The grangol regiment is a series of numbers from E100#100 to E1#1#100#3 defined using Hyper-E notation (i.e. beginning from grangol and up to hectataxiataxia-taxis).[1] The numbers were coined by Sbiis Saibian.
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|---|---|
| Guppy regiment | Greagol regiment |
List of numbers of the regiment[]
| Name of number | Hyper-E Notation (definition) | Scientific notation or Arrow notation (exact value) | Fast-growing hierarchy | Slow-growing hierarchy |
|---|---|---|---|---|
| Grangolbit | E[2]100#100 | \(\underbrace{2^{...^{2^{100}}}}_{100\quad 2's}\) | f3(100) | \(g_{\varepsilon_\omega}(10)\) |
| Grangolbyte | E[8]100#100 | \(\underbrace{8^{...^{8^{100}}}}_{100\quad 8's}\) | f3(100) | \(g_{\varepsilon_\omega}(10)\) |
| Grangol | E100#100 | \(\underbrace{10^{...^{10^{100}}}}_{100\quad 10's}\) | f3(100) | \(g_{\varepsilon_\omega}(10)\) |
| Grangolplex | E(E100#100) = E100#101 | \(\underbrace{10^{...^{10^{100}}}}_{101\quad 10's}\) | f3(103) | \(g_{\varepsilon_\omega^{\varepsilon_\omega}}(10)\) |
| Giggolchime | E1#1,000 | \(10\uparrow^2 10^{3}\) | f3(999) | \(g_{\varepsilon_{\omega^2}}(10)\) |
| Grangolchime | E1,000#1,000 | \(\underbrace{10^{...^{10^{1,000}}}}_{1,000\quad 10's}\) | f3(1000) | \(g_{\varepsilon_{\omega^2}}(10)\) |
| Giggoltoll | E1#10,000 | \(10\uparrow^2 10^{4}\) | f3(9999) | \(g_{\varepsilon_{\omega^3}}(10)\) |
| Grangoltoll | E10,000#10,000 | \(\underbrace{10^{...^{10^{10^4}}}}_{10^4+1\quad 10's}\) | f3(10,000) | \(g_{\varepsilon_{\omega^3}}(10)\) |
| Giggolgong | E1#100,000 | \(10\uparrow^2 10^{5}\) | f3(99,999) | \(g_{\varepsilon_{\omega^4}}(10)\) |
| Grangolgong | E100,000#100,000 | \(\underbrace{10^{...^{10^{10^5}}}}_{10^5+1\quad 10's}\) | f3(100,000) | \(g_{\varepsilon_{\omega^4}}(10)\) |
| Giggolbong | E1#100,000,000 | \(10\uparrow^2 10^{8}\) | f3(108-1) | \(g_{\varepsilon_{\omega^7}}(10)\) |
| Grangolbong | E100,000,000#100,000,000 | \(\underbrace{10^{...^{10^{10^8}}}}_{10^8+1\quad 10's}\) | f3(108) | \(g_{\varepsilon_{\omega^7}}(10)\) |
| Dialogialogue | E1#(10^10) | \(10\uparrow^2 10^{10}\) | f3(1010-1) | \(g_{\varepsilon_{\omega^\omega}}(10)\) |
| giggolthrong | E1#100,000,000,000 | \(10\uparrow^2 10^{11}\) | f3(1011-1) | \(g_{\varepsilon_{\omega^{\omega+1}}}(10)\) |
| grangolthrong | E100,000,000,000#100,000,000,000 | \(\underbrace{10^{...^{10^{10^{11}}}}}_{10^{11}+1\quad 10's}\) | f3(1011) | \(g_{\varepsilon_{\omega^{\omega+1}}}(10)\) |
| guppylogue | E1#(10^20) | \(10\uparrow^2 10^{20}\) | f3(f2(60)) | \(g_{\varepsilon_{\omega^{\omega\times2}}}(10)\) |
| minnowlogue | E1#(10^25) | \(10\uparrow^2 10^{25}\) | f3(f2(76)) | \(g_{\varepsilon_{\omega^{\omega\times2+5}}}(10)\) |
| gobylogue | E1#(10^35) | \(10\uparrow^2 10^{35}\) | f3(f2(109)) | \(g_{\varepsilon_{\omega^{\omega\times3+5}}}(10)\) |
| gogologue | E1#(10^50) | \(10\uparrow^2 10^{50}\) | f3(f2(158)) | \(g_{\varepsilon_{\omega^{\omega\times5}}}(10)\) |
| ogologue | E1#(10^80) | \(10\uparrow^2 10^{80}\) | f3(f2(257)) | \(g_{\varepsilon_{\omega^{\omega\times8}}}(10)\) |
| googologue | E1#(10^100) | \(10\uparrow^2 10^{100}\) | f3(f2(323)) | \(g_{\varepsilon_{\omega^{\omega^2}}}(10)\) |
| googoldex | E100#1#2 = E100#(E100) = E100#googol | \(\underbrace{10^{...^{10^{10^{100}}}}}_{10^{100}\quad 10's}\) | f3(f2(323)) | \(g_{\varepsilon_{\omega^{\omega^2}}}(10)\) |
| googoldexiplex | E(E100#1#2) = E(E100#(E100)) = E(E100#googol) = E100#(googol+1) | \(\underbrace{10^{...^{10^{10^{100}}}}}_{10^{100}+1\quad 10's}\) | f3(f2(323)) | \(g_{\varepsilon_{\omega^{\omega^2}+1}}(10)\) |
| googoldexiduplex | E(E100#1#2)#2 = E(E100#googol)#2 = E100#(googol+2) | \(\underbrace{10^{...^{10^{10^{100}}}}}_{10^{100}+2\quad 10's}\) | f3(f2(323)) | \(g_{\varepsilon_{\omega^{\omega^2}+2}}(10)\) |
| ecetondex | E303#1#2 = E303#(E303) | \(\underbrace{10^{...^{10^{10^{303}}}}}_{10^{303}\quad 10's}\) | f3(f2(996)) | \(g_{\varepsilon_{\omega^{\omega^2\times3+3}}}(10)\) |
| trialogialogue | E1#(10^10^10) | \(10\uparrow^2 10\uparrow^2 3\) | f3(f22(30)) | \(g_{\varepsilon_{\omega^{\omega^{\omega}}}}(10)\) |
| googolplexilogue | E1#(10^10^100) | \(10\uparrow^2 10^{10^{100}}\) | f3(f22(325)) | \(g_{\varepsilon_{\omega^{\omega^{\omega^2}}}}(10)\) |
| googolplexidex | E100#2#2 = E100#(E100#2) = E100#googolplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{10^{10^{100}}\quad 10's}\) | f3(f22(325)) | \(g_{\varepsilon_{\omega^{\omega^{\omega^2}}}}(10)\) |
