Grangol regiment

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).Sbiis Saibian, 4.3.2 - Hyper-E Numbers The numbers were coined by Sbiis Saibian.
Previous regiment	Next regiment
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 ==
Category:Saibian's regiments
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Hyper-E numbers
Category:Up-arrow notation level
Category:Tetration level
Category:Series