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The tethracubor regiment is a series of numbers from E100#^^###100 to E100#^^####90 defined using Extended Cascading-E Notation (i.e. beginning from tethracubor and up to enenintastaculated-tethracubor).[1] The numbers were coined by Sbiis Saibian.

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Tethracross regiment Tethrateron regiment

List of numbers of the regiment

Name of number Extended Cascading-E Notation (definition) Fast-growing hierarchy (approximation) Hardy hierarchy (approximation)
tethracubor, tethratertia E100#^^###100 \(f_{\eta_0}(100)\) \(H_{\eta_0}(100)\)
grand tethracubor E100#^^###100#2 \(f^2_{\eta_0}(100)\) \(H_{\eta_0\times2}(100)\)
grangol-carta-tethracubor E100#^^###100#100 \(f_{\eta_0+1}(100)\) \(H_{\eta_0\times\omega}(100)\)
grand grangol-carta-tethracubor E100#^^###100#100#2 \(f^2_{\eta_0+1}(100)\) \(H_{\eta_0\times\omega\times2}(100)\)
godgahlah-carta-tethracubor E100#^^###100#^#100 \(f_{\eta_0+\omega^\omega}(100)\) \(H_{\eta_0\times\omega^{\omega^\omega}}(100)\)
tethrathoth-carta-tethracubor E100#^^###100#^^#100 \(f_{\eta_0+\varepsilon_0}(100)\) \(H_{\eta_0\times\varepsilon_0}(100)\)
tethriterator-carta-tethracubor E100#^^###100#^^#>#100 \(f_{\eta_0+\varepsilon_\omega}(100)\) \(H_{\eta_0\times\varepsilon_\omega}(100)\)
tethracross-carta-tethracubor E100#^^###100#^^##100 \(f_{\eta_0+\zeta_0}(100)\) \(H_{\eta_0\times\zeta_0}(100)\)
tethracubor-by-deuteron E100#^^###100#^^###100 \(f_{\eta_0\times2}(100)\) \(H_{\eta_0^2}(100)\)
tethracubor-by-triton E100#^^###100#^^###100#^^###100 \(f_{\eta_0\times3}(100)\) \(H_{\eta_0^3}(100)\)
tethracubor-by-teterton E100#^^###*#5 \(f_{\eta_0\times4}(100)\) \(H_{\eta_0^4}(100)\)
tethracubor-by-pepton E100#^^###*#6 \(f_{\eta_0\times5}(100)\) \(H_{\eta_0^5}(100)\)
tethracubor-by-exton E100#^^###*#7 \(f_{\eta_0\times6}(100)\) \(H_{\eta_0^6}(100)\)
tethracubor-by-epton E100#^^###*#8 \(f_{\eta_0\times7}(100)\) \(H_{\eta_0^7}(100)\)
tethracubor-by-ogdon E100#^^###*#9 \(f_{\eta_0\times8}(100)\) \(H_{\eta_0^8}(100)\)
tethracubor-by-enton E100#^^###*#10 \(f_{\eta_0\times9}(100)\) \(H_{\eta_0^9}(100)\)
tethracubor-by-dekaton E100#^^###*#11 \(f_{\eta_0\times10}(100)\) \(H_{\eta_0^{10}}(100)\)
tethracubor-by-hyperion E100#^^###*#100 \(f_{\eta_0\times\omega}(100)\) \(H_{\eta_0^\omega}(100)\)
tethracubor-by-hecaton E100#^^###*#101 \(f_{\eta_0\times101}(100)\) \(H_{\eta_0^{101}}(100)\)
tethracubor-by-deutero-hyperion E100#^^###*##100 \(f_{\eta_0\times\omega^2}(100)\) \(H_{\eta_0^{\omega^2}}(100)\)
tethracubor-by-trito-hyperion E100#^^###*###100 \(f_{\eta_0\times\omega^3}(100)\) \(H_{\eta_0^{\omega^3}}(100)\)
tethracubor-by-teterto-hyperion E100#^^###*####100 \(f_{\eta_0\times\omega^4}(100)\) \(H_{\eta_0^{\omega^4}}(100)\)
tethracubor-by-godgahlah E100#^^###*#^#100 \(f_{\eta_0\times\omega^\omega}(100)\) \(H_{\eta_0^{\omega^\omega}}(100)\)
tethracubor-by-gridgahlah E100#^^###*#^##100 \(f_{\eta_0\times\omega^{\omega^2}}(100)\) \(H_{\eta_0^{\omega^{\omega^2}}}(100)\)
tethracubor-by-godgathor E100#^^###*#^#^#100 \(f_{\eta_0\times\omega^{\omega^\omega}}(100)\) \(H_{\eta_0^{\omega^{\omega^\omega}}}(100)\)
tethracubor-by-godtothol E100#^^###*#^#^#^#100 \(f_{\eta_0\times\omega^{\omega^{\omega^\omega}}}(100)\) \(H_{\eta_0^{\omega^{\omega^{\omega^\omega}}}}(100)\)
tethracubor-by-tethrathoth E100#^^###*#^^#100 \(f_{\eta_0\times\varepsilon_0}(100)\) \(H_{\eta_0^{\varepsilon_0}}(100)\)
tethracubor-by-Monster-Giant E100#^^###*(#^^#)^(#^^#)^#100 \(f_{\eta_0\times\varepsilon_0^{\varepsilon_0^\omega}}(100)\) \(H_{\eta_0^{\varepsilon_0^{\varepsilon_0^\omega}}}(100)\)