| googolplexidexiplex | E100#(1+E100#2) | \(\underbrace{10^{...^{10^{10^{100}}}}}_{10^{10^{100}}+1\quad 10's}\) | f3(f22(325)) | \(g_{\varepsilon_{\omega^{\omega^{\omega^2}}+1}}(10)\) |
| googolplexidexiduplex | E100#(2+E100#2) | \(\underbrace{10^{...^{10^{10^{100}}}}}_{10^{10^{100}}+2\quad 10's}\) | f3(f22(325)) | \(g_{\varepsilon_{\omega^{\omega^{\omega^2}}+2}}(10)\) |
| tetralogialogue | E1#(10^10^10^10) | \(10\uparrow^2 10\uparrow^2 4\) | f3(f23(28)) | \(g_{\varepsilon_{\omega^{\omega^{\omega^\omega}}}}(10)\) |
| googolduplexilogue | E1#(10^10^10^100) | \(10\uparrow^2 10^{10^{10^{100}}}\) | f3(f23(325)) | \(g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^2}}}}}(10)\) |
| googolduplexidex | E100#3#2 = E100#(E100#3) = E100#googolduplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{10^{10^{10^{100}}}\quad 10's}\) | f3(f23(325)) | \(g_{\varepsilon_{\omega^{\omega^{\omega^{\omega^2}}}}}(10)\) |
| pentalogialogue | E1#(10^10^10^10^10) | \(10\uparrow^2 10\uparrow^2 5\) | f3(f24(28)) | \(g_{\varepsilon_{\omega\uparrow\uparrow5}}(10)\) |
| googoltriplexilogue | E1#(10^10^10^10^100) | \(10\uparrow^2 10^{10^{10^{10^{100}}}}\) | f3(f24(325)) | \(g_{\varepsilon_{\omega\uparrow\uparrow5}}(10)\) |
| googoltriplexidex | E100#4#2 = E100#(E100#4) = E100#googoltriplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{4\quad 10's}}\) | f3(f24(325)) | \(g_{\varepsilon_{\omega\uparrow\uparrow5}}(10)\) |
| hexalogialogue | E1#(E1#6) = E1#6#2 | \(10\uparrow^2 10\uparrow^2 6\) | f3(f25(28)) | \(g_{\varepsilon_{\omega\uparrow\uparrow6}}(10)\) |
| googolquadriplexidex | E100#5#2 = E100#(E100#5) = E100#googolquadriplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{5\quad 10's}}\) | f3(f25(325)) | \(g_{\varepsilon_{\omega\uparrow\uparrow6}}(10)\) |
| heptalogialogue | E1#7#2 | \(10\uparrow^2 10\uparrow^2 7\) | f3(f26(28)) | \(g_{\varepsilon_{\omega\uparrow\uparrow7}}(10)\) |
| googolquintiplexidex | E100#6#2 = E100#(E100#6) = E100#googolquintiplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{6\quad 10's}}\) | f3(f26(325)) | \(g_{\varepsilon_{\omega\uparrow\uparrow7}}(10)\) |
| octalogialogue | E1#8#2 | \(10\uparrow^2 10\uparrow^2 8\) | f3(f27(28)) | \(g_{\varepsilon_{\omega\uparrow\uparrow8}}(10)\) |
| googolsextiplexidex | E100#7#2 = E100#(E100#7) = E100#googolsextiplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{7\quad 10's}}\) | f3(f27(325)) | \(g_{\varepsilon_{\omega\uparrow\uparrow8}}(10)\) |
| ennalogialogue | E1#9#2 = 10^^10^^9 | \(10\uparrow^2 10\uparrow^2 9\) | f3(f28(28)) | \(g_{\varepsilon_{\omega\uparrow\uparrow9}}(10)\) |
| googolseptiplexidex | E100#8#2 = E100#(E100#8) = E100#googolseptiplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{8\quad 10's}}\) | f3(f28(325)) | \(g_{\varepsilon_{\omega\uparrow\uparrow9}}(10)\) |
| dekalogialogue, tria-taxis | E1#10#2 | \(10\uparrow^2 10\uparrow^2 10\) | f32(9) | \(g_{\varepsilon_{\varepsilon_0}}(10)\) |
| googoloctiplexidex | E100#9#2 = E100#(E100#9) = E100#googoloctiplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{9\quad 10's}}\) | f32(9) | \(g_{\varepsilon_{\varepsilon_0}}(10)\) |
| googolnoniplexidex | E100#10#2 = E100#(E100#10) = E100#googolnoniplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{10\quad 10's}}\) | f32(10) | \(g_{\varepsilon_{\varepsilon_1}}(10)\) |
| googoldeciplexidex | E100#11#2 = E100#(E100#11) = E100#googoldeciplex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{11\quad 10's}}\) | f32(11) | \(g_{\varepsilon_{\varepsilon_2}}(10)\) |
| hectalogialogue | E1#100#2 | \(10\uparrow^2 10\uparrow^2 100\) | f32(99) | \(g_{\varepsilon_{\varepsilon_\omega}}(10)\) |
| grangoldex | E100#100#2 = E100#(E100#100) = E100#grangol | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{100\quad 10's}}\) | f32(100) | \(g_{\varepsilon_{\varepsilon_\omega}}(10)\) |
| chilialogialogue | E1#1000#2 | \(10\uparrow^2 10\uparrow^2 1000\) | f32(999) | \(g_{\varepsilon_{\varepsilon_{\omega^2}}}(10)\) |
| grangoldexichime | E1000#1000#2 | \(\underbrace{10^{...^{10^{10^{1000}}}}}_{\underbrace{10^{...^{10^{10^{1000}}}}}_{1000\quad 10's}}\) | f32(1000) | \(g_{\varepsilon_{\varepsilon_{\omega^2}}}(10)\) |
| myrialogialogue | E1#10,000#2 | \(10\uparrow^2 10\uparrow^2 10000\) | f32(9999) | \(g_{\varepsilon_{\varepsilon_{\omega^3}}}(10)\) |
