3,3,2,2,4)
+* Thraatatergold / teristo-thraatagold / tessi-thraatagold, E100###100###100###100##100##2
+* Truchainpribol, s(3,2,3,2,4)
+* Truchainpribolplex, s(3,3,3,2,4)
+* Thrutergolthra / teristo-thrugolthra / tessi-thrugolthra, E100###100###100###100###3
+* Truchainduprimol, s(3,2,2,3,4)
+* Truchainduprimolplex, s(3,3,2,3,4)
+* Truchaindupribol, s(3,2,3,3,4)
+* Truchaindupribolplex, s(3,3,3,3,4)
+* Hayden's Pentatri, 3(3)(3)(3)3
+* Golden coral, 3D3
+* Thrutergoltesla / teristo-thrugoltesla / tessi-thrugoltesla, E100###100###100###100###4
+* Pententet, s(4,4,4,4,4)
+* Thrutergolpeta / teristo-thrugolpeta / tessi-thrugolpeta, E100###100###100###100###5
+* Conway's Su-tripent, 5 →<sub>5</sub> 5
+* Thrutergolhexa / teristo-thrugolhexa / tessi-thrugolhexa, E100###100###100###100###6
+* Desire, 10[&<sub>1</sub>&<sub>1</sub>&<sub>1</sub>&<sub>1</sub>]
+* Grepssss, <sup>5</sup><u>1</u><sub>0</sub>(76)
+* Throopetol / pesto-throogol / penri-throogol, E100###100###100###100###100 = E100####5
+* Treegol / Tetrumegoogol, {10,10,10,100,4} = 10[0,0,4]100
+* Tris-Pentibocal, Forcal<sub>1,1,5</sub>(1)
+* Thranpetol / pesto-thrangol / penri-thrangol, E100###100###100###100###100##2
+* Thrupetold / pesto-thrugold / penri-thrugold, E100###100###100###100###100##100
+* Thrupetolthra / pesto-thrugolthra / penri-thrugolthra, E100###100###100###100###100###3
+* Thrupetoltesla, E100###100###100###100###100###4
+* Thrupetolpeta, E100###100###100###100###100###5
+* Pentenpent, s(5,5,5,5,5)
+* Superpent, {5,5,5,5,5}
+* Conway's Su-trihex, 6 →<sub>6</sub> 6
+* Grep-5-s, <sup>6</sup><u>1</u><sub>0</sub>(76)
+* Throohexol / existo-throogol / exi-throogol, E100###100###100###100###100###100 = E100####6
+* Trigol / Pentumegoogol, {10,10,10,100,5} = 10[0,0,5]100
+* Tris-Hexibocal, Forcal<sub>1,1,6</sub>(1)
+* Cor-exotial / corhatotial, {10,100,1,1,6}
+* Thranhexol / existo-thrangol / exi-thrangol, E100###100###100###100###100###100##2
+* Mulhatotial, {10,100,2,1,6}
+* Thruhexold / existo-thrugold / exi-thrugold, E100###100###100###100###100###100##100
+* Thruhexolthra / existo-thrugolthra / exi-thrugolthra, E100###100###100###100###100###100###3
+* Pentenhex, s(6,6,6,6,6)
+* Hexarplex, <math>Q_{1,0,0,0}(6)</math>
+* Hayden's Pentapent, 5(5)(5)(5)5
+* Conway's Su-trisept, 7 →<sub>7</sub> 7
+* Throoheptgol / episto-throogol / epti-throogol, E100####7
+* Troggol, {10,10,10,100,6}
+* Cor-zettotial, {10,100,1,1,7}
+* Ascend-hept, {3,4,5,6,7}
+* Pentahept, {7,7,7,7,7}
+* Conway's Su-trioct, 8 →<sub>8</sub> 8
+* Throogogdol / ogisto-throogol / okti-throogol, E100####8
+* Tragol, {10,10,10,100,7}
+* Cor-yottotial, {10,100,1,1,8}
+* Conway's Su-triennet, 9 →<sub>9</sub> 9
+* Trocgol, {10,10,10,100,8}
+* Throogentol / giyottatogoogol, E100####9
+* <nowiki>Wreak oaf meson, {{12,12,12},8,8,8,8}</nowiki>
+* Trocgolplex, {10,10,10,{10,10,10,100,8},8}
+* Cor-xenotial, {10,100,1,1,9}
+* Trengol, {10,10,10,100,9}
+* Throodekol / ginovatogoogol, E100####10
+* Trengolplex, {10,10,10,{10,10,10,100,9},9}
+* Coruzotial, {10,100,1,1,10}
+* Thrudekold, E100###100###100###100###100###100###100###100###100###100##100
+* Thrudekolthra, E100###100###100###100###100###100###100###100###100###100###3
+* Thrudekoltesla, E100###100###100###100###100###100###100###100###100###100###4
+* Thrudekolpeta, E100###100###100###100###100###100###100###100###100###100###5
+* Pentadecal, {10,10,10,10,10}
+* Trexom, <math>f_{\omega^3}(10)</math>
+* Conway's Su-tridecal, 10 →<sub>10</sub> 10
+* Trexgol, {10,10,10,100,10}
+* Trexgolplex, {10,10,10,{10,10,10,100,10},10}
+* Gitenatogoogol / throoendekol, E100####11
+* Coru-uotial, {10,100,1,1,11}
+* Gitenakilotogoogol / throododekol, E100####12
+* Coru-udotial, {10,100,1,1,12}
+* Pentadozenal, {12,12,12,12,12}
+* Throotriadekol, E100####13
+* Throotetradekol, E100####14
+* Throopentadekol, E100####15
+* Throohexadekol, E100####16
+* Throogicosol, E100####20
+* Cor-dzotial, {10,100,1,1,20}
+* Throotriantol, E100####30
+* Throosarantol, E100####40
+* Throopenintol, E100####50
+* Throogexintol, E100####60
+* Fish number 2, <math>\approx f_{\omega^3}(63)</math>
+* Throogebdomintol, E100####70
+* Aya, <u>1<sup>[1]</sup></u><sub>0</sub>(76)
+* Throogogdontol, E100####80
+* Throogenenintol, E100####90
+* Quadroogolspeck, {10,10,10,10,90}
+* Quadroogolchunk, {10,10,10,10,99}
+* Tetroogol / tetroogorth / teroogol / throohectol, E100####100
+* Quadroogol / Gigoogol, {10,10,10,10,100} = 10[0,0,0,1]100
+* Pentahectal, {100,100,100,100,100}
+* Cube-hyperon, 100{X<sup>3</sup>}100
+* Galaxiol, #{2}((10))*100
+* Giatrollaxul, 200$2
+* Juice-infused SAN, s(17, 592, 186, 44, 416)
+* Juice-infused BEAF, {17, 592, 186, 44, 416}
+* Juice-infused HAN, 17(186)(44)(416)592
+* Titanika, <0,0,0,1>|488
+* Burrito, {555,555,555,555,555}
+* Throochilol, E100####1000
+* Quadrwoogol, {10,10,10,10,1000}
+* Throomyriol, E100####10,000
+* Quadroogolgong, {10,10,10,10,100000}
+* Teris-Terribocal, Forcal<sub>1,1,1000000</sub>(1) = Forcal<sub>1,1,1,2</sub>(1)
+* Throoterol, E100####10<sup>12</sup>
+* Throopettol, E100####10<sup>15</sup>
+* Throo-exol, E100####10<sup>18</sup>
+* Googolplexifourth, E100####1#2
+== Polynomial omega level ==
+=== Part 3.14: <math>f_{\omega^3}(f_3(10))</math> ~ <math>f_{\omega^3 2}(f_3(10))</math> ===
+* Throogolplexifourth, E100####2#2
+* Thrangolplexifourth, E100####(E100###100#100)
+* Thrugolda-plexifourth, E100####(E100###100##100)
+* Choinol, s(3,2,2,1,1,2)
+* Throotrigolplexifourth, E100####3#2
+* Pentatriplex, {3,3,1,1,1,2}
+* Throotergolplexifourth, E100####4#2
+* Throopetolplexifourth, E100####5#2
+* Pentadecalplex, {10,3,1,1,1,2}
+* Grand tetroogol, E100####100#2
+* <nowiki>Quadroogolplex, {10,10,10,10,{10,10,10,10,100}}</nowiki>
+* Pentahectalplex, {100,3,1,1,1,2}
+* Choinolplex, s(3,3,2,1,1,2)
+* Choinalbiplex, s(3,4,2,1,1,2)
+* Gig-Googol, 10[1,0,0,1]100
+* Corpowerinatial, {10,100,1,1,1,2}
+* Tetrangol / terangol, E100####100#100
+* Teris-Terribuporcal, Forcal<sub>2,1,1,2</sub>(1)
+* Pesty Pitt / Aluminium phosphide, {Drava,Drava,1,1,1,2}
+* Choinbol, s(3,2,3,1,1,2)
+* Choinbolplex, s(3,3,3,1,1,2)
+* Tetreagol / tereagol, E100####100#100#100
+* Teris-Terribegorcal, Forcal<sub>3,1,1,2</sub>(1)
+* C-tri, C(3, 3, 3)
+* Tetrigangol, E100####100#100#100#100
+* Tetrorgegol, E100####100##5
+* Tetrulgol, E100####100##6
+* Tetraspgol, E100####100##7
+* Tetrinorgol, E100####100##8
+* Tetrargantuul, E100####100##9
+* Tetroogondol, E100####100##10
+* C-decal, C(10, 10, 10)
+* Tetrugold / terugold, E100####100##100
+* Gig-Kiloogol, 10[0,1,0,1]100
+* Booandol, 10[&<sub>2</sub>100]
+* Teris-Terrible-Terribocal, Forcal<sub>1,2,1,2</sub>(1)
+* Choinprimol, s(3,2,2,2,1,2)
+* Choinprimolplex, s(3,3,2,2,1,2)
+* Tetraatagold / teraatagold, E100####100##100#100
+* Tetreegold / tereegold, E100####100##100#100#100
+* Tetrinningold / terinningold, E100####100##100#100#100#100
+* Corexpandainatial, {10,100,1,2,1,2}
+* Choinpribol, s(3,2,3,2,1,2)
+* Choinpribolplex, s(3,3,3,2,1,2)
+* Tetrugolthra / terugolthra, E100####100###3
+* Teris-Terrible-Tribocal, Forcal<sub>1,3,1,2</sub>(1)
+* Choinduprimol, s(3,2,2,3,1,2)
+* Choinduprimolplex, s(3,3,2,3,1,2)
+* Corexplodainatial, {10,100,1,3,1,2}
+* Choindupribol, s(3,2,3,3,1,2)
+* Choindupribolplex, s(3,3,3,3,1,2)
+* Tetrugoltesla / terugoltesla, E100####100###4
+* Teris-Terrible-Tetribocal, Forcal<sub>1,4,1,2</sub>(1)
+* Cordetodainiatial, {10,100,1,4,1,2}
+* Tetrugolpeta, E100####100###5
+* Corpentodainiatial, {10,100,1,5,1,2}
+* Tetrugolhexa, E100####100###6
+* Tetrithroogol / teri-throogol, E100####100###100
+* Gig-Megoogol, 10[0,0,1,1]100
+* Teris-Terrible-Tris-Terribocal, Forcal<sub>1,1,2,2</sub>(1)
+* Choichainol, s(3,2,2,1,2,2)