tethracubor-by-terrible-tethrathoth E100#^^###*(#^^#)^^#100 \(f_{\eta_0\times\varepsilon_1}(100)\) \(H_{\eta_0^{\varepsilon_1}}(100)\)
tethracubor-by-Behemoth-Giant E100#^^###*(#^^#>2)^(#^^#>2)^#100 \(f_{\eta_0\times\varepsilon_1^{\varepsilon_1^\omega}}(100)\) \(H_{\eta_0^{\varepsilon_1^{\varepsilon_1^\omega}}}(100)\)
tethracubor-by-terrible-terrible-tethrathoth E100#^^###*(#^^#>3)100 \(f_{\eta_0\times\varepsilon_2}(100)\) \(H_{\eta_0^{\varepsilon_2}}(100)\)
tethracubor-by-Trihemoth-Giant E100#^^###*(#^^#>3)^(#^^#>3)^#100 \(f_{\eta_0\times\varepsilon_2^{\varepsilon_2^\omega}}(100)\) \(H_{\eta_0^{\varepsilon_2^{\varepsilon_2^\omega}}}(100)\)
tethracubor-by-tethriterator E100#^^###*#^^#>#100 \(f_{\eta_0\times\varepsilon_\omega}(100)\) \(H_{\eta_0^{\varepsilon_\omega}}(100)\)
tethracubor-by-dustaculated-tethrathoth E100#^^###*#^^#>#^^#100 \(f_{\eta_0\times\varepsilon_{\varepsilon_0}}(100)\) \(H_{\eta_0^{\varepsilon_{\varepsilon_0}}}(100)\)
tethracubor-by-tethracross E100#^^###*#^^##100 \(f_{\eta_0\times\zeta_0}(100)\) \(H_{\eta_0^{\zeta_0}}(100)\)
tethracubor-by-tethritercross E100#^^###*#^^##>#100 \(f_{\eta_0\times\zeta_\omega}(100)\) \(H_{\eta_0^{\zeta_\omega}}(100)\)
tethracubor-by-dustaculated-tethracross E100#^^###*#^^#>#^^##100 \(f_{\eta_0\times\zeta_{\zeta_0}}(100)\) \(H_{\eta_0^{\zeta_{\zeta_0}}}(100)\)
deutero-tethracubor E100#^^###*#^^###100 \(f_{\eta_0^2}(100)\) \(H_{\eta_0^{\eta_0}}(100)\)
trito-tethracubor E100#^^###*#^^###*#^^###100 \(f_{\eta_0^3}(100)\) \(H_{\eta_0^{\eta_0^2}}(100)\)
teterto-tethracubor E100#^^###*#^^###*#^^###*#^^###100 \(f_{\eta_0^4}(100)\) \(H_{\eta_0^{\eta_0^3}}(100)\)
pepto-tethracubor E100(#^^###)^#5 \(f_{\eta_0^5}(100)\) \(H_{\eta_0^{\eta_0^4}}(100)\)
exto-tethracubor E100(#^^###)^#6 \(f_{\eta_0^6}(100)\) \(H_{\eta_0^{\eta_0^6}}(100)\)
epto-tethracubor E100(#^^###)^#7 \(f_{\eta_0^7}(100)\) \(H_{\eta_0^{\eta_0^6}}(100)\)
ogdo-tethracubor E100(#^^###)^#8 \(f_{\eta_0^8}(100)\) \(H_{\eta_0^{\eta_0^7}}(100)\)
ento-tethracubor E100(#^^###)^#9 \(f_{\eta_0^9}(100)\) \(H_{\eta_0^{\eta_0^8}}(100)\)
dekato-tethracubor E100(#^^###)^#10 \(f_{\eta_0^{10}}(100)\) \(H_{\eta_0^{\eta_0^9}}(100)\)
isosto-tethracubor E100(#^^###)^#20 \(f_{\eta_0^{20}}(100)\) \(H_{\eta_0^{\eta_0^{19}}}(100)\)
trianto-tethracubor E100(#^^###)^#30 \(f_{\eta_0^{30}}(100)\) \(H_{\eta_0^{\eta_0^{29}}}(100)\)
saranto-tethracubor E100(#^^###)^#40 \(f_{\eta_0^{40}}(100)\) \(H_{\eta_0^{\eta_0^{39}}}(100)\)
peninto-tethracubor E100(#^^###)^#50 \(f_{\eta_0^{50}}(100)\) \(H_{\eta_0^{\eta_0^{49}}}(100)\)
exinto-tethracubor E100(#^^###)^#60 \(f_{\eta_0^{60}}(100)\) \(H_{\eta_0^{\eta_0^{59}}}(100)\)
ebdominto-tethracubor E100(#^^###)^#70 \(f_{\eta_0^{70}}(100)\) \(H_{\eta_0^{\eta_0^{69}}}(100)\)
ogdonto-tethracubor E100(#^^###)^#80 \(f_{\eta_0^{80}}(100)\) \(H_{\eta_0^{\eta_0^{79}}}(100)\)
eneninto-tethracubor E100(#^^###)^#90 \(f_{\eta_0^{90}}(100)\) \(H_{\eta_0^{\eta_0^{89}}}(100)\)
hecato-tethracubor, tethracuborfact E100(#^^###)^#100 \(f_{\eta_0^\omega}(100)\) \(H_{\eta_0^{\eta_0^\omega}}(100)\)
grideutertethracubor E100(#^^###)^##100 \(f_{\eta_0^{\omega^2}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^2}}}(100)\)
kubicutethracubor E100(#^^###)^###100 \(f_{\eta_0^{\omega^3}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^3}}}(100)\)
quarticutethracubor E100(#^^###)^####100 \(f_{\eta_0^{\omega^4}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^4}}}(100)\)
quinticutethracubor E100(#^^###)^#^#5 \(f_{\eta_0^{\omega^5}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^5}}}(100)\)
sexticutethracubor E100(#^^###)^#^#6 \(f_{\eta_0^{\omega^6}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^6}}}(100)\)