| grangoldexitoll | E10,000#10,000#2 | \(\underbrace{10^{...^{10^{10^{10^4}}}}}_{\underbrace{10^{...^{10^{10^{10^4}}}}}_{10^4+1\quad 10's}+1}\) | f32(10,000) | \(g_{\varepsilon_{\varepsilon_{\omega^3}}}(10)\) |
| grangoldexigong | E100,000#100,000#2 = E100,000#grangolgong | \(\underbrace{10^{...^{10^{10^{10^5}}}}}_{\underbrace{10^{...^{10^{10^{10^5}}}}}_{10^5+1\quad 10's}+1}\) | f32(100,000) | \(g_{\varepsilon_{\varepsilon_{\omega^4}}}(10)\) |
| octadialogialogue | E1#100,000,000#2 = 10^^10^^100,000,000 | \(10\uparrow^2 10\uparrow^2 10^8\) | f32(108-1) | \(g_{\varepsilon_{\varepsilon_{\omega^9}}}(10)\) |
| grangoldexibong | E100,000,000#100,000,000#2 | \(\underbrace{10^{...^{10^{10^{10^8}}}}}_{\underbrace{10^{...^{10^{10^{10^8}}}}}_{10^8+1\quad 10's}+1}\) | f32(108) | \(g_{\varepsilon_{\varepsilon_{\omega^9}}}(10)\) |
| grangoldexithrong | E100,000,000,000#100,000,000,000#2 | \(\underbrace{10^{...^{10^{10^{10^{11}}}}}}_{\underbrace{10^{...^{10^{10^{10^{11}}}}}}_{10^{11}+1\quad 10's}+1}\) | f32(1011) | \(g_{\varepsilon_{\varepsilon_{\omega^{\omega+2}}}}(10)\) |
| sedeniadialogialogue | E1#(10^16)#2 | \(10\uparrow^2 10\uparrow^2 10^{16}\) | f32(1016-1) | \(g_{\varepsilon_{\varepsilon_{\omega^{\omega+6}}}}(10)\) |
| googoldudex | E100#1#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{10^{100}\quad 10's}}\) | f32(f2(324)) | \(g_{\varepsilon_{\varepsilon_{\omega^{\omega^2}}}}(10)\) |
| ecetondudex | E303#1#3 = E303#ecetondex | \(\underbrace{10^{...^{10^{10^{303}}}}}_{\underbrace{10^{...^{10^{10^{303}}}}}_{10^{303}\quad 10's}}\) | f32(f2(996)) | \(g_{\varepsilon_{\varepsilon_{\omega^{\omega^2\times3+3}}}}(10)\) |
| trialogialogialogue | E1#3#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 3\) | f32(f22(30)) | \(g_{\varepsilon_{\varepsilon_{\omega^{\omega^{\omega}}}}}(10)\) |
| googolplexidudex | E100#2#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{10^{10^{100}}\quad 10's}}\) | f32(f22(324)) | \(g_{\varepsilon_{\varepsilon_{\omega^{\omega^{\omega^2}}}}}(10)\) |
| tetralogialogialogue | E1#4#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 4\) | f32(f23(30)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow4}}}(10)\) |
| googolduplexidudex | E100#3#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{10^{10^{10^{100}}}\quad 10's}}\) | f32(f23(324)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow4}}}(10)\) |
| pentalogialogialogue | E1#5#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 5\) | f32(f24(30)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow5}}}(10)\) |
| googoltriplexidudex | E100#4#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{4\quad 10's}}}\) | f32(f24(324)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow5}}}(10)\) |
| hexalogialogialogue | E1#6#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 6\) | f32(f25(30)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow6}}}(10)\) |
| googolquadriplexidudex | E100#5#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{5\quad 10's}}}\) | f32(f25(324)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow6}}}(10)\) |
| heptalogialogialogue | E1#7#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 7\) | f32(f26(30)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow7}}}(10)\) |
| googolquintiplexidudex | E100#6#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{6\quad 10's}}}\) | f32(f26(324)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow7}}}(10)\) |
| octalogialogialogue | E1#8#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 8\) | f32(f27(30)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow8}}}(10)\) |
| googolsextiplexidudex | E100#7#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{7\quad 10's}}}\) | f32(f27(324)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow8}}}(10)\) |
| ennalogialogialogue | E1#9#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 9\) | f32(f28(30)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow9}}}(10)\) |
| googolseptiplexidudex | E100#8#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{8\quad 10's}}}\) | f32(f28(324)) | \(g_{\varepsilon_{\varepsilon_{\omega\uparrow\uparrow9}}}(10)\) |
| dekalogialogialogue, tetra-taxis | E1#10#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 10\) | f33(9) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_0}}}(10)\) |