+* Choichainolplex, s(3,3,2,1,2,2)
+* Cormegodainiatial, {10,100,1,1,2,2}
+* Choichainbolplex, s(3,3,3,1,2,2)
+* Cormegoexpandatial, {10,100,2,2,2,2}
+* Choichainpribolplex, s(3,3,3,2,2,2)
+* Choichaindupribolplex, s(3,3,3,3,2,2)
+* Tetrithrootrigol / teri-tristo-throogol / teri-tris-throogol, E100####100###100###100
+* Teris-Terrible-Tris-Tribocal, Forcal<sub>1,1,3,2</sub>(1)
+* Cor-gigodainatial, {10,100,1,1,3,2}
+* Choiduchaindupribolplex, s(3,3,3,3,3,2)
+* Descenhept, {7,6,5,4,3,2}
+* Tetrithrootergol / teri-teristo-throogol / teri-tessi-throogol, E100####100###100###100###100
+* Teris-Terrible-Tris-Tetribocal, Forcal<sub>1,1,4,2</sub>(1)
+* Corterodainatial, {10,100,1,1,4,2}
+* Tetrithroopetol / teri-pesto-throogol / teri-penri-throogol, E100####100###100###100###100###100
+* Corpexodainatial, {10,100,1,1,5,2}
+* Tetrithroohexol / teri-existo-throogol / teri-exi-throogol, E100####100###100###100###100###100###100
+* Tetrithrooheptgol, E100####100####7
+* Ayaa, <u>1<sup>[2]</sup></u><sub>0</sub>(76)
+* Tetrootrigol / tristo-teroogol / tris-teroogol, E100####100####100 = E100#####3
+* Quadriggol / Dugigoogol, {10,10,10,10,100,2} = 10[0,0,0,2]100
+* Teris-Tribocal, Forcal<sub>1,1,1,3</sub>(1)
+=== Part 3.15: <math>f_{\omega^3 2}(f_3(10))</math> ~ <math>f_{\omega^4}(f_3(10))</math> ===
+* Quadriggolplex, {10,10,10,10,{10,10,10,10,100,2},2}
+* Corpowiairatial, {10,100,1,1,1,3}
+* Tetrantrigol, E100####100####100#100
+* Tetreatrigol, E100####100####100#100#100
+* Tetrutrigold, E100####100####100##100
+* Tetratrithroogol / tristo-teri-throogol / tris-teri-throogol, E100####100####100###100
+* Cormegodairatial, {10,100,1,1,2,3}
+* Tetratrithrootrigol / tristo-teri-tristo-throogol / tris-teri-tris-throogol, E100####100####100###100###100
+* Corgigodairatial, {10,100,1,1,3,3}
+* Corgigoexplodainitial, {10,100,1,3,3,3}
+* Hexentri, s(3,3,3,3,3,3)
+* Hexatri, {3,3,3,3,3,3}
+* Ayaaa, <u>1<sup>[3]</sup></u><sub>0</sub>(76)
+* Tetrootergol / teristo-teroogol / tessi-teroogol, E100####100####100####100 = E100#####4
+* Quadraggol / Trugigoogol, {10,10,10,10,100,3} = 10[0,0,0,3]100
+* Tri-galaxiol, #{2}{2}{2}((10))*100
+* Teris-Tetribocal, Forcal<sub>1,1,1,4</sub>(1)
+* Corpowiaitionatial, {10,100,1,1,1,4}
+* Tetrantergol, E100####100####100####100#100
+* Tetraterithroogol / teristo-teri-throogol / tessi-teri-throogol, E100####100####100####100###100
+* Hexentet, s(4,4,4,4,4,4)
+* Hayden's Hexatri, 3(3)(3)(3)(3)3
+* Hexatet, {4,4,4,4,4,4}
+* Ayaaaa, <u>1<sup>[4]</sup></u><sub>0</sub>(76)
+* Tetroopetol / pesto-teroogol / penri-teroogol, E100#####5
+* Quadreegol, {10,10,10,10,100,4}
+* Teris-Pentibocal, Forcal<sub>1,1,1,5</sub>(1)
+* Corpowiaientatial, {10,100,1,1,1,5}
+* Hexenpent, s(5,5,5,5,5,5)
+* Hexapent, {5,5,5,5,5,5}
+* Tetroohexol / existo-teroogol / exi-teroogol, E100#####6
+* Quadrigol, {10,10,10,10,100,5}
+* Corpowiaihexatial, {10,100,1,1,1,6}
+* Hexenhex, s(6,6,6,6,6,6)
+* Superhex, {6,6,6,6,6,6}
+* Tetrooheptgol / episto-teroogol / epti-teroogol, E100#####7
+* Quadroggol, {10,10,10,10,100,6}
+* Corpowiaiheptatial, {10,100,1,1,1,7}
+* Hayden's Hexahex / hyperhex, 6(6)(6)(6)(6)6
+* Tetroogogdol / ogisto-teroogol / okti-teroogol, E100#####8
+* Quadragol, {10,10,10,10,100,7}
+* Corpowiaioctatial, {10,100,1,1,1,8}
+* Ascendoct, {3,4,5,6,7,8}
+* Tetroogentol, E100#####9
+* Quadrocgol, {10,10,10,10,100,8}
+* Quadrocgolplex, {10,10,10,10,{10,10,10,10,100,8},8}
+* Tetroodekol, E100#####10
+* Quadrengol, {10,10,10,10,100,9}
+* Quadrengol], {10,10,10,10,{10,10,10,10,100,9},9}
+* Hexadecal, {10,10,10,10,10,10}
+* Quadrexom, <math>f_{\omega^4}(10)</math>
+* Quadrexgol, {10,10,10,10,100,10}
+* Quadrexgolplex, {10,10,10,10,{10,10,10,10,100,10},10}
+* Hexadozenal, {12,12,12,12,12,12}
+* Issou, <u>1<sup>[0,1]</sup></u><sub>0</sub>(76)
+* Pentoogol / pentoogith / petoogol, E100#####100
+* Quintoogol / Teroogol (Username5243), {10,10,10,10,10,100} = 10[0,0,0,0,1]100
+* Hectargum-quadrexom, <math>f_{\omega^4}(100)</math>
+* Hexahectal, {100,100,100,100,100,100}
+* Tessa-hyperon, 100{X<sup>4</sup>}100
+* Cosmol, #{3}((10))*100
+* Giaquadrollaxul, 200$3
+* Onion-infused BEEF, {210,42,141,113,214,300}
+* Mostranika, <0,0,0,0,1> |488
+* Quintwoogol, {10,10,10,10,10,1000}
+* Petris-Terribocal, Forcal<sub>1,1,1,1,2</sub>(1)
+=== Part 3.16: <math>f_{\omega^4}(f_3(10))</math> ~ <math>f_{\omega^\omega}(f_3(10))</math> ===
+* Hexadecalplex, {10,3,1,1,1,1,2}
+* Grand pentoogol, E100#####100#2
+* <nowiki>Quintoogolplex, {10,10,10,10,10,{10,10,10,10,10,100}}</nowiki>
+* Corheptogatial, {10,100,1,1,1,1,2}
+* Pentrangol, E100#####100#100
+* Trooandol, 10[&<sub>3</sub>100]
+* Pentugold, E100#####100##100
+* Pentithroogol, E100#####100###100
+* 冬の数, s(12, 12, 1, 2, 12, 1, 2)
+* Pentitetroogol, E100#####100####100
+* Descent-oct, {8,7,6,5,4,3,2}
+* Pentootrigol, E100#####100#####100
+* Quintiggol / Duteroogol, {10,10,10,10,10,100,2} = 10[0,0,0,0,2]100
+* Petris-Tribocal, Forcal<sub>1,1,1,1,3</sub>(1)
+* Corcuboheptogatial, {10,100,1,1,1,1,3}
+* Leudaren flashes, {3,9,1,1,3,3,3}
+* Heptatri, {3,3,3,3,3,3,3}
+* Pentootergol, E100#####100#####100#####100
+* Quintaggol, {10,10,10,10,10,100,3}
+* Petris-Tetribocal, Forcal<sub>1,1,1,1,4</sub>(1)
+* Cortessoheptogatial, {10,100,1,1,1,1,4}
+* Hayden's Heptatri, 3(3)(3)(3)(3)(3)3
+* Pentoopetol, E100#####100#####100#####100#####100 = E100######5
+* Quinteegol, {10,10,10,10,10,100,4}
+* Corpentoheptogatial, {10,100,1,1,1,1,5}
+* Quintigol, {10,10,10,10,10,100,5}
+* Supersept, {7,7,7,7,7,7,7}
+* Quintagol, {10,10,10,10,10,100,7}
+* Hayden's Heptahept / hyperhept, 7(7)(7)(7)(7)(7)7
+* Ascendenn, {3,4,5,6,7,8,9}
+* Heptadecal, {10,10,10,10,10,10,10}
+* Quintexom, <math>f_{\omega^5}(10)</math>
+* Lower wun, {1111!,11,1,1,1,11!,11}
+* Issouplex, <u>1<sup>[0,0,1]</sup></u><sub>0</sub>(76)
+* Hexoogol / hexoogixth / ectoogol, E100######100
+* Sextoogol / Petoogol (Username5243), {10,10,10,10,10,10,100} = 10[0,0,0,0,0,1]100
+* Heptahectal, {100,100,100,100,100,100,100}
+* Peta-hyperon, 100{X<sup>5</sup>}100
+* Hyperiol, #{4}((10))*100
+* Sextwoogol, {10,10,10,10,10,10,1000}
+* Ectris-Terribocal, Forcal<sub>1,1,1,1,1,2</sub>(1)
+* Grand hexoogol, E100######100#2
+* Hexangol, E100######100#100
+* Hexithrinorgol / Kilts en vos, E100######100###100##8
+* Descenenn, {9,8,7,6,5,4,3,2}
+* Hexootrigol, E100######100######100
+* Sextiggol, {10,10,10,10,10,10,100,2}
+* Ectris-Tribocal, Forcal<sub>1,1,1,1,1,3</sub>(1)
+* Octatri, {3,3,3,3,3,3,3,3}
+* Sextaggol, {10,10,10,10,10,10,100,3}
+* Ectris-Tetribocal, Forcal<sub>1,1,1,1,1,4</sub>(1)
+* Hayden's Octatri, 3(3)(3)(3)(3)(3)(3)3
+* Sexteegol, {10,10,10,10,10,10,100,4}
+* Sextigol, {10,10,10,10,10,10,100,5}
+* Bairn and Ride, {14,14,14,53,2,5,3,8}
+* Superoct, {8,8,8,8,8,8,8,8}
+* Chicken chasseur, {3,6,1,1,1,1,4,9}
+* Hyperogd, 8(8)(8)(8)(8)(8)(8)8
+* Ascend-deck, {3,4,5,6,7,8,9,10}
+* Octadecal, {10,10,10,10,10,10,10,10}
+* Sextexom, <math>f_{\omega^6}(10)</math>
+* Issouduplex, <u>1<sup>[0,0,0,1]</sup></u><sub>0</sub>(76)
+* Heptoogol / heptoogenth / zettoogol, E100#######100
+* Septoogol / Ectoogol (Username5243), {10,10,10,10,10,10,10,100} = 10[0,0,0,0,0,0,1]100
+* Ultrol, #{5}((10))*100
+* Septwoogol, {10,10,10,10,10,10,10,1000}
+* Zetris-Terribocal, Forcal<sub>1,1,1,1,1,1,2</sub>(1)
+* Grand heptoogol, E100#######100#2
+* Heptrangol, E100#######100#100
+* Ultra-galaxiol, #{5}{2}((10))*100
+* Ultra-cosmol, #{5}{3}((10))*100
+* Ultra-hyperiol, #{5}{4}((10))*100
+* Pentooandol, 10[&<sub>5</sub>100]
+* Heptootrigol, E100#######100#######100
+* Septiggol, {10,10,10,10,10,10,10,100,2}
+* Bi-ultrol, #{5}{5}((10))*100
+* Ultra-hyper-cosmo-galaxi-cosmo-hyper-ultrol, #{5}{4}{3}{2}{3}{4}{5}((10))*100