septicutethracubor E100(#^^###)^#^#7 \(f_{\eta_0^{\omega^7}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^7}}}(100)\)
octicutethracubor E100(#^^###)^#^#8 \(f_{\eta_0^{\omega^8}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^8}}}(100)\)
nonicutethracubor E100(#^^###)^#^#9 \(f_{\eta_0^{\omega^9}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^9}}}(100)\)
decicutethracubor E100(#^^###)^#^#10 \(f_{\eta_0^{\omega^{10}}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^{10}}}}(100)\)
tethracuborgodgathored E100(#^^###)^#^#100 \(f_{\eta_0^{\omega^\omega}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^\omega}}}(100)\)
tethracuborgralgathored E100(#^^###)^#^##100 \(f_{\eta_0^{\omega^{\omega^2}}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^{\omega^2}}}}(100)\)
tethracuborgodtotholed E100(#^^###)^#^#^#100 \(f_{\eta_0^{\omega^{\omega^\omega}}}(100)\) \(H_{\eta_0^{\eta_0^{\omega^{\omega^\omega}}}}(100)\)
tethracubor-isptethrathoth E100(#^^###)^#^^#100 \(f_{\eta_0^{\varepsilon_0}}(100)\) \(H_{\eta_0^{\eta_0^{\varepsilon_0}}}(100)\)
tethracubor-isptethriterator E100(#^^###)^#^^#>#100 \(f_{\eta_0^{\varepsilon_\omega}}(100)\) \(H_{\eta_0^{\eta_0^{\varepsilon_\omega}}}(100)\)
tethracubor-isptethracross E100(#^^###)^#^^##100 \(f_{\eta_0^{\zeta_0}}(100)\) \(H_{\eta_0^{\eta_0^{\zeta_0}}}(100)\)
tethracubor-isptethritercross E100(#^^###)^#^^##>#100 \(f_{\eta_0^{\zeta_\omega}}(100)\) \(H_{\eta_0^{\eta_0^{\zeta_\omega}}}(100)\)
tethracubor-isptethracubor, dutetrated-tethracubor E100(#^^###)^(#^^###)100 \(f_{\eta_0^{\eta_0}}(100)\) \(H_{\eta_0^{\eta_0^{\eta_0}}}(100)\)
Monster-Tethracubor E100(#^^###)^(#^^###)^#100 \(f_{\eta_0^{\eta_0^\omega}}(100)\) \(H_{\eta_0^{\eta_0^{\eta_0^\omega}}}(100)\)
tritetrated-tethracubor E100(#^^###)^(#^^###)^(#^^###)100 \(f_{\eta_0^{\eta_0^{\eta_0}}}(100)\) \(H_{\eta_0^{\eta_0^{\eta_0^{\eta_0}}}}(100)\)
quadratetrated-tethracubor E100(#^^###)^^#4 \(f_{\eta_0\uparrow\uparrow4}(100)\) \(H_{\eta_0\uparrow\uparrow5}(100)\)
quinquatetrated-tethracubor E100(#^^###)^^#5 \(f_{\eta_0\uparrow\uparrow5}(100)\) \(H_{\eta_0\uparrow\uparrow6}(100)\)
sexatetrated-tethracubor E100(#^^###)^^#6 \(f_{\eta_0\uparrow\uparrow6}(100)\) \(H_{\eta_0\uparrow\uparrow7}(100)\)
septatetrated-tethracubor E100(#^^###)^^#7 \(f_{\eta_0\uparrow\uparrow7}(100)\) \(H_{\eta_0\uparrow\uparrow8}(100)\)
octatetrated-tethracubor E100(#^^###)^^#8 \(f_{\eta_0\uparrow\uparrow8}(100)\) \(H_{\eta_0\uparrow\uparrow9}(100)\)
nonatetrated-tethracubor E100(#^^###)^^#9 \(f_{\eta_0\uparrow\uparrow9}(100)\) \(H_{\eta_0\uparrow\uparrow10}(100)\)
decatetrated-tethracubor E100(#^^###)^^#10 \(f_{\eta_0\uparrow\uparrow10}(100)\) \(H_{\eta_0\uparrow\uparrow11}(100)\)
vigintatetrated-tethracubor E100(#^^###)^^#20 \(f_{\eta_0\uparrow\uparrow20}(100)\) \(H_{\eta_0\uparrow\uparrow21}(100)\)
trigintatetrated-tethracubor E100(#^^###)^^#30 \(f_{\eta_0\uparrow\uparrow30}(100)\) \(H_{\eta_0\uparrow\uparrow31}(100)\)
quadragintatetrated-tethracubor E100(#^^###)^^#40 \(f_{\eta_0\uparrow\uparrow40}(100)\) \(H_{\eta_0\uparrow\uparrow41}(100)\)
quinquagintatetrated-tethracubor E100(#^^###)^^#50 \(f_{\eta_0\uparrow\uparrow50}(100)\) \(H_{\eta_0\uparrow\uparrow51}(100)\)
sexagintatetrated-tethracubor E100(#^^###)^^#60 \(f_{\eta_0\uparrow\uparrow60}(100)\) \(H_{\eta_0\uparrow\uparrow61}(100)\)
septuagintatetrated-tethracubor E100(#^^###)^^#70 \(f_{\eta_0\uparrow\uparrow70}(100)\) \(H_{\eta_0\uparrow\uparrow71}(100)\)
octogintatetrated-tethracubor E100(#^^###)^^#80 \(f_{\eta_0\uparrow\uparrow80}(100)\) \(H_{\eta_0\uparrow\uparrow81}(100)\)