| googoloctiplexidudex | E100#9#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{9\quad 10's}}}\) | f33(9) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_0}}}(10)\) |
| googolnoniplexidudex | E100#10#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{10\quad 10's}}}\) | f33(10) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_1}}}(10)\) |
| googoldeciplexidudex | E100#11#3 | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{11\quad 10's}}}\) | f33(11) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_2}}}(10)\) |
| hectalogialogialogue | E1#100#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 100\) | f33(100) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_\omega}}}(10)\) |
| grangoldudex | E100#100#3 = E100#(E100#100#2) = E100#grangoldex | \(\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{\underbrace{10^{...^{10^{10^{100}}}}}_{100\quad 10's}}}\) | f33(100) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_\omega}}}(10)\) |
| chilialogialogialogue | E1#1,000#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 1000\) | f33(1000) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^2}}}}(10)\) |
| grangoldudexichime | E1,000#1,000#3 | \(\underbrace{10^{...^{10^{10^{1,000}}}}}_{\underbrace{10^{...^{10^{10^{1000}}}}}_{\underbrace{10^{...^{10^{10^{1000}}}}}_{1000\quad 10's}}}\) | f33(1000) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^2}}}}(10)\) |
| myrialogialogialogue | E1#10,000#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 10000\) | f33(10,000) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^3}}}}(10)\) |
| grangoldudexitoll | E10,000#10,000#3 | \(\underbrace{10^{...^{10^{10^{10^4}}}}}_{\underbrace{10^{...^{10^{10^{10^4}}}}}_{\underbrace{10^{...^{10^{10^{10^4}}}}}_{10^4+1\quad 10's}+1}+1}\) | f33(10,000) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^3}}}}(10)\) |
| grangoldudexigong | E100,000#100,000#3 = E100,000#grangoldexigong | \(\underbrace{10^{...^{10^{10^{10^5}}}}}_{\underbrace{10^{...^{10^{10^{10^5}}}}}_{\underbrace{10^{...^{10^{10^{10^5}}}}}_{10^5+1\quad 10's}+1}+1}\) | f33(100,000) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^4}}}}(10)\) |
| octadialogialogialogue | E1#100,000,000#3 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 10^8\) | f33(108) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^7}}}}(10)\) |
| grangoldudexibong | E100,000,000#100,000,000#3 | \(\underbrace{10^{...^{10^{10^{10^8}}}}}_{\underbrace{10^{...^{10^{10^{10^8}}}}}_{\underbrace{10^{...^{10^{10^{10^8}}}}}_{10^8+1\quad 10's}+1}+1}\) | f33(108) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^7}}}}(10)\) |
| grangoldudexithrong | E100,000,000,000#100,000,000,000#3 | \(\underbrace{10^{...^{10^{10^{10^{11}}}}}}_{\underbrace{10^{...^{10^{10^{10^{11}}}}}}_{\underbrace{10^{...^{10^{10^{10^{11}}}}}}_{10^{11}+1\quad 10's}+1}+1}\) | f33(1011) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^{\omega+2}}}}}(10)\) |
| sedeniadialogialogialogue | E1#(10^16)#3 = 10^^10^^10^^10^16 | \(10\uparrow^2 10\uparrow^2 10\uparrow^2 10^{16}\) | f33(1016) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^{\omega+6}}}}}(10)\) |
| googoltridex | E100#1#4 | \(10\uparrow^3 4\) | f33(f2(324)) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^{\omega^2}}}}}(10)\) |
| ecetontridex | E303#1#4 = E303#ecetondudex | \(\left.\begin{matrix}\underbrace{10^{...^{10^{303}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{303}}}} \\ 10^{303}\quad 10's \end{matrix} \right \} \text{4 layers}\) | f33(f2(997)) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^{\omega^2\times3}}}}}(10)\) |
| googolplexitridex | E100#2#4 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{100}}\quad 10's \end{matrix} \right \} \text{4 layers}\) | f33(f22(324)) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^{\omega^{\omega^2}}}}}}(10)\) |
| googolduplexitridex | E100#3#4 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{10^{100}}}\quad 10's \end{matrix} \right \} \text{4 layers}\) | f33(f23(324)) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\omega^{\omega^{\omega^{\omega^2}}}}}}}(10)\) |
| penta-taxis | E1#1#5 = E1#(E1#(E1#(E1#10))) = E1#tetra-taxis | \(10\uparrow^3 5\) | f34(9) | \(g_{\varepsilon_{\varepsilon_{\varepsilon_{\varepsilon_0}}}}(10)\) |
| grangoltridex | E100#100#4 = E100#(E100#100#3) = E100#grangoldudex | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100} } } } \\ 100\quad 10's \end{matrix} \right \} \text{5 layers}\) | f34(100) | |