+* Zetris-Tribocal, Forcal<sub>1,1,1,1,1,1,3</sub>(1)
+* Enneatri, {3,3,3,3,3,3,3,3,3}
+* Tri-ultrol, #{5}{5}{5}((10))*100
+* Heptootergol, E100#######100#######100#######100
+* Septaggol, {10,10,10,10,10,10,10,100,3}
+* Zetris-Tetribocal, Forcal<sub>1,1,1,1,1,1,4</sub>(1)
+* Hayden's Ennatri, 3(3)(3)(3)(3)(3)(3)(3)3
+* Superenn, {9,9,9,9,9,9,9,9,9}
+* Hyperenn, 9(9)(9)(9)(9)(9)(9)(9)9
+* Ennadecal, {10,10,10,10,10,10,10,10,10}
+* Septexom, <math>f_{\omega^7}(10)</math>
+* Issoutriplex, <u>1<sup>[0,0,0,0,1]</sup></u><sub>0</sub>(76)
+* Ogdoogol / yottoogol, E100########100
+* Octoogol / Zettoogol (Username5243), {10,10,10,10,10,10,10,10,100} = 10[0,0,0,0,0,0,0,1]100
+* Octwoogol, {10,10,10,10,10,10,10,10,1000}
+* Yotris-Terribocal, Forcal<sub>1,1,1,1,1,1,1,2</sub>(1)
+* Ogdahepti-hexapenti-tetrithroogol / yotti-zetti-ecti-peti-teri-throogol, E100########100#######100######100#####100####100###100
+* Yotris-Tribocal, Forcal<sub>1,1,1,1,1,1,1,3</sub>(1)
+* Ogdatri-hexi-pentateri-tetrapetithrinortrigolthra / tristo-yotti-ecti-teristo-peti-pesto-teri-tristo-thrinorgolthra / tris-yotti-ecti-tessi-peti-penri-teri-tris-thrinorgolthra, E100########100########100######100#####100#####100#####100####100####100####100####100###100###100##100##100##8
+* Decatri, {3,3,3,3,3,3,3,3,3,3}
+* Yotris-Tetribocal, Forcal<sub>1,1,1,1,1,1,1,4</sub>(1)
+* Hayden's Dekatri, 3(3)(3)(3)(3)(3)(3)(3)(3)3
+* '''Iteral''' / superdecal, {10,10,10,10,10,10,10,10,10,10} = {10,10 (1) 2}
+* Octexom, <math>f_{\omega^8}(10)</math>
+* Hyperdecal / hiteral, 10(10)(10)(10)(10)(10)(10)(10)(10)10
+* Entoogol, E100#########100
+* Nonoogol / Yottoogol (Username5243), {10,10,10,10,10,10,10,10,10,100} = 10[0,0,0,0,0,0,0,0,1]100
+* Nonwoogol, {10,10,10,10,10,10,10,10,10,1000}
+* Undecatri, {3,3,3,3,3,3,3,3,3,3,3}
+* Nonexom, <math>f_{\omega^9}(10)</math>
+* Wun, {1111!!,11!!!,11!,11!!!!,11!!!,11111!,1,1,1,11!,11}
+* Dektoogol, E100##########100
+* Decoogol / Xennoogol, {10,10,10,10,10,10,10,10,10,10,100} = 10[0,0,0,0,0,0,0,0,0,1]100
+* Decwoogol, {10,10,10,10,10,10,10,10,10,10,1000}
+* Dodecatri, {3,3,3,3,3,3,3,3,3,3,3,3}
+* Dektadekientadekiogdadekiheptadekihexadekipentadekitetradekithrooogondekoldeka, E100##########100##########100##########100##########100##########100##########100##########100##########100##########100#########100#########100#########100#########100#########100#########100#########100#########100#########100########100########100########100########100########100########100########100########100########100#######100#######100#######100#######100#######100#######100#######100#######100#######100######100######100######100######100######100######100######100######100######100#####100#####100#####100#####100#####100#####100#####100#####100#####100####100####100####100####100####100####100####100####100####100###100###100###100###100###100###100###100###100###100##100##100##100##100##100##100##100##100##100#100#100#100#100#100#100#100#100#100
+* Dekexom / bitetrom, <math>f_{\omega^{10}}(10)</math>
+* Superdozen, {12,12,12,12,12,12,12,12,12,12,12,12}
+* Endektoogol, E100#^#11
+* Wekoogol, 10[0,0,0,0,0,0,0,0,0,0,1]100
+* Pete.c numbers|pete-5.c, <math>\approx f_{\omega^{11}}^{16}(999)</math>
+* Dekooandol, 10[&<sub>10</sub>100]
+* Shiki no kazu|秋の数, 100![9, 10, 11]
+* Shiki no kazu|春の数, {3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5, 3, 4, 5}
+* Superhexadecal, {16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16}
+* Icosolus, E100#^#20
+* Vigintoogol, {10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,100}
+* Pete.c numbers|pete-6.c, <math>\approx f_{\omega^{23}}(9\times2^{9999})</math>
+* Ultatri, {3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3}
+* Hayden's Dupertri, 3(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)(3)3
+* Linel, s(3,2,2{2}2)
+* Triantolus, E100#^#30
+* Trigintoogol, {10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,100}
+* Supernifty, {36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36}
+* Sarantolus, E100#^#40
+* Quadragintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (41 entries)
+* Penintolus, E100#^#50
+* Quinquagintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (51 entries)
+* Okojo numbers|Okojo-stoat number, <math>\approx f_{\omega^\omega}(53)</math>
+* Exintolus, E100#^#60
+* Sexagintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (61 entries)
+* Ebdomintolus, E100#^#70
+* Septuagintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (71 entries)
+* Lvapofr, <u>1<sup>[(2)[1</sup></u><sub>0</sub>(76)
+* Ogdontolus, E100#^#80
+* Octogintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (81 entries)
+* Goobolspeck, {10,90 (1) 2}
+* Enenintolus, E100#^#90
+* Nonagintoogol, {10,10,10,10,10, ... ... ,10,10,10,10,10,100} (91 entries)
+* Goobolcrumb, {10,95 (1) 2}
+* Goobolchunk, {10,99 (1) 2}
+* Ternary-goobol, {4, 100 (1) 2}
+* Octal-goobol, {8, 100 (1) 2}
+* Hexadecimal-goobol, {16, 100 (1) 2}
+* Goobol, {10,100 (1) 2}
+* Hay-Goobol, 10(10)(10)(10) ... (10)(10)(10)10 (98 (10)'s)
+* Godgahlah / hectolus, E100#^#100
+* Linoogol, 10[0{1}1]100
+* Goobolbunch, {10,101 (1) 2}
+* Centoogol, {10,10,10,10,10,...,10,10,10,10,10,100} (101 entries)
+* Godsoogol, 10[&<sub>100</sub>10]
+* Hektexom, <math>f_{\omega^{100}}(10)</math>
+* Hyper-hyperon, 100{X<sup>X</sup>}100
+* Titanicol / centrol, #{0:1}((10))*100
+* Angelah, E111#^#111
+* Goobolswarm, {10,110 (1) 2}
+* Yan Grrrls, E2023#^(180)(Qami Qami) = E2023#^(180)(E2021#224)
+* Ducentoogol, {10,10,10,10,10,...,10,10,10,10,10,100} (201 entries)
+* Hugedollaxul, <math>200\$[0]</math>
+* Giatrixul, 200![200,200,200] ~ {10,203 (1) 2}
+* Kilogiatrixul, (200![200,200,200])![200,200,200]
+* Megagiatrixul, ((200![200,200,200])![200,200,200])![200,200,200]
+* Gigagiatrixul, (((200![200,200,200])![200,200,200])![200,200,200])![200,200,200]
+* Grand Giatrixul, 200(![200,200,200])<sup>200![200,200,200]+1</sup>
+* Grand Kilogiatrixul, 200(![200,200,200])<sup>(200![200,200,200])![200,200,200]+1</sup>
+* Grand Megagiatrixul, 200(![200,200,200])<sup>((200![200,200,200])![200,200,200])![200,200,200]+1</sup>
+* Grand Gigagiatrixul, 200(![200,200,200])<sup>(((200![200,200,200])![200,200,200])![200,200,200])![200,200,200]+1</sup>
+* Bigrand Giatrixul, 200(![200,200,200])<sup>200(![200,200,200])<sup>200![200,200,200]+1</sup>+1</sup>
+* Trigrand Giatrixul, 200(![200,200,200])<sup>200(![200,200,200])<sup>200(![200,200,200])<sup>200![200,200,200]+1</sup>+1</sup>+1</sup>
+* The linearity, {10,10,10,10,10,...,10,10,10,10,10,100} (235 entries)
+* Ultratri, 3(3)(3)(3...(3)(3)(3)3 (333 (3)'s)
+* Goobolding, {10,500 (1) 2}
+* Nether Update, <math>f_{\omega^{\omega}}(576)</math>
+* Devilgahlah, E666#^#666
+* Goobolchime, {10,1000 (1) 2}
+* Chilliatolus, E100#^#1000
+* Milloogol, {10,10,10,10,10,...,10,10,10,10,10,100} (1,001 entries)
+* Godgahlahchime, E1000#^#1000
+* Kilexom, <math>f_{\omega^{1000}}(10)</math>
+* Goobolbell, {10,5000 (1) 2}
+* Gooboltoll, {10,10000 (1) 2}
+* Myriatolus, E100#^#10000
+* Godgahlahtoll, E10000#^#10000
+* Ice spice what the dog doin skibbidy toilet in real life (only in ohio), <math>f_{\omega^{69420}}(69420)</math>
+* Goobolgong, {10,100000 (1) 2}
+* Godgahlahgong, E100000#^#100000
+* Superis-Terribocal, Forcal<sub>1[2]2</sub>(1)
+* Microogol, {10,10,10,10,10,...,10,10,10,10,10,100} (1,000,001 entries)
+* Megexom, <math>f_{\omega^{1000000}}(10)</math>
+* Goobolbong, {10,100000000 (1) 2}
+* Gigexom, <math>f_{\omega^{10^9}}(10)</math>
+* Goobolthrong, {10,10<sup>11</sup> (1) 2}
+* Terexom, <math>f_{\omega^{10^{12}}}(10)</math>
+* Goobolgandingan, {10,10<sup>14</sup> (1) 2}
+* Petexom, <math>f_{\omega^{10^{15}}}(10)</math>
+* Exexom, <math>f_{\omega^{10^{18}}}(10)</math>