nonagintatetrated-tethracubor E100(#^^###)^^#90 \(f_{\eta_0\uparrow\uparrow90}(100)\) \(H_{\eta_0\uparrow\uparrow91}(100)\)
terrible tethracubor E100(#^^###)^^#100 \(f_{\varepsilon_{\eta_0+1}}(100)\) \(H_{\varepsilon_{\eta_0+1}}(100)\)
terrible terrible tethracubor E100((#^^###)^^#)^^#100 \(f_{\varepsilon_{\eta_0+2}}(100)\) \(H_{\varepsilon_{\eta_0+2}}(100)\)
hundred-ex-terrible tethracubor, tethriterated-tethracubor E100(#^^###)^^#>#100 \(f_{\varepsilon_{\eta_0+\omega}}(100)\) \(H_{\varepsilon_{\eta_0+\omega}}(100)\)
dustaculated-territethracubor E100(#^^###)^^#>(#^^###)^^#100 \(f_{\varepsilon_{\varepsilon_{\eta_0+1}}}(100)\) \(H_{\varepsilon_{\varepsilon_{\eta_0+1}}}(100)\)
tristaculated-territethracubor E100(#^^###)^^#>(#^^###)^^#>(#^^###)^^#100 \(f_{\varepsilon_{\varepsilon_{\varepsilon_{\eta_0+1}}}}(100)\) \(H_{\varepsilon_{\varepsilon_{\varepsilon_{\eta_0+1}}}}(100)\)
tetrastaculated-territethracubor E100(#^^###)^^##4 \(f_{\zeta_{\eta_0+1}[4]}(100)\) \(H_{\zeta_{\eta_0+1}[4]}(100)\)
pentastaculated-territethracubor E100(#^^###)^^##5 \(f_{\zeta_{\eta_0+1}[5]}(100)\) \(H_{\zeta_{\eta_0+1}[5]}(100)\)
hexastaculated-territethracubor E100(#^^###)^^##6 \(f_{\zeta_{\eta_0+1}[6]}(100)\) \(H_{\zeta_{\eta_0+1}[6]}(100)\)
heptastaculated-territethracubor E100(#^^###)^^##7 \(f_{\zeta_{\eta_0+1}[7]}(100)\) \(H_{\zeta_{\eta_0+1}[7]}(100)\)
ogdastaculated-territethracubor E100(#^^###)^^##8 \(f_{\zeta_{\eta_0+1}[8]}(100)\) \(H_{\zeta_{\eta_0+1}[8]}(100)\)
ennastaculated-territethracubor E100(#^^###)^^##9 \(f_{\zeta_{\eta_0+1}[9]}(100)\) \(H_{\zeta_{\eta_0+1}[9]}(100)\)
dekastaculated-territethracubor E100(#^^###)^^##10 \(f_{\zeta_{\eta_0+1}[10]}(100)\) \(H_{\zeta_{\eta_0+1}[10]}(100)\)
icosastaculated-territethracubor E100(#^^###)^^##20 \(f_{\zeta_{\eta_0+1}[20]}(100)\) \(H_{\zeta_{\eta_0+1}[20]}(100)\)
triantastaculated-territethracubor E100(#^^###)^^##30 \(f_{\zeta_{\eta_0+1}[30]}(100)\) \(H_{\zeta_{\eta_0+1}[30]}(100)\)
sarantastaculated-territethracubor E100(#^^###)^^##40 \(f_{\zeta_{\eta_0+1}[40]}(100)\) \(H_{\zeta_{\eta_0+1}[40]}(100)\)
penintastaculated-territethracubor E100(#^^###)^^##50 \(f_{\zeta_{\eta_0+1}[50]}(100)\) \(H_{\zeta_{\eta_0+1}[50]}(100)\)
exintastaculated-territethracubor E100(#^^###)^^##60 \(f_{\zeta_{\eta_0+1}[60]}(100)\) \(H_{\zeta_{\eta_0+1}[60]}(100)\)
ebdomintastaculated-territethracubor E100(#^^###)^^##70 \(f_{\zeta_{\eta_0+1}[70]}(100)\) \(H_{\zeta_{\eta_0+1}[70]}(100)\)
ogdontastaculated-territethracubor E100(#^^###)^^##80 \(f_{\zeta_{\eta_0+1}[80]}(100)\) \(H_{\zeta_{\eta_0+1}[80]}(100)\)
enenintastaculated-territethracubor E100(#^^###)^^##90 \(f_{\zeta_{\eta_0+1}[90]}(100)\) \(H_{\zeta_{\eta_0+1}[90]}(100)\)
hectastaculated-territethracubor, terrisquared-tethracubor E100(#^^###)^^##100 \(f_{\zeta_{\eta_0+1}}(100)\) \(H_{\zeta_{\eta_0+1}}(100)\)
terrible terrisquared-tethracubor E100((#^^###)^^##)^^#100 \(f_{\varepsilon_{\zeta_{\eta_0+1}+1}}(100)\) \(H_{\varepsilon_{\zeta_{\eta_0+1}+1}}(100)\)
territerated terrisquared-tethracubor E100((#^^###)^^##)^^#>#100 \(f_{\varepsilon_{\zeta_{\eta_0+1}+\omega}}(100)\) \(H_{\varepsilon_{\zeta_{\eta_0+1}+\omega}}(100)\)
double-terrisquared-tethracubor E100((#^^###)^^##)^^##100 \(f_{\zeta_{\eta_0+2}}(100)\) \(H_{\zeta_{\eta_0+2}}(100)\)
triple-terrisquared-tethracubor E100(((#^^###)^^##)^^##)^^##100 \(f_{\zeta_{\eta_0+3}}(100)\) \(H_{\zeta_{\eta_0+3}}(100)\)
quadruple-terrisquared-tethracubor E100(#^^###)^^##>#4 \(f_{\zeta_{\eta_0+4}}(100)\) \(H_{\zeta_{\eta_0+4}}(100)\)
quintuple-terrisquared-tethracubor E100(#^^###)^^##>#5 \(f_{\zeta_{\eta_0+5}}(100)\) \(H_{\zeta_{\eta_0+5}}(100)\)