| grangoltridexichime | E1000#1000#4 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{1000} } } } \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{1000} } } } \\ 1000\quad 10's \end{matrix} \right \} \text{5 layers}\) | f34(1000) | |
| grangoltridexitoll | E10,000#10,000#4 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{10000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{10000}}}} \\ 10000\quad 10's \end{matrix} \right \} \text{5 layers}\) | f34(10,000) | |
| grangoltridexigong | E100,000#100,000#4 = E100,000#grangoldudexigong | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100000} } } } \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100000}}}} \\ 100000\quad 10's \end{matrix} \right \} \text{5 layers}\) | f34(100,000) | |
| googolquadridex | E100#1#5 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100} } } } \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100} } } } \\ 10^{100}\quad 10's \end{matrix} \right \} \text{5 layers}\) | f34(f2(324)) | |
| ecetonquadridex | E303#1#5 = E303#ecetontridex | \(\left.\begin{matrix}\underbrace{10^{...^{10^{303}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{303}}}} \\ 10^{303}\quad 10's \end{matrix} \right \} \text{5 layers}\) | f34(f2(997)) | |
| googolplexiquadridex | E100#2#5 | \(\left.\begin{matrix} \underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{100}}\quad 10's \end{matrix} \right \} \text{5 layers}\) | f34(f22(324)) | |
| googolduplexiquadridex | E100#3#5 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{10^{100}}}\quad 10's \end{matrix} \right \} \text{5 layers}\) | f34(f23(324)) | |
| hexa-taxis | E1#1#6 = E1#(E1#(E1#(E1#(E1#10)))) = E1#penta-taxis | \(10\uparrow^3 6\) | f35(9) | |
| grangolquadridex | E100#100#5 = E100#(E100#100#4) = E100#grangoltridex | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 100\quad 10's \end{matrix} \right \} \text{6 layers}\) | f35(100) | |
| grangolquadridexichime | E1000#1000#5 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{1000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{1000}}}} \\ 1000\quad 10's \end{matrix} \right \} \text{6 layers}\) | f35(1000) | |
| grangolquadridexitoll | E10,000#10,000#5 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{10000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{10000}}}} \\ 10000\quad 10's \end{matrix} \right \} \text{6 layers}\) | f35(10,000) | |
| grangolquadridexigong | E100,000#100,000#5 = E100,000#grangoltridexigong | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100000}}}} \\ 100000\quad 10's \end{matrix} \right \} \text{6 layers}\) | f35(100,000) | |
| googolquintidex | E100#1#6 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{100}\quad 10's \end{matrix} \right \} \text{6 layers}\) | f35(f2(324)) | |
| ecetonquintidex | E303#1#6 = E303#ecetonquadridex | \(\left.\begin{matrix}\underbrace{10^{...^{10^{303}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{303}}}} \\ 10^{303}\quad 10's \end{matrix} \right \} \text{6 layers}\) | f35(f2(997)) | |
| googolplexiquintidex | E100#2#6 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{100}}\quad 10's \end{matrix} \right \} \text{6 layers}\) | f35(f22(324)) | |
| googolduplexiquintidex | E100#3#6 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{10^{100}}}\quad 10's \end{matrix} \right \} \text{6 layers}\) | f35(f23(324)) | |
| hepta-taxis | E1#1#7 = E1#hexa-taxis | \(10\uparrow^3 7\) | f36(9) | |
| grangolquintidex | E100#100#6 = E100#(E100#100#5) = E100#grangolquadridex | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 100\quad 10's \end{matrix} \right \} \text{7 layers}\) | f36(100) | |
| grangolquintidexichime | E1000#1000#6 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{1000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{1000}}}} \\ 1000\quad 10's \end{matrix} \right \} \text{7 layers}\) | f36(1000) | |
| grangolquintidexitoll | E10,000#10,000#6 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{10000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{10000}}}} \\ 10000\quad 10's \end{matrix} \right \} \text{7 layers}\) | f36(10,000) | |
| grangolquintidexigong | E100,000#100,000#6 = E100,000#grangolquadridexigong | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100000}}}} \\ 100000\quad 10's \end{matrix} \right \} \text{7 layers}\) | f36(100,000) | |
