Googolism - Part 3

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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]

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