sextuple-terrisquared-tethracubor E100(#^^###)^^##>#6 \(f_{\zeta_{\eta_0+6}}(100)\) \(H_{\zeta_{\eta_0+6}}(100)\)
septuple-terrisquared-tethracubor E100(#^^###)^^##>#7 \(f_{\zeta_{\eta_0+7}}(100)\) \(H_{\zeta_{\eta_0+7}}(100)\)
octuple-terrisquared-tethracubor E100(#^^###)^^##>#8 \(f_{\zeta_{\eta_0+8}}(100)\) \(H_{\zeta_{\eta_0+8}}(100)\)
nonuple-terrisquared-tethracubor E100(#^^###)^^##>#9 \(f_{\zeta_{\eta_0+9}}(100)\) \(H_{\zeta_{\eta_0+9}}(100)\)
decuple-terrisquared-tethracubor E100(#^^###)^^##>#10 \(f_{\zeta_{\eta_0+10}}(100)\) \(H_{\zeta_{\eta_0+10}}(100)\)
vigintuple-terrisquared-tethracubor E100(#^^###)^^##>#20 \(f_{\zeta_{\eta_0+20}}(100)\) \(H_{\zeta_{\eta_0+20}}(100)\)
trigintuple-terrisquared-tethracubor E100(#^^###)^^##>#30 \(f_{\zeta_{\eta_0+30}}(100)\) \(H_{\zeta_{\eta_0+30}}(100)\)
quadragintuple-terrisquared-tethracubor E100(#^^###)^^##>#40 \(f_{\zeta_{\eta_0+40}}(100)\) \(H_{\zeta_{\eta_0+40}}(100)\)
quinquagintuple-terrisquared-tethracubor E100(#^^###)^^##>#50 \(f_{\zeta_{\eta_0+50}}(100)\) \(H_{\zeta_{\eta_0+50}}(100)\)
sexagintuple-terrisquared-tethracubor E100(#^^###)^^##>#60 \(f_{\zeta_{\eta_0+60}}(100)\) \(H_{\zeta_{\eta_0+60}}(100)\)
septuagintuple-terrisquared-tethracubor E100(#^^###)^^##>#70 \(f_{\zeta_{\eta_0+70}}(100)\) \(H_{\zeta_{\eta_0+70}}(100)\)
octogintuple-terrisquared-tethracubor E100(#^^###)^^##>#80 \(f_{\zeta_{\eta_0+80}}(100)\) \(H_{\zeta_{\eta_0+80}}(100)\)
nonagintuple-terrisquared-tethracubor E100(#^^###)^^##>#90 \(f_{\zeta_{\eta_0+90}}(100)\) \(H_{\zeta_{\eta_0+90}}(100)\)
centuple-terrisquared-tethracubor, terrisquarediter-tethracubor E100(#^^###)^^##>#100 \(f_{\zeta_{\eta_0+\omega}}(100)\) \(H_{\zeta_{\eta_0+\omega}}(100)\)
dustaculated-terrisquared-tethracubor E100(#^^###)^^##>(#^^###)^^##100 \(f_{\zeta_{\zeta_{\eta_0+1}}}(100)\) \(H_{\zeta_{\zeta_{\eta_0+1}}}(100)\)
tristaculated-terrisquared-tethracubor E100(#^^###)^^###3 \(f_{\zeta_{\zeta_{\zeta_{\eta_0+1}}}}(100)\) \(H_{\zeta_{\zeta_{\zeta_{\eta_0+1}}}}(100)\)
tetrastaculated-terrisquared-tethracubor E100(#^^###)^^###4 \(f_{\eta_1[4]}(100)\) \(H_{\eta_1[4]}(100)\)
pentastaculated-terrisquared-tethracubor E100(#^^###)^^###5 \(f_{\eta_1[5]}(100)\) \(H_{\eta_1[5]}(100)\)
hexastaculated-terrisquared-tethracubor E100(#^^###)^^###6 \(f_{\eta_1[6]}(100)\) \(H_{\eta_1[6]}(100)\)
heptastaculated-terrisquared-tethracubor E100(#^^###)^^###7 \(f_{\eta_1[7]}(100)\) \(H_{\eta_1[7]}(100)\)
ogdastaculated-terrisquared-tethracubor E100(#^^###)^^###8 \(f_{\eta_1[8]}(100)\) \(H_{\eta_1[8]}(100)\)
ennastaculated-terrisquared-tethracubor E100(#^^###)^^###9 \(f_{\eta_1[9]}(100)\) \(H_{\eta_1[9]}(100)\)
dekastaculated-terrisquared-tethracubor E100(#^^###)^^###10 \(f_{\eta_1[10]}(100)\) \(H_{\eta_1[10]}(100)\)
icosastaculated-terrisquared-tethracubor E100(#^^###)^^###20 \(f_{\eta_1[20]}(100)\) \(H_{\eta_1[20]}(100)\)
triantastaculated-terrisquared-tethracubor E100(#^^###)^^###30 \(f_{\eta_1[30]}(100)\) \(H_{\eta_1[30]}(100)\)
sarantastaculated-terrisquared-tethracubor E100(#^^###)^^###40 \(f_{\eta_1[40]}(100)\) \(H_{\eta_1[40]}(100)\)
penintastaculated-terrisquared-tethracubor E100(#^^###)^^###50 \(f_{\eta_1[50]}(100)\) \(H_{\eta_1[50]}(100)\)
exintastaculated-terrisquared-tethracubor E100(#^^###)^^###60 \(f_{\eta_1[60]}(100)\) \(H_{\eta_1[60]}(100)\)
ebdomintastaculated-terrisquared-tethracubor E100(#^^###)^^###70 \(f_{\eta_1[70]}(100)\) \(H_{\eta_1[70]}(100)\)
ogdontastaculated-terrisquared-tethracubor E100(#^^###)^^###80 \(f_{\eta_1[80]}(100)\) \(H_{\eta_1[80]}(100)\)
enenintastaculated-terrisquared-tethracubor E100(#^^###)^^###90 \(f_{\eta_1[90]}(100)\) \(H_{\eta_1[90]}(100)\)