+* Zettexom, <math>f_{\omega^{10^{21}}}(10)</math>
+* Yottexom, <math>f_{\omega^{10^{24}}}(10)</math>
+* Array reversed zootzoot, <math>\{3,4,5,6,7,\ldots \ldots \ldots,10^{100}-3,10^{100}-2,10^{100}-1,10^{100}\}</math>
+* Array zootzoot, <math>\{10^{100},10^{100}-1,10^{100}-2,10^{100}-3,\ldots \ldots \ldots,6,5,4,3,2\}</math>
+* Goobo-googol, {10,googol(1)2}
+* Googahlah, E100#^#(10<sup>100</sup>)
+* Googoloogol, {10,10,10,10,10,...,10,10,10,10,10,100} (10<sup>100</sup>+1 entries)
+* Deckgoobol, {10,{10,10,2}(1)2}
+== Exponentiated linear omega level ==
+=== Part 3.17: <math>f_{\omega^\omega}(f_3(10))</math> ~ <math>f_{\omega^\omega + \omega}(f_3(10))</math> ===
+* pete-7.c, <math>f_{\omega^\omega}(2\uparrow\uparrow36)</math>
+* Goobo-giggol, {10,{10,100,2}(1)2}
+* Dupertri, {3,3,2 (1) 2}
+* Duperdecal, {10,3,2 (1) 2}
+* Linelplex, s(3,3,2{2}2)
+* Hayden's Trupertri, 3(3)(3)(3) ... (3)(3)(3)3 (Hayden's Dupertri 3's)
+* Goobolplex, {10,{10,100 (1) 2} (1) 2}
+* Duperhect, {100,3,2(1)2}
+* Grand godgahlah, E100#^#100#2
+* Goobolplexigong, {10,{10,100000(1)2}(1)2}
+* Grand godgahlahgong, E100000#^#100000#2
+* Trupertri, {3,4,2(1)2}
+* Truperdecal, {10,4,2 (1) 2}
+* Goobolduplex, {10, {10, {10, 100 (1) 2} (1) 2} (1) 2}
+* Truperhect, {100,4,2(1)2}
+* Grand grand godgahlah / two-ex-grand godgahlah, E100#^#100#3
+* Goobolduplexigong, {10,{10,{10,{10,100000(1)2}(1)2}(1)2}(1)2}
+* Grand grand godgahlahgong, E100000#^#100000#3
+* Quadruperdecal, {10,5,2 (1) 2}
+* Gooboltriplex, {10, goobolduplex (1) 2}
+* Grand grand grand godgahlah / three-ex-grand godgahlah, E100#^#100#4
+* Quintuperdecal, {10,6,2 (1) 2}
+* Grand grand grand grand godgahlah / four-ex-grand godgahlah, E100#^#100#5
+* Goobolquintiplex, {10, goobolquadriplex (1) 2}
+* Gooboldeciplex, {10, goobolnoniplex (1) 2}
+* Goobolvigintiplex, {10, goobolnovemdeciplex (1) 2}
+* Gooboltrigintiplex, {10, goobolnovemvigintiplex (1) 2}
+* Goobolquinquagintiplex, {10, goobolnovemquadragintiplex (1) 2}
+* Gibbol, {10,100,2 (1) 2}
+* Lin-Googol, 10[1{1}1]100
+* Grandgahlah, E100#^#100#100
+* Titanicoltrex, #{0:1}* ((10))*100
+* Goobolcentiplex, {10, goobolnovemnonagintiplex (1) 2}
+* Hundred-ex-grand godgahlah, E100#^#100#101
+* Gibbolchime, {10,1000,2(1)2}
+* Goobolmilliplex, {10, goobolnovemnonagintinongentiplex (1) 2}
+* Eleven-thousand-eight-hundred-sixty-two-ex-grand godgahlahgong, E100000#^#100000#11863
+* Gibbolgong, {10,100000,2(1)2}
+* Grandgahlahgong, E100,000#^#100,000#100,000
+* Goobolmegaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,001 times)
+* Goobolgigaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,000,001 times)
+* Goobolteraplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,000,000,001 times)
+* Goobolpetaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10<sup>15</sup> + 1 times)
+* Goobolexaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10<sup>18</sup> + 1 times)
+* Goobolzettaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10<sup>21</sup> + 1 times)
+* Goobolyottaplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10<sup>24</sup> + 1 times)
+* Superis-Terribuporcal, Forcal<sub>2[2]2</sub>(1)
+* Godgahlah-ex-grand godgahlah, E100#^#100#(1+E100#^#100)
+* Gooboldex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol times)
+* Gooboldexiplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol + 1 times)
+* Gooboldexiduplex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol + 2 times)
+* Goobolplexidex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolplex times)
+* Goobolduplexidex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolduplex times)
+* Gibbolplex, {10,{10,100,2 (1) 2},2 (1) 2}
+* Grand grandgahlah, E100#^#100#100#2
+* Gooboldudex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (gooboldex times)
+* Grand grand grandgahlah, E100#^#100#100#3
+* Gooboltridex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (gooboldudex times)
+* Goobolquintidex, {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolquadridex times)
+* Latri, {3,3,3 (1) 2}
+* Lintrienel, s(3,3,3{2}2)
+* Gabbol, {10,100,3 (1) 2}
+* Lin-Doogol, 10[2{1}1]100
+* Greagahlah, E100#^#100#100#100
+* Gabbolgong, {10,100000,3(1)2}
+* Greagahlahgong, E100,000#^#100,000#100,000#100,000
+* Goobolthrex
+* Goobolthrexiplex
+* Goobolplexithrex
+* Gooboldexithrex
+* Gabbolplex, {10,{10,100,3 (1) 2},3 (1) 2}
+* Grand greagahlah, E100#^#100#100#100#2
+* Goobolduthrex
+* Gooboltrithrex
+* Superis-Terribmegocal, Forcal<sub>3[2]2</sub>(1)
+* Lower latet, {4,4,4(1)2}
+* Geebol, {10,100,4 (1) 2}
+* Gigangahlah, E100#^#100#100#100#100
+* Geebolgong, {10,100000,4(1)2}
+* Grand gigangahlah, E100#^#100#100#100#100#2
+* Superis-Terribypercal, Forcal<sub>4[2]2</sub>(1)
+* Gibol, {10,100,5 (1) 2}
+* Gorgegahlah, E100#^#100#100#100#100#100
+* Grand gorgegahlah, E100#^#100#100#100#100#100#2
+* Gobbol, {10,100,6 (1) 2}
+* Gulgahlah, E100#^#100#100#100#100#100#100
+* Grand gulgahlah, E100#^#100#100#100#100#100#100#2
+* Gabol, {10,100,7 (1) 2}
+* Gaspgahlah, E100#^#100##7
+* Gocbol, {10,100,8(1)2}
+* Ginorgahlah, E100#^#100##8
+* Genbol, {10,100,9(1)2}
+* Gargangahlah, E100#^#100##9
+* Tridecbol, {10,10,10(1)2}
+* Gexbol, {10,100,10(1)2}
+* Googongahlah, E100#^#100##10
+* Beggard antre khi, (0)(1)(2)(3)(1)(2)[15]
+* Boobol, {10,10,100 (1) 2}
+* Woobol, {10,100,100(1)2}
+* Gugoldgahlah, E100#^#100##100
+* Lin-Kiloogol, 10[0,1{1}1]100
+* Wibbol, {10,100,200(1)2}
+* Wabbol, {10,100,300(1)2}
+* Weebol, {10,100,400(1)2}
+* Wibol, {10,100,500(1)2}
+* Wobbol, {10,100,600(1)2}
+* Wabol, {10,100,700(1)2}
+* Bwoobol, {10,10,1000(1)2}
+* Boobolplex, {10,10,{10,10,100 (1) 2} (1) 2}
+* Grand gugoldgahlah, E100#^#100##100#2
+=== Part 3.18: <math>f_{\omega^\omega + \omega}(f_3(10))</math> ~ <math>f_{\omega^\omega 2}(f_3(10))</math> ===
+* Corboral, {10,100,1,2(1)2}
+* Graatagoldgahlah, E100#^#100##100#100
+* Titanicolgoltrex, #{0:1}^* ((10))*100
+* Greegoldgahlah, E100#^#100##100#100#100
+* Grinningoldgahlah, E100#^#100##100#100#100#100
+* Golaagoldgahlah, E100#^#100##100#100#100#100#100
+* Gruelohgoldgahlah, E100#^#100##100##6
+* Gaspgoldgahlah, E100#^#100##100##7
+* Ginorgoldgahlah, E100#^#100##100##8
+* Gargantuuldgahlah, E100#^#100##100##9
+* Googondoldgahlah, E100#^#100##100##10
+* Gugolthragahlah, E100#^#100##100##100
+* Bibbol, {10,10,100,2 (1) 2}
+* Graatagolthragahlah, E100#^#100##100##100#100
+* Greegolthragahlah, E100#^#100##100##100#100#100
+* Lintetenel, s(3,3,3,3{2}2)
+* Grinningolthragahlah, E100#^#100##100##100#100#100#100
+* Golaagolthragahlah, E100#^#100##100##100##5
+* Gruelohgolthragahlah, E100#^#100##100##100##6
+* Gugolteslagahlah, E100#^#100##100##100##100
+* Babbol, {10,10,100,3 (1) 2}
+* Graatagolteslagahlah, E100#^#100##100##100##100#100
+* Greegolteslagahlah, E100#^#100##100##100#100##100#100
+* First row supertet / latet {4,4,4,4(1)2} = {4,4(1)3}
+* Gugolpetagahlah, E100#^#100###5
+* Beebol, {10,10,100,4 (1) 2}
+* Gugolhexagahlah, E100#^#100###6
+* Bibol, {10,10,100,5 (1) 2}
+* Gugolheptagahlah, E100#^#100###7
+* Bobbol, {10,10,100,6 (1) 2}
+* Gugoloctagahlah, E100#^#100###8
+* Babol, {10,10,100,7 (1) 2}
+* Gugolennagahlah, E100#^#100###9
+* Bocbol, {10,10,100,8(1)2}
+* Gugoldekagahlah, E100#^#100###10
+* Benbol, {10,10,100,9(1)2}
+* Generadual, {10,10,10,10(1)2}
+* Bexbol, {10,10,100,10(1)2}
+* Throogahlah / throogogahlah, E100#^#100###100
+* Troobol, {10,10,10,100 (1) 2}
+* Lin-Megoogol, 10[0,0,1{1}1]100
+* Titanic Astuul, #{0:1}{1}((10))*100
+* Trwoobol, {10,10,10,1000(1)2}
+* Grand throogahlah, E100#^#100###100#2
+* Troobolplex, {10,10,10,{10,10,10,100 (1) 2} (1) 2}
+* Thrangahlah, E100#^#100###100#100
+* Cormegotidual, {10,100,1,1,2(1)2}
+* Threagahlah, E100#^#100###100#100#100