| googolsextidex | E100#1#7 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{100}\quad 10's \end{matrix} \right \} \text{7 layers}\) | f36(f2(324)) | |
| ecetonsextidex | E303#1#7 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{303}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{303}}}} \\ 10^{303}\quad 10's \end{matrix} \right \} \text{7 layers}\) | f36(f2(997)) | |
| googolplexisextidex | E100#2#7 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{100}}\quad 10's \end{matrix} \right \} \text{7 layers}\) | f36(f22(324)) | |
| googolduplexisextidex | E100#3#7 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{10^{100}}}\quad 10's \end{matrix} \right \} \text{7 layers}\) | f36(f23(324)) | |
| octa-taxis | E1#1#8 = E1#hepta-taxis | \(10\uparrow^3 8\) | f37(9) | |
| grangolsextidex | E100#100#7 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 100\quad 10's \end{matrix} \right \} \text{8 layers}\) | f37(100) | |
| grangolsextidexichime | E1000#1000#7 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{1000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{1000}}}} \\ 1000\quad 10's \end{matrix} \right \} \text{8 layers}\) | f37(1000) | |
| grangolsextidexitoll | E10,000#10,000#7 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{10000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{10000}}}} \\ 10000\quad 10's \end{matrix} \right \} \text{8 layers}\) | f37(10,000) | |
| grangolsextidexigong | E100,000#100,000#7 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100000}}}} \\ 100000\quad 10's \end{matrix} \right \} \text{8 layers}\) | f37(100,000) | |
| googolseptidex | E100#1#8 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{100}\quad 10's \end{matrix} \right \} \text{8 layers}\) | f37(f2(324)) | |
| ecetonseptidex | E303#1#8 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{303}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{303}}}} \\ 10^{303}\quad 10's \end{matrix} \right \} \text{8 layers}\) | f37(f2(997)) | |
| googolplexiseptidex | E100#2#8 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{100}}\quad 10's \end{matrix} \right \} \text{8 layers}\) | f37(f22(324)) | |
| googolduplexiseptidex | E100#3#8 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{10^{100}}}\quad 10's \end{matrix} \right \} \text{8 layers}\) | f37(f23(324)) | |
| enna-taxis | E1#1#9 = E1#octa-taxis | \(10\uparrow^3 9\) | f38(9) | |
| grangolseptidex | E100#100#8 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 100\quad 10's \end{matrix} \right \} \text{9 layers}\) | f38(100) | |
| grangolseptidexichime | E1000#1000#8 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{1000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{1000}}}} \\ 1000\quad 10's \end{matrix} \right \} \text{9 layers}\) | f38(1000) | |
| grangolseptidexitoll | E10,000#10,000#8 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{10000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{10000}}}} \\ 10000\quad 10's\end{matrix}\right \} \text{9 layers}\) | f38(10,000) | |
| grangolseptidexigong | E100,000#100,000#8 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100000}}}} \\ 100000\quad 10's \end{matrix} \right \} \text{9 layers}\) | f38(100,000) | |
| googoloctidex | E100#1#9 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{100}\quad 10's \end{matrix} \right \} \text{9 layers}\) | f38(f2(324)) | |
| ecetonoctidex | E303#1#9 | \(\left.\begin{matrix} \underbrace{10^{...^{10^{303}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{303}}}} \\ 10^{303}\quad 10's \end{matrix} \right \} \text{9 layers}\) | f38(f2(997)) | |
| googolplexioctidex | E100#2#9 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{100}}\quad 10's \end{matrix} \right \} \text{9 layers}\) | f38(f22(324)) | |
| googolduplexioctidex | E100#3#9 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{10^{100}}}\quad 10's \end{matrix} \right \} \text{9 layers}\) | f38(f23(324)) | |
| deka-taxis | E1#1#10 = E1#enna-taxis | \(10\uparrow^3 10\) | f39(9) | |
| grangoloctidex | E100#100#9 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 100\quad 10's \end{matrix} \right \} \text{10 layers}\) | f39(100) | |