hectastaculated-terrisquared-tethracubor, tethraducubor E100(#^^###)^^###100 \(f_{\eta_1}(100)\) \(H_{\eta_1}(100)\)
terrible tethraducubor E100((#^^###)^^###)^^#100 \(f_{\varepsilon_{\eta_1+1}}(100)\) \(H_{\varepsilon_{\eta_1+1}}(100)\)
terrisquared-tethraducubor E100((#^^###)^^###)^^##100 \(f_{\zeta_{\eta_1+1}}(100)\) \(H_{\zeta_{\eta_1+1}}(100)\)
tethratricubor E100((#^^###)^^###)^^###100 \(f_{\eta_2}(100)\) \(H_{\eta_2}(100)\)
tethratetracubor E100(((#^^###)^^###)^^###)^^###100 \(f_{\eta_3}(100)\) \(H_{\eta_3}(100)\)
tethrapentacubor E100#^^###>#5 \(f_{\eta_4}(100)\) \(H_{\eta_4}(100)\)
tethrahexacubor E100#^^###>#6 \(f_{\eta_5}(100)\) \(H_{\eta_5}(100)\)
tethraheptacubor E100#^^###>#7 \(f_{\eta_6}(100)\) \(H_{\eta_6}(100)\)
tethra-octacubor E100#^^###>#8 \(f_{\eta_7}(100)\) \(H_{\eta_7}(100)\)
tethra-ennacubor E100#^^###>#9 \(f_{\eta_8}(100)\) \(H_{\eta_8}(100)\)
tethradekacubor E100#^^###>#10 \(f_{\eta_9}(100)\) \(H_{\eta_9}(100)\)
tethra-endekacubor E100#^^###>#11 \(f_{\eta_{10}}(100)\) \(H_{\eta_{10}}(100)\)
tethra-dodekacubor E100#^^###>#12 \(f_{\eta_{11}}(100)\) \(H_{\eta_{11}}(100)\)
tethra-triadekacubor E100#^^###>#13 \(f_{\eta_{12}}(100)\) \(H_{\eta_{12}}(100)\)
tethra-tetradekacubor E100#^^###>#14 \(f_{\eta_{13}}(100)\) \(H_{\eta_{13}}(100)\)
tethra-pentadekacubor E100#^^###>#15 \(f_{\eta_{14}}(100)\) \(H_{\eta_{14}}(100)\)
tethra-hexadekacubor E100#^^###>#16 \(f_{\eta_{15}}(100)\) \(H_{\eta_{15}}(100)\)
tethra-heptadekacubor E100#^^###>#17 \(f_{\eta_{16}}(100)\) \(H_{\eta_{16}}(100)\)
tethra-octadekacubor E100#^^###>#18 \(f_{\eta_{17}}(100)\) \(H_{\eta_{17}}(100)\)
tethra-ennadekacubor E100#^^###>#19 \(f_{\eta_{18}}(100)\) \(H_{\eta_{18}}(100)\)
tethra-icosacubor E100#^^###>#20 \(f_{\eta_{19}}(100)\) \(H_{\eta_{19}}(100)\)
tethra-triantacubor E100#^^###>#30 \(f_{\eta_{29}}(100)\) \(H_{\eta_{29}}(100)\)
tethra-sarantacubor E100#^^###>#40 \(f_{\eta_{39}}(100)\) \(H_{\eta_{39}}(100)\)
tethra-penintacubor E100#^^###>#50 \(f_{\eta_{49}}(100)\) \(H_{\eta_{49}}(100)\)
tethra-exintacubor E100#^^###>#60 \(f_{\eta_{59}}(100)\) \(H_{\eta_{59}}(100)\)
tethra-ebdomintacubor E100#^^###>#70 \(f_{\eta_{69}}(100)\) \(H_{\eta_{69}}(100)\)
tethra-ogdontacubor E100#^^###>#80 \(f_{\eta_{79}}(100)\) \(H_{\eta_{79}}(100)\)
tethra-enenintacubor E100#^^###>#90 \(f_{\eta_{89}}(100)\) \(H_{\eta_{89}}(100)\)
tethrahectacubor, tethritercubor, tethracubiter E100#^^###>#100 \(f_{\eta_\omega}(100)\) \(H_{\eta_\omega}(100)\)
tethriditercubor, tethracuborditerator E100#^^###>(#+#)100 \(f_{\eta_{\omega\times2}}(100)\) \(H_{\eta_{\omega\times2}}(100)\)
tethritritercubor, tethracubortriterator E100#^^###>(#+#+#)100 \(f_{\eta_{\omega\times3}}(100)\) \(H_{\eta_{\omega\times3}}(100)\)
tethriquaditercubor, tethracuborquaditerator E100#^^###>(#+#+#+#)100 \(f_{\eta_{\omega\times4}}(100)\) \(H_{\eta_{\omega\times4}}(100)\)
tethriquiditercubor, tethracuborquiditerator E100#^^###>##5 \(f_{\eta_{\omega\times5}}(100)\) \(H_{\eta_{\omega\times5}}(100)\)
tethrisiditercubor, tethracuborsiditerator E100#^^###>##6 \(f_{\eta_{\omega\times6}}(100)\) \(H_{\eta_{\omega\times6}}(100)\)
tethrisepitercubor, tethracuborseptiditerator E100#^^###>##7 \(f_{\eta_{\omega\times7}}(100)\) \(H_{\eta_{\omega\times7}}(100)\)
tethri-ogditercubor, tethracuboroctiditerator E100#^^###>##8 \(f_{\eta_{\omega\times8}}(100)\) \(H_{\eta_{\omega\times8}}(100)\)
tethrinonitercubor, tethracubornoniditerator E100#^^###>##9 \(f_{\eta_{\omega\times9}}(100)\) \(H_{\eta_{\omega\times9}}(100)\)
tethridecitercubor, tethracubordeciditerator E100#^^###>##10 \(f_{\eta_{\omega\times10}}(100)\) \(H_{\eta_{\omega\times10}}(100)\)