+* Thrigangahlah, E100#^#100###100#100#100#100
+* Thrugoldgahlah, E100#^#100###100##100
+* Thraatagoldgahlah, E100#^#100###100##100#100
+* Thrugolthragahlah, E100#^#100###100##100##100
+* Thrugolteslagahlah, E100#^#100###100##100##100##100
+* Throotrigahlah, E100#^#100###100###100
+* Tribbol, {10,10,10,100,2 (1) 2}
+* Linpentenel, s(3,3,3,3,3{2}2)
+* Throotergahlah, E100#^#100###100###100###100
+* Trabbol, {10,10,10,100,3 (1) 2}
+* Throopetogahlah, E100#^#100###100###100###100###100
+* First row superpent / lapent, {5,5(1)3}
+* Throohexogahlah, E100#^#100####6
+* Throoheptogahlah, E100#^#100####7
+* Throogogdogahlah, E100#^#100####8
+* Throogentogahlah, E100#^#100####9
+* Trocbol, {10,10,10,100,8(1)2}
+* Throodekogahlah, E100#^#100####10
+* Trenbol, {10,10,10,100,9(1)2}
+* Pentadecadual / trexbol, {10,10,10,10,10(1)2}
+* Tetroogahlah / teroogahlah / teroogogahlah, E100#^#100####100
+* Quadroobol, {10,10,10,10,100 (1) 2}
+* Lin-Gigoogol, 10[0,0,0,1{1}1]100
+* Titanic Galaxiol, #{0:1}{2}((10))*100
+* Quadrwoobol, {10,10,10,10,1000(1)2}
+* Tetrangahlah, E100#^#100####100#100
+* Tetrugoldgahlah, E100#^#100####100##100
+* Tetrithroogahlah, E100#^#100####100###100
+* Tetrootrigahlah, E100#^#100####100####100
+* Quadribbol, {10,10,10,10,100,2 (1) 2}
+* Tetrootergahlah, E100#^#100####100####100####100
+* Quadrabbol, {10,10,10,10,100,3 (1) 2}
+* Tetroopetogahlah, E100#^#100####100####100####100####100
+* Tetroohexogahlah, E100#^#100#####6
+* Tetrooheptogahlah, E100#^#100#####7
+* Tetroogogdogahlah, E100#^#100#####8
+* Pentoogahlah / petoogahlah / petoogogahlah, E100#^#100#####100
+* Quintoobol, {10,10,10,10,10,100 (1) 2}
+* Titanic Cosmol, #{0:1}{3}((10))*100
+* Quintwoobol, {10,10,10,10,10,1000(1)2}
+* Pentootrigahlah, E100#^#100#####100#####100
+* Pentootergahlah, E100#^#100#####100#####100#####100
+* Pentoopetogahlah, E100#^#100#####100#####100#####100#####100
+* Hexoogahlah / ectoogahlah / ectoogogahlah, E100#^#100######100
+* Sextoobol, {10,10,10,10,10,10,100 (1) 2}
+* Titanic Hyperiol, #{0:1}{4}((10))*100
+* Sextwoobol, {10,10,10,10,10,10,1000(1)2}
+* Heptoogahlah / zettoogahlah / zettoogogahlah, E100#^#100#######100
+* Septoobol, {10,10,10,10,10,10,10,100 (1) 2}
+* Septwoobol, {10,10,10,10,10,10,10,1000(1)2}
+* Ogdoogahlah / yottoogahlah / yottoogogahlah, E100#^#100########100
+* Octoobol, {10,10,10,10,10,10,10,10,100 (1) 2}
+* Octwoobol, {10,10,10,10,10,10,10,10,1000(1)2}
+* Entoogahlah, E100#^#100#^#9
+* Nonwoobol, {10,10,10,10,10,10,10,10,10,1000(1)2}
+* Dektoogahlah, E100#^#100#^#10
+* Decoobol, {10,10,10,10,10,10,10,10,10,10,100(1)2}
+* Lvapofrbi, <u>1<sup>[(3)[1</sup></u><sub>0</sub>(76)
+* Gootrol, {10,100 (1) 3}
+* Gotrigahlah, E100#^#100#^#100
+* Dulinoogol, 10[0{1}2]100
+* Gootrolplex, {10,{10,100 (1) 3} (1) 3}
+=== Part 3.19: <math>f_{\omega^\omega 2}(f_3(10))</math> ~ <math>f_{\omega^{\omega+1}}(f_3(10))</math> ===
+* Dulinel, s(3,2,2{2}3)
+* Dulinelplex, s(3,3,2{2}3)
+* Gitrol, {10,100,2 (1) 3}
+* Dulin-Googol, 10[1{1}2]100
+* Grangotrigahlah / grantrigahlah, E100#^#100#^#100#100
+* Dulintrienel, s(3,3,3{2}3)
+* Gatrol, {10,100,3 (1) 3}
+* Greagotrigahlah / greatrigahlah, E100#^#100#^#100#100#100
+* Geetrol, {10,100,4 (1) 3}
+* Gigangotrigahlah / gigantrigahlah, E100#^#100#^#100#100#100#100
+* Gietrol, {10,100,5 (1) 3}
+* Gorgegotrigahlah / gorgetrigahlah, E100#^#100#^#100#100#100#100#100
+* Gotrol, {10,100,6 (1) 3}
+* Gulgotrigahlah / gultrigahlah, E100#^#100#^#100##6
+* Gaitrol, {10,100,7 (1) 3}
+* Gaspgotrigahlah / gasptrigahlah, E100#^#100#^#100##7
+* Goctrol, {10,100,8(1)3}
+* Ginorgotrigahlah, E100#^#100#^#100##8
+* Gentrol, {10,100,9(1)3}
+* Gargangotrigahlah, E100#^#100#^#100##9
+* Gextrol, {10,100,10(1)3}
+* Googongotrigahlah, E100#^#100#^#100##10
+* Bootrol, {10,10,100 (1) 3}
+* Wootrol, {10,100,100(1)3}
+* Gugoldgotrigahlah / gugoldtrigahlah, E100#^#100#^#100##100
+* Bwootrol, {10,10,1000(1)3}
+* Graatagoldgotrigahlah, E100#^#100#^#100##100#100
+* Greegoldgotrigahlah, E100#^#100#^#100##100#100#100
+* Grinningoldgotrigahlah, E100#^#100#^#100##100#100#100#100
+* Golaagoldgotrigahlah, E100#^#100#^#100##100#100#100#100#100
+* Gugolthragotrigahlah, E100#^#100#^#100##100##100
+* Bitrol, {10,10,100,2 (1) 3}
+* Dulintetenel, s(3,3,3,3{2}3)
+* Batrol, {10,10,100,3 (1) 3}
+* Beetrol, {10,10,100,4 (1) 3}
+* Throogotrigahlah / throotrigahlah, E100#^#100#^#100###100
+* Trootrol, {10,10,10,100 (1) 3}
+* Trwootrol, {10,10,10,1000(1)3}
+* Thrangotrigahlah, E100#^#100#^#100###100#100
+* Threagotrigahlah, E100#^#100#^#100###100#100#100
+* Thrugoldgotrigahlah, E100#^#100#^#100###100##100
+* Thrugolthragotrigahlah, E100#^#100#^#100###100##100##100
+* Throotrigotrigahlah, E100#^#100#^#100###100###100
+* Tritrol, {10,10,10,100,2 (1) 3}
+* Throotergotrigahlah, E100#^#100#^#100####4
+* Tritrol, {10,10,10,100,3 (1) 3}
+* Throopetotrigahlah, E100#^#100#^#100####5
+* Throohexotrigahlah, E100#^#100#^#100####6
+* Tetroogotrigahlah / terootrigahlah / teroogotrigahlah, E100#^#100#^#100####100
+* Quadrootrol, {10,10,10,10,100 (1) 3}
+* Tetrootrigotrigahlah, E100#^#100#^#100####100####100
+* Tetrootergotrigahlah, E100#^#100#^#100#####4
+* Tetroopetotrigahlah, E100#^#100#^#100#####5
+* Pentoogotrigahlah / petootrigahlah / petoogotrigahlah, E100#^#100#^#100#####100
+* Quintootrol, {10,10,10,10,10,100 (1) 3}
+* Pentootrigotrigahlah, E100#^#100#^#100######3
+* Hexoogotrigahlah / ectootrigahlah / ectoogotrigahlah, E100#^#100#^#100######100
+* Heptoogotrigahlah / zettootrigahlah / zettoogotrigahlah, E100#^#100#^#100#######100
+* Ogdoogotrigahlah / yottootrigahlah / yottoogotrigahlah, E100#^#100#^#100########100
+* Entoogotrigahlah / ronnootrigahlah / ronnogotrigahlah,, E100#^#100#^#100#^#9
+* Dektoogotrigahlah / quettootrigahlah / quettoogotrigahlah,, E100#^#100#^#100#^#10
+* Lvapofrtri, <u>1<sup>[(4)[1</sup></u><sub>0</sub>(76)
+* Gooquadrol, {10,100 (1) 4}
+* Gotergahlah, E100#^#100#^#100#^#100
+* Trulinoogol, 10[0{1}3]100
+* Giquadrol, {10,100,2 (1) 4}
+* Grangotergahlah, E100#^#100#^#100#^#100#100
+* Gaquadrol, {10,100,3 (1) 4}
+* Greagotergahlah, E100#^#100#^#100#^#100#100#100
+* Gigangotergahlah, E100#^#100#^#100#^#100#100#100#100
+* Booquadrol, {10,10,100 (1) 4}
+* Gugoldgotergahlah, E100#^#100#^#100#^#100##100
+* Gugolthragotergahlah, E100#^#100#^#100#^#100##100##100
+* Lé Tritri au lait, 3(1, 3)3 / 3 / 3
+* Gugolteslagotergahlah, E100#^#100#^#100#^#100##100##100##100
+* Throogotergahlah, E100#^#100#^#100#^#100###100
+* Tetroogotergahlah, E100#^#100#^#100#^#100####100
+* Quadreequadrol, {10,10,10,10,100,4 (1) 4}
+* Lvapofrtet, <u>1<sup>[(5)[1</sup></u><sub>0</sub>(76)
+* Gooquintol, {10,100 (1) 5}
+* Goppegahlah, E100#^#100#^#100#^#100#^#100
+* Goosextol, {10,100 (1) 6}
+* Gohexgahlah / gohexahlah, E100#^#* #6
+* Gooseptol, {10,100 (1) 7}
+* Gohepgahlah, E100#^#* #7
+* Goo-octol, {10,100(1)8}
+* Go-ahtgahlah, E100#^#* #8
+* Goo-nonol, {10,100(1)9}
+* Go-enngahlah, E100#^#* #9
+* Emperal, {10,10 (1) 10}
+* Godekahlah, E100#^#* #10
+* Kahen, <u>1<sup>[ ] [1]</sup></u><sub>0</sub>(76)
+* Gossol, {10,10 (1) 100}
+* Godgoldgahlah / gohectgahlah / godgoldahlah, E100#^#* #100
+* Kilulinoogol, 10[0{1}0,1]100
+* Titaniprimol, #{1:1}((10))*100
+* Gwossol, {10,10(1)1000}
+* Godgoldgahlahgong, E100,000#^#* #100,000
+=== Part 3.20: <math>f_{\omega^{\omega+1}}(f_3(10))</math> ~ <math>f_{\omega^{\omega+2}}(f_3(10))</math> ===
+* <nowiki>Emperalplex, {10,10 (1) {10,10 (1) 10}}</nowiki>
+* <nowiki>Gossolplex, {10,10 (1) {10,10 (1) 100}}</nowiki>
+* Grand godgoldgahlah, E100#^#* #100#2
+* Kilulin-Googol, 10[1{1}0,1]100
+* Grangol-carta-godgoldgahlah, E100#^#* #100#100
+* Greagol-carta-godgoldgahlah, E100#^#* #100#100#100
+* Gigangol-carta-godgoldgahlah, E100#^#* #100#100#100#100