| grangoloctidexichime | E1000#1000#9 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{1000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{1000}}}} \\ 1000\quad 10's \end{matrix} \right \} \text{10 layers}\) | f39(1000) | |
| grangoloctidexitoll | E10,000#10,000#9 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{10000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{10000}}}} \\ 10000\quad 10's \end{matrix} \right \} \text{10 layers}\) | f39(10,000) | |
| grangoloctidexigong | E100,000#100,000#9 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100000}}}} \\ 100000\quad 10's \end{matrix} \right \} \text{10 layers}\) | f39(100,000) | |
| googolnonidex | E100#1#10 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{100}\quad 10's \end{matrix}\right \} \text{10 layers}\) | f39(f2(324)) | |
| ecetonnonidex | E303#1#10 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{303}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{303}}}} \\ 10^{303}\quad 10's \end{matrix} \right \} \text{10 layers}\) | f39(f2(997)) | |
| googolplexinonidex | E100#2#10 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{100}}\quad 10's \end{matrix}\right \} \text{10 layers}\) | f39(f22(324)) | |
| googolduplexinonidex | E100#3#10 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{10^{100}}}\quad 10's\end{matrix}\right \} \text{10 layers}\) | f39(f23(324)) | |
| grangolnonidex | E100#100#10 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 100\quad 10's \end{matrix}\right \} \text{11 layers}\) | f310(100) | |
| grangolnonidexichime | E1000#1000#10 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{1000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{1000}}}} \\ 1000\quad 10's \end{matrix} \right \} \text{11 layers}\) | f310(1000) | |
| grangolnonidexitoll | E10,000#10,000#10 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{10000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{10000}}}} \\ 10000\quad 10's \end{matrix} \right \} \text{11 layers}\) | f310(10,000) | |
| grangolnonidexigong | E100,000#100,000#10 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100000}}}} \\ 100000\quad 10's \end{matrix}\right \} \text{11 layers}\) | f310(100,000) | |
| googoldecidex | E100#1#11 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{100}\quad 10's \end{matrix} \right \} \text{11 layers}\) | f310(f2(324)) | |
| ecetondecidex | E303#1#11 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{303}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{303}}}} \\ 10^{303}\quad 10's \end{matrix} \right \} \text{11 layers}\) | f310(f2(997)) | |
| googolplexidecidex | E100#2#11 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{100}}\quad 10's \end{matrix} \right \} \text{11 layers}\) | f310(f22(324)) | |
| googolduplexidecidex | E100#3#11 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 10^{10^{10^{100}}}\quad 10's \end{matrix} \right \} \text{11 layers}\) | f310(f23(324)) | |
| grangoldecidex | E100#100#11 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100}}}} \\ 100\quad 10's \end{matrix} \right \} \text{12 layers}\) | f4(11) | |
| grangoldecidexichime | E1000#1000#11 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{1000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{1000}}}} \\ 1000\quad 10's \end{matrix} \right \} \text{12 layers}\) | f4(11) | |
| grangoldecidexitoll | E10,000#10,000#11 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{10000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{10000}}}} \\ 10000\quad 10's \end{matrix} \right \} \text{12 layers}\) | f4(11) | |
| grangoldecidexigong | E100,000#100,000#11 | \(\left.\begin{matrix}\underbrace{10^{...^{10^{100000}}}} \\ \underbrace{\quad\;\; \vdots \quad\;\;} \\ \underbrace{10^{...^{10^{100000}}}} \\ 100000\quad 10's \end{matrix} \right \} \text{12 layers}\) | f4(11) | |
| hecta-taxis | E1#1#100 | \(10\uparrow^3 100\) | f4(100) | |
| chilia-taxis | E1#1#1000 | \(10\uparrow^3 1000\) | f4(1000) | |
| myria-taxis | E1#1#10,000 | \(10\uparrow^3 10000\) | f4(10,000) | |
| chilia-chilia-taxis | E1#1#1,000,000 | \(10\uparrow^3 1000000\) | f4(106) | |
| chilia-myria-taxis | E1#1#10,000,000 | \(10\uparrow^3 10000000\) | f4(107) | |
| myria-myria-taxis | E1#1#100,000,000 | \(10\uparrow^3 100000000\) | f4(108) | |
| sedeniadia-taxis | E1#1#(10^16) | \(10\uparrow^3 10^{16}\) | f4(1016) | |
| googolia-taxis | E1#1#(10^100) | \(10\uparrow^3 10^{100}\) | f4(f2(324)) | |