tethrivigintitercubor, tethracuborvigintiditerator E100#^^###>##20 \(f_{\eta_{\omega\times20}}(100)\) \(H_{\eta_{\omega\times20}}(100)\)
tethritrigintitercubor E100#^^###>##30 \(f_{\eta_{\omega\times30}}(100)\) \(H_{\eta_{\omega\times30}}(100)\)
tethriquadragintitercubor E100#^^###>##40 \(f_{\eta_{\omega\times40}}(100)\) \(H_{\eta_{\omega\times40}}(100)\)
tethriquinquagintitercubor E100#^^###>##50 \(f_{\eta_{\omega\times50}}(100)\) \(H_{\eta_{\omega\times50}}(100)\)
tethrisexagintitercubor E100#^^###>##60 \(f_{\eta_{\omega\times60}}(100)\) \(H_{\eta_{\omega\times60}}(100)\)
tethriseptuagintitercubor E100#^^###>##70 \(f_{\eta_{\omega\times70}}(100)\) \(H_{\eta_{\omega\times70}}(100)\)
tethri-octogintitercubor E100#^^###>##80 \(f_{\eta_{\omega\times80}}(100)\) \(H_{\eta_{\omega\times80}}(100)\)
tethrinonagintitercubor E100#^^###>##90 \(f_{\eta_{\omega\times90}}(100)\) \(H_{\eta_{\omega\times90}}(100)\)
tethricentitercubor, tethracuborcentiditerator, tethrigriditercubor, tethracubogridulator E100#^^###>##100 \(f_{\eta_{\omega^2}}(100)\) \(H_{\eta_{\omega^2}}(100)\)
tethricubiculcubor, tethracubocubiculator E100#^^###>###100 \(f_{\eta_{\omega^3}}(100)\) \(H_{\eta_{\omega^3}}(100)\)
tethriquarticulcubor, tethracuboquarticulator E100#^^###>####100 \(f_{\eta_{\omega^4}}(100)\) \(H_{\eta_{\omega^4}}(100)\)
tethriquinticulcubor, tethracuboquinticulator E100#^^###>#^#5 \(f_{\eta_{\omega^5}}(100)\) \(H_{\eta_{\omega^5}}(100)\)
tethrisexticulcubor, tethracubosexticulator E100#^^###>#^#6 \(f_{\eta_{\omega^6}}(100)\) \(H_{\eta_{\omega^6}}(100)\)
tethrisepticulcubor, tethracubosepticulator E100#^^###>#^#7 \(f_{\eta_{\omega^7}}(100)\) \(H_{\eta_{\omega^7}}(100)\)
tethri-octiculcubor, tethracubo-octiculator E100#^^###>#^#8 \(f_{\eta_{\omega^8}}(100)\) \(H_{\eta_{\omega^8}}(100)\)
tethrinoniculcubor, tethracubononiculator E100#^^###>#^#9 \(f_{\eta_{\omega^9}}(100)\) \(H_{\eta_{\omega^9}}(100)\)
tethrideciculcubor, tethracubodeciculator E100#^^###>#^#10 \(f_{\eta_{\omega^{10}}}(100)\) \(H_{\eta_{\omega^{10}}}(100)\)
tethriviginticulcubor, tethracuboviginticulator E100#^^###>#^#20 \(f_{\eta_{\omega^{20}}}(100)\) \(H_{\eta_{\omega^{20}}}(100)\)
tethritriginticulcubor E100#^^###>#^#30 \(f_{\eta_{\omega^{30}}}(100)\) \(H_{\eta_{\omega^{30}}}(100)\)
tethriquadraginticulcubor E100#^^###>#^#40 \(f_{\eta_{\omega^{40}}}(100)\) \(H_{\eta_{\omega^{40}}}(100)\)
tethriquinquaginticulcubor E100#^^###>#^#50 \(f_{\eta_{\omega^{50}}}(100)\) \(H_{\eta_{\omega^{50}}}(100)\)
tethrisexaginticulcubor E100#^^###>#^#60 \(f_{\eta_{\omega^{60}}}(100)\) \(H_{\eta_{\omega^{60}}}(100)\)
tethriseptuaginticulcubor E100#^^###>#^#70 \(f_{\eta_{\omega^{70}}}(100)\) \(H_{\eta_{\omega^{70}}}(100)\)
tethri-octoginticulcubor E100#^^###>#^#80 \(f_{\eta_{\omega^{80}}}(100)\) \(H_{\eta_{\omega^{80}}}(100)\)
tethri-nonaginticulcubor E100#^^###>#^#90 \(f_{\eta_{\omega^{90}}}(100)\) \(H_{\eta_{\omega^{90}}}(100)\)
gridgahlah-turrated-tethracubor E100#^^###>#^##100 \(f_{\eta_{\omega^{\omega^2}}}(100)\) \(H_{\eta_{\omega^{\omega^2}}}(100)\)
godgathor-turrated-tethracubor E100#^^###>#^#^#100 \(f_{\eta_{\omega^{\omega^\omega}}}(100)\) \(H_{\eta_{\omega^{\omega^\omega}}}(100)\)
godtothol-turrated-tethracubor E100#^^###>#^#^#^#100 \(f_{\eta_{\omega^{\omega^{\omega^\omega}}}}(100)\) \(H_{\eta_{\omega^{\omega^{\omega^\omega}}}}(100)\)
tethrathoth-turrated-tethracubor E100#^^###>#^^#100 \(f_{\eta_{\varepsilon_0}}(100)\) \(H_{\eta_{\varepsilon_0}}(100)\)
Monster-Giant-turrated-tethracubor E100#^^###>(#^^#)^(#^^#)^#100 \(f_{\eta_{{\varepsilon_0}^{\varepsilon_0^\omega}}}(100)\) \(H_{\eta_{{\varepsilon_0}^{\varepsilon_0^\omega}}}(100)\)