+* Gugold-carta-godgoldgahlah, E100#^#* #100##100
+* Graatagold-carta-godgoldgahlah, E100#^#* #100##100#100
+* Gugolthra-carta-godgoldgahlah, E100#^#* #100##100##100
+* Throogol-carta-godgoldgahlah, E100#^#* #100###100
+* Tetroogol-carta-godgoldgahlah, E100#^#* #100####100
+* Pentoogol-carta-godgoldgahlah, E100#^#* #100#####100
+* Hexoogol-carta-godgoldgahlah, E100#^#* #100######100
+* Kilulin-Linoogol, 10[0{1}1,1]100
+* Godgahlah-carta-godgoldgahlah, E100#^#* #100#^#100
+* Grandgahlah-carta-godgoldgahlah, E100#^#* #100#^#100#100
+* Greagahlah-carta-godgoldgahlah, E100#^#* #100#^#100#100#100
+* Gugoldgahlah-carta-godgoldgahlah, E100#^#* #100#^#100##100
+* Throogahlah-carta-godgoldgahlah, E100#^#* #100#^#100###100
+* Tetroogahlah-carta-godgoldgahlah, E100#^#* #100#^#100####100
+* Kilulin-Dulinoogol, 10[0{1}2,1]100
+* Gotrigahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100
+* Grangotrigahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100#100
+* Gugoldgotrigahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100##100
+* Throogotrigahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100###100
+* Gotergahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100#^#100
+* Goppegahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100#^#100#^#100
+* Gohexgahlah-carta-godgoldgahlah, E100#^#* #100#^#100#^#100#^#100#^#100#^#100
+* Grand emperal, {10,10 (1) 10,2}
+* Gissol, {10,10 (1) 100,2}
+* Dukilulinoogol, 10[0{1}0,2]100
+* Gotrigoldgahlah / gotrigoldahlah, E100#^#* ##3
+* Gwissol, {10,10(1)1000,2}
+* Gissolplex, {10,10 (1) {10,10 (1) 100,2},2}
+* Grangol-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#100
+* Gugold-carta-gotrigoldgahlah, E100#^#* #100#^#* #100##100
+* Throogol-carta-gotrigoldgahlah, E100#^#* #100#^#* #100###100
+* Godgahlah-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#^#100
+* Gotrigahlah-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#^#100#^#100
+* Gotergahlah-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#^#100#^#100#^#100
+* Goppegahlah-carta-gotrigoldgahlah, E100#^#* #100#^#* #100#^#100#^#100#^#100#^#100
+* Dienlinel, s(3,2,2{2}3,3)
+* Dienlintrienel, s(3,3,3{2}3,3)
+* Gassol, {10,10 (1) 100,3}
+* Gotergoldgahlah / gotergoldahlah, E100#^#* ##4
+* Gassolplex, {10,10 (1) {10,10 (1) 100,3},3}
+* Gwassol, {10,10(1)1000,3}
+* Grangol-carta-gotergoldgahlah, E100#^#* #100#^#* #100#^#* #100#100
+* Gugold-carta-gotergoldgahlah, E100#^#* #100#^#* #100#^#* #100##100
+* Throogol-carta-gotergoldgahlah, E100#^#* #100#^#* #100#^#* #100###100
+* Godgahlah-carta-gotergoldgahlah, E100#^#* #100#^#* #100#^#* #100#^#100
+* Geesol, {10,10 (1) 100,4}
+* Goppegoldgahlah / goppegoldahlah, E100#^#* ##5
+* Geesolplex, {10,10 (1) {10,10 (1) 100,4},4}
+* Gussol, {10,10 (1) 100,5}
+* Gohexgoldgahlah / gohexgoldahlah, E100#^#* ##6
+* Gohepgoldgahlah / gohepgoldahlah, E100#^#* ##7
+* Gasol, {10,10(1)100,7}
+* Go-ahtgoldgahlah / go-ahtgoldahlah, E100#^#* ##8
+* Go-enngoldgahlah / go-enngoldahlah, E100#^#* ##9
+* Godekagoldgahlah / godekagoldahlah, E100#^#* ##10
+* Hyperal, {10,10 (1) 10,10}
+* '''Fish number 3''', <math>\approx f_{(\omega^{\omega+1}) 63+1}(63)</math>
+* Godthroogahlah / godthroldahlah, E100#^#* ##100
+* Mossol, {10,10 (1) 10,100}
+* Megulinoogol, 10[0{1}0,0,1]100
+* Mwossol, {10,10(1)10,1000}
+* Mossolgong, {10,10(1)10,100000}
+=== Part 3.21: <math>f_{\omega^{\omega+2}}(f_3(10))</math> ~ <math>f_{\omega^{\omega 2}}(f_3(10))</math> ===
+* <nowiki>Hyperalplex, {10,10 (1) 10,{10,10 (1) 10,10}}</nowiki>
+* <nowiki>Mossolplex, {10,10 (1) 10,{10,10 (1) 10,100}}</nowiki>
+* Megulin-Kilulinoogol, 10[0{1}0,1,1]100
+* Grangol-carta-godthroogahlah, E100#^#* ##100#100
+* Greagol-carta-godthroogahlah, E100#^#* ##100#100#100
+* Gugold-carta-godthroogahlah, E100#^#* ##100##100
+* Throogol-carta-godthroogahlah, E100#^#* ##100###100
+* Godgahlah-carta-godthroogahlah, E100#^#* ##100#^#100
+* Gotrigahlah-carta-godthroogahlah, E100#^#* ##100#^#100#^#100
+* Gotergahlah-carta-godthroogahlah, E100#^#* ##100#^#100#^#100#^#100
+* Godgoldgahlah-carta-godthroogahlah, E100#^#* ##100#^#* #100
+* Gotrigoldgahlah-carta-godthroogahlah, E100#^#* ##100#^#* #100#^#* #100
+* Gotergoldgahlah-carta-godthroogahlah, E100#^#* ##100#^#* #100#^#* #100#^#* #100
+* Gotrithroogahlah, E100#^#* ##100#^#* ##100
+* Missol, {10,10 (1) 10,100,2}
+* Dumegulinoogol, 10[0{1}0,0,2]100
+* Mwissol, {10,10(1)10,1000,2}
+* Trienlinel, s(3,2,2{2}3,3,3)
+* Goterthroogahlah, E100#^#* ##100#^#* ##100#^#* ##100
+* Massol, {10,10 (1) 10,100,3}
+* Mwassol, {10,10(1)10,1000,3}
+* Deux tritri, {3,3,3(1)3,3,3}
+* Goppethroogahlah, E100#^#* ##100#^#* ##100#^#* ##100#^#* ##100
+* Meesol, {10,10 (1) 10,100,4}
+* Gohexthroogahlah, E100#^#* ##100#^#* ##100#^#* ##100#^#* ##100#^#* ##100
+* Mussol, {10,10 (1) 10,100,5}
+* Gohepthroogahlah, E100#^#* ###7
+* Moosol, {10,10(1)10,100,6}
+* Go-ahthroogahlah, E100#^#* ###8
+* Masol, {10,10(1)10,100,7}
+* Go-ennthroogahlah, E100#^#* ###9
+* Godekathroogahlah, E100#^#* ###10
+* Trideca-hyperal, {10,10(1)10,10,10}
+* Godtetroogahlah / godteroogahlah / godteroldahlah, E100#^#* ###100
+* Bossol, {10,10 (1) 10,10,100}
+* Gigulinoogol, 10[0{1}0,0,0,1]100
+* Titanitrol, #{3:1}((10))*100
+* Bwossol, {10,10(1)10,10,1000}
+* <nowiki>Bossolplex, {10,10 (1) 10,10,{10,10 (1) 10,10,100}}</nowiki>
+* Grangol-carta-godtetroogahlah, E100#^#* ###100#100
+* Gugold-carta-godtetroogahlah, E100#^#* ###100##100
+* Godgahlah-carta-godtetroogahlah, E100#^#* ###100#^#100
+* Godgoldgahlah-carta-godtetroogahlah, E100#^#* ###100#^#* #100
+* Godthroogahlah-carta-godtetroogahlah, E100#^#* ###100#^#* ##100
+* Gotritetroogahlah, E100#^#* ###100#^#* ###100
+* Bissol, {10,10 (1) 10,10,100,2}
+* Tetenlinel, s(3,2,2{2}3,3,3,3)
+* Gotertetroogahlah, E100#^#* ###100#^#* ###100#^#* ###100
+* Bassol, {10,10 (1) 10,10,100,3}
+* Gopentetroogahlah|Goppetetroogahlah, E100#^#* ####5
+* Beesol, {10,10 (1) 10,10,100,4}
+* Deux supertet, {4,4,4,4(1)4,4,4,4}
+* Gohextetroogahlah, E100#^#* ####6
+* Deux superpent, {5,5,5,5,5(1)5,5,5,5,5}
+* Bussol, {10,10 (1) 10,10,100,5}
+* Goheptetroogahlah, E100#^#* ####7
+* Go-ahtetroogahlah, E100#^#* ####8
+* Go-enntetroogahlah, E100#^#* ####9
+* Godekatetroogahlah, E100#^#* ####10
+* Godpentoogahlah / godpetoogahlah / godpetoldahlah, E100#^#* ####100
+* Trossol, {10,10 (1) 10,10,10,100}
+* Terulinoogol, 10[0{1}0,0,0,0,1]100
+* Titaniterol, #{4:1}((10))*100
+* Trwossol, {10,10(1)10,10,10,1000}
+* <nowiki>Trossolplex, {10,10 (1) 10,10,10,{10,10 (1) 10,10,10,100}}</nowiki>
+* Grangol-carta-godpentoogahlah, E100#^#* ####100#100
+* Godgahlah-carta-godpentoogahlah, E100#^#* ####100#^#100
+* Godgoldgahlah-carta-godpentoogahlah, E100#^#* ####100#^#* #100
+* Godthroogahlah-carta-godpentoogahlah, E100#^#* ####100#^#* ##100
+* Godtetroogahlah-carta-godpentoogahlah, E100#^#* ####100#^#* ###100
+* Gotripentoogahlah, E100#^#* ####100#^#* ####100
+* Trissol, {10,10 (1) 10,10,10,100,2}
+* Pentenlinel, s(3,2,2{2}3,3,3,3,3)
+* Trassol, {10,10 (1) 10,10,10,100,3}
+* Treesol, {10,10 (1) 10,10,10,100,4}
+* Trussol, {10,10 (1) 10,10,10,100,5}
+* Godhexoogahlah / go-ectoogahlah / go-ectolgahlah, E100#^#* #####100
+* Quadrossol, {10,10 (1) 10,10,10,10,100}
+* Petulinoogol, 10[0{1}0,0,0,0,0,1]100
+* Quadrissol, {10,10 (1) 10,10,10,10,100,2}
+* Quadrassol, {10,10 (1) 10,10,10,10,100,3}
+* Quadreesol, {10,10 (1) 10,10,10,10,100,4}
+* Quadrussol, {10,10 (1) 10,10,10,10,100,5}
+* Deux superhex, {6,6,6,6,6,6(1)6,6,6,6,6,6}
+* Godheptoogahlah / godzettoogahlah / godzettolgahlah, E100#^#* ######100
+* Quintossol, {10,10 (1) 10,10,10,10,10,100}
+* Ectulinoogol, 10[0{1}0,0,0,0,0,0,1]100
+* Quintissol, {10,10 (1) 10,10,10,10,10,100,2}
+* Quintassol, {10,10 (1) 10,10,10,10,10,100,3}