| trialogia-taxis | E1#1#(10^10^10) | \(10\uparrow^3 10^{10^{10}}\) | f4(f22(30)) | |
| googolplexia-taxis | E1#1#(10^10^100) | \(10\uparrow^3 10^{10^{100}}\) | f4(f22(324)) | |
| tetralogia-taxis | E1#1#(10^10^10^10) | \(10\uparrow^3 10^{10^{10^{10}}}\) | f4(f23(30)) | |
| googolduplexia-taxis | E1#1#(10^10^10^100) | \(10\uparrow^3 10^{10^{10^{100}}}\) | f4(f23(324)) | |
| pentalogia-taxis | E1#1#(10^10^10^10^10) | \(10\uparrow^3 10^{10^{10^{10^{10}}}}\) | f4(f24(30)) | |
| googoltriplexia-taxis | E1#1#(10^10^10^10^100) | \(10\uparrow^3 10^{10^{10^{10^{100}}}}\) | f4(f24(324)) | |
| hexalogia-taxis | E1#1#(E1#6) = 10^^^10^^6 | \(10\uparrow^3 10\uparrow^2 6\) | f4(f25(30)) | |
| heptalogia-taxis | E1#1#(E1#7) = 10^^^10^^7 | \(10\uparrow^3 10\uparrow^2 7\) | f4(f26(30)) | |
| octalogia-taxis | E1#1#(E1#8) = 10^^^10^^8 | \(10\uparrow^3 10\uparrow^2 8\) | f4(f27(30)) | |
| ennalogia-taxis | E1#1#(E1#9) = 10^^^10^^9 | \(10\uparrow^3 10\uparrow^2 9\) | f4(f28(30)) | |
| dekalogia-taxis | E1#1#(E1#10) = 10^^^10^^10 = 10^^^10^^^2 | \(10\uparrow^3 10\uparrow^3 2\) | f4(f3(9)) | |
| triataxia-taxis | E1#1#(E1#1#3) = E1#1#3#2 = 10^^^10^^^3 | \(10\uparrow^3 10\uparrow^3 3\) | f4(f32(9)) | |
| dekataxia-taxis | E1#1#10#2 = E1#1#1#3 = 10^^^10^^^10 | \(10\uparrow^3 10\uparrow^3 10\) | f42(9) | |
| hectataxia-taxis | E1#1#100#2 = 10^^^10^^^100 | \(10\uparrow^3 10\uparrow^3 100\) | f42(99) | |
| triataxiataxia-taxis | E1#1#3#3 = 10^^^10^^^10^^^3 | \(10\uparrow^3 10\uparrow^3 10\uparrow^3 3\) | f42(f23(9)) | |
| dekataxiataxia-taxis | E1#1#10#3 = E1#1#1#4 = 10^^^10^^^10^^^10 | \(10\uparrow^3 10\uparrow^3 10\uparrow^3 10\) | f42(f3(10)) | |
| hectataxiataxia-taxis | E1#1#100#3 = 10^^^10^^^10^^^100 | \(10\uparrow^3 10\uparrow^3 10\uparrow^3 100\) | f42(f3(100)) |
Etymology[]
| Parts of names | Meaning |
|---|---|
| tria | 3 |
| tetra | 4 |
| penta | 5 |
| hexa | 6 |
| hepta | 7 |
| octa | 8 |
| enna | 9 |
| deka | 10 |
| hecta | 100 |
| chilia | 1000 |
| myria | 10000 |
| ding | multiply the base value by 5 |
| chime | multiply the base value by 10 |
| bell | multiply the base value by 50 |
| toll | multiply the base value by 100 |
| gong | multiply the base value by 1000 |
| bong | multiply the base value by \(10^6\) |
| throng | multiply the base value by \(10^9\) |
| gandingan | multiply the base value by \(10^{12}\) |
Sources[]
- ↑ Sbiis Saibian, 4.3.2 - Hyper-E Numbers
Saibian's regiments
Hyper-E regiments: Guppy regiment · Grangol regiment · Greagol regiment · Gigangol regiment · Gorgegol regiment · Gulgol regiment · Gaspgol regiment · Ginorgol regiment · Gargantuul regiment · Googondol regiment
Extended Hyper-E regiments: Gugold regiment · Graatagold regiment · Greegold regiment · Grinningold regiment · Golaagold regiment · Gruelohgold regiment · Gaspgold regiment · Ginorgold regiment · Gargantuuld regiment · Googondold regiment · Gugolthra regiment · Throogol regiment · Tetroogol regiment · Pentoogol regiment · Hexoogol regiment · Heptoogol regiment · Ogdoogol regiment · Entoogol regiment · Dektoogol regiment
Cascading-E regiments: Godgahlah regiment · Gridgahlah regiment · Kubikahlah regiment · Quarticahlah regiment · Quinticahlah regiment · Sexticahlah regiment · Septicahlah regiment · Octicahlah regiment · Nonicahlah regiment · Decicahlah regiment · Godgathor regiment · Gralgathor regiment · Thraelgathor regiment · Terinngathor regiment · Pentaelgathor regiment · Hexaelgathor regiment · Heptaelgathor regiment · Octaelgathor regiment · Ennaelgathor regiment · Dekaelgathor regiment · Godtothol regiment · Godtertol regiment · Godtopol regiment · Godhathor regiment · Godheptol regiment · Godoctol regiment · Godentol regiment · Goddekathol regiment
Extended Cascading-E regiments: Tethrathoth regiment · Monster-Giant regiment · Tethriterator regiment · Tethracross regiment · Tethracubor regiment · Tethrateron regiment · Tethrapeton regiment · Tethrahexon regiment · Tethrahepton regiment · Tethra-ogdon regiment · Tethrennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentacthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptacthulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment
Beyond...: Blasphemorgulus regiment
Redstonepillager's extensions: Extended Gridgahlah regiment · Tethratopothoth regiment · Godsgodgulus regiment · Blasphemorgulus regiment · Blasphemordeugulus regiment · Ominongulus regiment