territethrathoth-turrated-tethracubor E100#^^###>(#^^#)^^#100 \(f_{\eta_{\varepsilon_1}}(100)\) \(H_{\eta_{\varepsilon_1}}(100)\)
Behemoth-Giant-turrated-tethracubor E100#^^###>(#^^#>2)^(#^^#>2)^#100 \(f_{\eta_{{\varepsilon_1}^{\varepsilon_1^\omega}}}(100)\) \(H_{\eta_{{\varepsilon_1}^{\varepsilon_1^\omega}}}(100)\)
territerritethrathoth-turrated-tethracubor E100#^^###>((#^^#)^#)^^#100 \(f_{\eta_{\varepsilon_2}}(100)\) \(H_{\eta_{\varepsilon_2}}(100)\)
Trihemoth-Giant-turrated-tethracubor E100#^^###>(#^^#>3)^(#^^#>3)^#100 \(f_{\eta_{{\varepsilon_2}^{\varepsilon_2^\omega}}}(100)\) \(H_{\eta_{{\varepsilon_2}^{\varepsilon_2^\omega}}}(100)\)
tethriterator-turrated-tethracubor E100#^^###>#^^#>#100 \(f_{\eta_{\varepsilon_\omega}}(100)\) \(H_{\eta_{\varepsilon_\omega}}(100)\)
dustacultethrathoth-turrated-tethracubor E100#^^###>#^^#>#^^#100 \(f_{\eta_{\varepsilon_{\varepsilon_0}}}(100)\) \(H_{\eta_{\varepsilon_{\varepsilon_0}}}(100)\)
tethracross-turrated-tethracubor E100#^^###>#^^##100 \(f_{\eta_{\zeta_0}}(100)\) \(H_{\eta_{\zeta_0}}(100)\)
tethritercross-turrated-tethracubor E100#^^###>#^^##>#100 \(f_{\eta_{\zeta_\omega}}(100)\) \(H_{\eta_{\zeta_\omega}}(100)\)
godgahlah-turrated-tethracross-turrated-tethracubor E100#^^###>#^^##>#^#100 \(f_{\eta_{\zeta_{\omega^\omega}}}(100)\) \(H_{\eta_{\zeta_{\omega^\omega}}}(100)\)
tethrathoth-turrated-tethracross-turrated-tethracubor E100#^^###>#^^##>#^^#100 \(f_{\eta_{\zeta_{\varepsilon_0}}}(100)\) \(H_{\eta_{\zeta_{\varepsilon_0}}}(100)\)
dustacultethracross-turrated-tethracubor E100#^^###>#^^##>#^^##100 \(f_{\eta_{\zeta_{\zeta_0}}}(100)\) \(H_{\eta_{\zeta_{\zeta_0}}}(100)\)
dustaculated-tethracubor E100#^^###>#^^###100 \(f_{\eta_{\eta_0}}(100)\) \(H_{\eta_{\eta_0}}(100)\)
tristaculated-tethracubor E100#^^###>#^^###>#^^###100 \(f_{\eta_{\eta_{\eta_0}}}(100)\) \(H_{\eta_{\eta_{\eta_0}}}(100)\)
tetrastaculated-tethracubor E100#^^###>#^^###>#^^###>#^^###100 \(f_{\varphi(4,0)[4]}(100)\) \(H_{\varphi(4,0)[4]}(100)\)
pentastaculated-tethracubor E100#^^####5 \(f_{\varphi(4,0)[5]}(100)\) \(H_{\varphi(4,0)[5]}(100)\)
hexastaculated-tethracubor E100#^^####6 \(f_{\varphi(4,0)[6]}(100)\) \(H_{\varphi(4,0)[6]}(100)\)
heptastaculated-tethracubor E100#^^####7 \(f_{\varphi(4,0)[7]}(100)\) \(H_{\varphi(4,0)[7]}(100)\)
ogdastaculated-tethracubor E100#^^####8 \(f_{\varphi(4,0)[8]}(100)\) \(H_{\varphi(4,0)[8]}(100)\)
ennastaculated-tethracubor E100#^^####9 \(f_{\varphi(4,0)[9]}(100)\) \(H_{\varphi(4,0)[9]}(100)\)
dekastaculated-tethracubor E100#^^####10 \(f_{\varphi(4,0)[10]}(100)\) \(H_{\varphi(4,0)[10]}(100)\)
icosastaculated-tethracubor E100#^^####20 \(f_{\varphi(4,0)[20]}(100)\) \(H_{\varphi(4,0)[20]}(100)\)
triantastaculated-tethracubor E100#^^####30 \(f_{\varphi(4,0)[30]}(100)\) \(H_{\varphi(4,0)[30]}(100)\)
sarantastaculated-tethracubor E100#^^####40 \(f_{\varphi(4,0)[40]}(100)\) \(H_{\varphi(4,0)[40]}(100)\)
penintastaculated-tethracubor E100#^^####50 \(f_{\varphi(4,0)[50]}(100)\) \(H_{\varphi(4,0)[50]}(100)\)
exintastaculated-tethracubor E100#^^####60 \(f_{\varphi(4,0)[60]}(100)\) \(H_{\varphi(4,0)[60]}(100)\)
ebdomintastaculated-tethracubor E100#^^####70 \(f_{\varphi(4,0)[70]}(100)\) \(H_{\varphi(4,0)[70]}(100)\)
ogdontastaculated-tethracubor E100#^^####80 \(f_{\varphi(4,0)[80]}(100)\) \(H_{\varphi(4,0)[80]}(100)\)
enenintastaculated-tethracubor E100#^^####90 \(f_{\varphi(4,0)[90]}(100)\) \(H_{\varphi(4,0)[90]}(100)\)

Sources

  1. Sbiis Saibian, Extended Cascading-E Numbers Part I - Large 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

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