+* Quinteesol, {10,10 (1) 10,10,10,10,10,100,4}
+* Quintussol, {10,10 (1) 10,10,10,10,10,100,5}
+* Deux superhept, {7,7,7,7,7,7,7(1)7,7,7,7,7,7,7}
+* Godogdoogahlah / godyottoogahlah / godyottolgahlah, E100#^#* #######100
+* Sextossol, {10,10 (1) 10,10,10,10,10,10,100}
+* Zettulinoogol, 10[0{1}0,0,0,0,0,0,0,1]100
+* Deux superogd, {8,8,8,8,8,8,8,8(1)8,8,8,8,8,8,8,8}
+* Godentoogahlah, E100#^#* ########100
+* Septossol, {10,10 (1) 10,10,10,10,10,10,10,100}
+* Yottulinoogol, 10[0{1}0,0,0,0,0,0,0,0,1]100
+* Deux superenn, {9,9,9,9,9,9,9,9,9(1)9,9,9,9,9,9,9,9,9}
+* Octossol, {10,10(1)10,10,10,10,10,10,10,10,100}
+* Goddektoogahlah, E100#^#* #########100
+* Xennulinoogol, 10[0{1}0,0,0,0,0,0,0,0,0,1]100
+* Diteral, {10,10 (1)(1) 2}
+* Wekulinoogol, 10[0{1}0,0,0,0,0,0,0,0,0,0,1]100
+* Dozenal-diteral, {12,12(1)(1)2}
+* Hexadecimal-diteral, {16,16(1)(1)2}
+* Niftimal-diteral, {36,36(1)2}
+* Never gonna give you up, {69, 69 [2] 1 [2] 2}
+* Dubol, {10,100 (1)(1) 2}
+* Deutero-godgahlah, E100#^#* #^#100
+* Gratuitous Golden Googol (DeepLineMadom), {16777216,100 (1)(1) 2}
+* Behemicol, #{0:2}((10))*100
+* Dubolgong, {10,100000(1)(1)2}
+* Deutero-godgahlahgong, E100,000#^#* #^#100,000
+=== Part 3.22: <math>f_{\omega^{\omega 2}}(f_3(10))</math> ~ <math>f_{\omega^{\omega 3}}(f_3(10))</math> ===
+* Linbel, s(3,2,2{2}1{2}2)
+* Diteralplex, {10,3,2 (1)(1) 2}
+* Grand deutero-godgahlah, E100#^#* #^#100#2
+* Grangol-carta-deutero-godgahlah, E100#^#* #^#100#100
+* Lintrienbel, s(3,3,3{2}1{2}2)
+* Greagol-carta-deutero-godgahlah, E100#^#* #^#100#100#100
+* Gugold-carta-deutero-godgahlah, E100#^#* #^#100##100
+* Throogol-carta-deutero-godgahlah, E100#^#* #^#100###100
+* Linblinel, s(3,2,2{2}2{2}2)
+* Godgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100
+* Grandgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100#100
+* Linbdulinel, s(3,2,2{2}3{2}2)
+* Gugoldgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100##100
+* Gotrigahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100#^#100
+* Gotergahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#100#^#100#^#100
+* Goppegahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* #5
+* Godgoldgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* #100
+* Gotrigoldgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* #100#^#* #100
+* Linbdienlinel, s(3,2,2{2}3,3{2}2)
+* Gotergoldgahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* #100#^#* #100#^#* #100
+* Godthroogahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* ##100
+* Godtetroogahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* ###100
+* Godpentoogahlah-carta-deutero-godgahlah, E100#^#* #^#100#^#* ####100
+* Dutrol, {10,100 (1)(1) 3}
+* Deutero-gotrigahlah, E100#^#* #^#100#^#* #^#100
+* Dutrolplex, {10,{10,100(1)(1)3}(1)(1)3}
+* Dulinbel, s(3,2,2{2}1{2}3)
+* Duquadrol, {10,100 (1)(1) 4}
+* Deutero-gotergahlah, E100#^#* #^#100#^#* #^#100#^#* #^#100
+* Duquintol, {10,100 (1)(1) 5}
+* Deutero-goppegahlah, E100#^#* #^#100#^#* #^#100#^#* #^#100#^#* #^#100
+* Deutero-gohexgahlah, E100#^#* #^#* #6
+* Deutero-gohepgahlah, E100#^#* #^#* #7
+* Deutero-go-ahtgahlah, E100#^#* #^#* #8
+* Deutero-go-enngahlah, E100#^#* #^#* #9
+* Admiral, {10,10 (1)(1) 10}
+* Deutero-godekahlah, E100#^#* #^#* #10
+* Dossol, {10,10 (1)(1) 100}
+* Deutero-godgoldgahlah / deutero-godgoldahlah, E100#^#* #^#* #100
+* Dwossol, {10,10(1)(1)1000}
+* <nowiki>Dossolplex, {10,10 (1)(1) {10,10 (1)(1) 100}}</nowiki>
+* Grand deutero-godgoldgahlah, E100#^#* #^#* #100#2
+* Grangol-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#100
+* Gugold-carta-deutero-godgoldgahlah, E100#^#* #^#* #100##100
+* Godgahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#100
+* Gotrigahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#100#^#100
+* Godgoldgahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* #100
+* Godthroogahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* ##100
+* Cyperal, {65,googolplex(1)1000,googol(1)7* quadragintaquingentillion,42}
+* Deutero-godgahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* #^#100
+* Dienlinbel, s(3,2,2{2}1{2}3,3)
+* Deutero-gotrigahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* #^#100#^#* #^#100
+* Deutero-gotergahlah-carta-deutero-godgoldgahlah, E100#^#* #^#* #100#^#* #^#100#^#* #^#100#^#* #^#100
+* Deutero-gotrigoldgahlah, E100#^#* #^#* #100#^#* #^#* #100
+* Deutero-gotergoldgahlah, E100#^#* #^#* #100#^#* #^#* #100#^#* #^#* #100
+* Deutero-goppegoldgahlah, E100#^#* #^#* ##5
+* Deutero-gohexgoldgahlah, E100#^#* #^#* ##6
+* Deutero-gohepgoldgahlah, E100#^#* #^#* ##7
+* Deutero-go-ahtgoldgahlah, E100#^#* #^#* ##8
+* Deutero-go-enngoldgahlah, E100#^#* #^#* ##9
+* Deutero-godekagoldgahlah, E100#^#* #^#* ##10
+* Deutero-godthroogahlah / deutero-godthrolgahlah, E100#^#* #^#* ##100
+* Modossol, {10,10(1)(1)10,100}
+* Modwossol, {10,10(1)(1)10,1000}
+* Deutero-gotrithroogahlah, E100#^#* #^#* ##100#^#* #^#* ##100
+* Trienlinbel, s(3,2,2{2}1{2}3,3,3)
+* Dimensol, s(3,3{1,2}2)
+* Dutritri, {3,3,3 (1) 3,3,3 (1) 3,3,3}
+* Deutero-goterthroogahlah, E100#^#* #^#* ##100#^#* #^#* ##100#^#* #^#* ##100
+* Deutero-gopethroogahlah|Deutero-goppethroogahlah, E100#^#* #^#* ###5
+* Deutero-gohexthroogahlah, E100#^#* #^#* ###6
+* Dutridecal, {10,10,10 (1) 10,10,10 (1) 10,10,10}
+* Hayden's Dutritri, 3(2, 3)3
+* Deutero-godtetroogahlah / deutero-godteroogahlah / deutero-godterolgahlah, E100#^#* #^#* ###100
+* Bodossol, {10,10(1)(1)10,10,100}
+* Lower dusupertet, {4,4,4,4(1)4,4,4,4(1)4,4,4,4}
+* Deutero-godpentoogahlah / deutero-godpetoogahlah / deutero-godpetolgahlah, E100#^#* #^#* ####100
+* Deutero-godhexoogahlah / deutero-go-ectoogahlah / deutero-go-ectolgahlah, E100#^#* #^#* #####100
+* Deutero-godheptoogahlah / deutero-godzettoogahlah / deutero-gozettolgahlah, E100#^#* #^#* ######100
+* Deutero-godogdoogahlah / deutero-godyottoogahlah / deutero-goyottolgahlah, E100#^#* #^#* #######100
+* Triteral, {10,10(1)(1)(1)2}
+* Triubol, {10,100(1)(1)(1)2}
+* Dutetradecal, {10,4(2)2}
+* Trito-godgahlah, E100#^#* #^#* #^#100
+* Leviathol, #{0:3}((10))*100
+=== Part 3.23: <math>f_{\omega^{\omega 3}}(f_3(10))</math> ~ <math>f_{\omega^{\omega^2}}(f_3(10))</math> ===
+* Lintrel, s(3,2,2{2}1{2}1{2}2)
+* Trito-gotrigahlah, E100#^#* #^#* #^#100#^#* #^#* #^#100
+* Trito-gotergahlah, E100#^#* #^#* #^#* #4
+* Trito-goppegahlah, E100#^#* #^#* #^#* #5
+* Trito-godgoldgahlah, E100#^#* #^#* #^#* #100
+* Trito-gotrigoldgahlah, E100#^#* #^#* #^#* ##3
+* Trito-godthroogahlah, E100#^#* #^#* #^#* ##100
+* Trito-godtetroogahlah, E100#^#* #^#* #^#* ###100
+* Trito-godpentoogahlah, E100#^#* #^#* #^#* ####100
+* Quadriteral, {10,10(1)(1)(1)(1)2}
+* Tetrubol, {10,100 (1)(1)(1)(1) 2}
+* Teterto-godgahlah, E100#^#* #^#* #^#* #^#100
+* Lintetel, s(3,2,2{2}1{2}1{2}1{2}2)
+* Dupentadecal, {10,5(2)2}
+* Quintiteral, {10,10(1)(1)(1)(1)(1)2}
+* Pepto-godgahlah, E100#^##5
+* Linpenel, s(3,2,2{2}1{2}1{2}1{2}1{2}2)
+* Exto-godgahlah, E100#^##6
+* Linhexel, s(3,2,2{2}1{2}1{2}1{2}1{2}1{2}2)
+* Duhexadecal, {10,6(2)2}
+* Epto-godgahlah, E100#^##7
+* Duheptadecal, {10,7(2)2}
+* Ogdo-godgahlah, E100#^##8
+* Duoctadecal, {10,8(2)2}
+* Ento-godgahlah, E100#^##9
+* Duennadecal, {10,9(2)2}
+* Xappol, {10,10 (2) 2}
+* Dekato-godgahlah, E100#^##10
+* Isosto-godgahlah, E100#^##20
+* Planel, s(3,2,2{3}2)
+* Trianto-godgahlah, E100#^##30
+* Saranto-godgahlah, E100#^##40
+* Goxxol, {10,100 (2) 2}
+* Triabiogodgahlah, E100+<sub>##</sub>100
+* Gridgahlah, E100#^##100
+* Hyper-grid-hyperon, 100{X<sup>X<sup>2</sup></sup>}100
+* Empiriol, #{0:0:1}((10))*100
+* Hugebollaxul, 200$[1]
 【[[Googolism - Part 2|更小]] | [[Googolism|主页]] | [[Googolism - Part 4|更大]]】
 [[分类:经典大数]]

2025年7月29日 (二) 14:54的最新版本

Linear omega level

Part 3.1: fω(f3(10)) ~ fω+1(f3(10))

Part 3.2: fω+1(f3(10)) ~ fω+2(f3(10))

Part 3.3: fω+2(f3(10)) ~ fω+5(f3(10))

Part 3.4: fω+5(f3(10)) ~ fω+11(10)

Part 3.5: fω+11(10) ~ fω2(f3(10))

Part 3.6: fω2(f3(10)) ~ fω3(f3(10))

Part 3.7: fω3(f3(10)) ~ fω5(f3(10))

Part 3.8: fω5(f3(10)) ~ fω7(f3(10))

Part 3.9: fω7(f3(10)) ~ fω10(f3(10))

Part 3.10: fω10(f3(10)) ~ fω2(f3(10))

Quadratic omega level

Part 3.11: fω2(f3(10)) ~ fω22(f3(10))

Part 3.12: fω22(f3(10)) ~ fω23(f3(10))

Part 3.13: fω23(f3(10)) ~ fω3(f3(10))

Polynomial omega level

Part 3.14: fω3(f3(10)) ~ fω32(f3(10))

Part 3.15: fω32(f3(10)) ~ fω4(f3(10))

Part 3.16: fω4(f3(10)) ~ fωω(f3(10))

Exponentiated linear omega level

Part 3.17: fωω(f3(10)) ~ fωω+ω(f3(10))

Part 3.18: fωω+ω(f3(10)) ~ fωω2(f3(10))

Part 3.19: fωω2(f3(10)) ~ fωω+1(f3(10))

Part 3.20: fωω+1(f3(10)) ~ fωω+2(f3(10))

Part 3.21: fωω+2(f3(10)) ~ fωω2(f3(10))

Part 3.22: fωω2(f3(10)) ~ fωω3(f3(10))

Part 3.23: fωω3(f3(10)) ~ fωω2(f3(10))

Part 3.1: $f_{ω} (f_{3} (10))$ ~ $f_{ω + 1} (f_{3} (10))$

Part 3.2: $f_{ω + 1} (f_{3} (10))$ ~ $f_{ω + 2} (f_{3} (10))$

Part 3.3: $f_{ω + 2} (f_{3} (10))$ ~ $f_{ω + 5} (f_{3} (10))$

Part 3.4: $f_{ω + 5} (f_{3} (10))$ ~ $f_{ω + 11} (10)$

Part 3.5: $f_{ω + 11} (10)$ ~ $f_{ω 2} (f_{3} (10))$

Part 3.6: $f_{ω 2} (f_{3} (10))$ ~ $f_{ω 3} (f_{3} (10))$

Part 3.7: $f_{ω 3} (f_{3} (10))$ ~ $f_{ω 5} (f_{3} (10))$

Part 3.8: $f_{ω 5} (f_{3} (10))$ ~ $f_{ω 7} (f_{3} (10))$

Part 3.9: $f_{ω 7} (f_{3} (10))$ ~ $f_{ω 10} (f_{3} (10))$

Part 3.10: $f_{ω 10} (f_{3} (10))$ ~ $f_{ω^{2}} (f_{3} (10))$

Part 3.11: $f_{ω^{2}} (f_{3} (10))$ ~ $f_{ω^{2} 2} (f_{3} (10))$

Part 3.12: $f_{ω^{2} 2} (f_{3} (10))$ ~ $f_{ω^{2} 3} (f_{3} (10))$

Part 3.13: $f_{ω^{2} 3} (f_{3} (10))$ ~ $f_{ω^{3}} (f_{3} (10))$

Part 3.14: $f_{ω^{3}} (f_{3} (10))$ ~ $f_{ω^{3} 2} (f_{3} (10))$

Part 3.15: $f_{ω^{3} 2} (f_{3} (10))$ ~ $f_{ω^{4}} (f_{3} (10))$

Part 3.16: $f_{ω^{4}} (f_{3} (10))$ ~ $f_{ω^{ω}} (f_{3} (10))$

Part 3.17: $f_{ω^{ω}} (f_{3} (10))$ ~ $f_{ω^{ω} + ω} (f_{3} (10))$

Part 3.18: $f_{ω^{ω} + ω} (f_{3} (10))$ ~ $f_{ω^{ω} 2} (f_{3} (10))$

Part 3.19: $f_{ω^{ω} 2} (f_{3} (10))$ ~ $f_{ω^{ω + 1}} (f_{3} (10))$

Part 3.20: $f_{ω^{ω + 1}} (f_{3} (10))$ ~ $f_{ω^{ω + 2}} (f_{3} (10))$

Part 3.21: $f_{ω^{ω + 2}} (f_{3} (10))$ ~ $f_{ω^{ω 2}} (f_{3} (10))$

Part 3.22: $f_{ω^{ω 2}} (f_{3} (10))$ ~ $f_{ω^{ω 3}} (f_{3} (10))$

Part 3.23: $f_{ω^{ω 3}} (f_{3} (10))$ ~ $f_{ω^{ω^{2}}} (f_{3} (10))$