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

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Tethracubor regiment Tethrapeton regiment

List of numbers of the regiment

Name of number Extended Cascading-E Notation (definition) Fast-growing hierarchy (approximation)
tethrateron E100#^^####100 \(f_{\varphi(4,0)}(100)\)
grand tethrateron E100#^^####100#2 \(f_{\varphi(4,0)}^2(100)\)
grangol-carta-tethrateron E100#^^####100#100 \(f_{\varphi(4,0)+1}(100)\)
grand grangol-carta-tethrateron E100#^^####100#100#2 \(f_{\varphi(4,0)+1}^2(100)\)
godgahlah-carta-tethrateron E100#^^####100#^#100 \(f_{\varphi(4,0)+\omega^\omega}(100)\)
godgathor-carta-tethrateron E100#^^####100#^#^#100 \(f_{\varphi(4,0)+\omega^{\omega^\omega}}(100)\)
godtothol-carta-tethrateron E100#^^####100#^#^#^#100 \(f_{\varphi(4,0)+\omega^{\omega^{\omega^\omega}}}(100)\)
tethrathoth-carta-tethrateron E100#^^####100#^^#100 \(f_{\varphi(4,0)+\varepsilon_0}(100)\)
Monster-Giant-carta-tethrateron E100#^^####100(#^^#)^(#^^#)^#100 \(f_{\varphi(4,0)+\varepsilon_0^{\varepsilon_0^{\omega}}}(100)\)
terrible-tethrathoth-carta-tethrateron E100#^^####100(#^^#)^^#100 \(f_{\varphi(4,0)+\varepsilon_1}(100)\)
Behemoth-Giant-carta-tethrateron E100#^^####100(#^^#>2)^(#^^#>2)^#100 \(f_{\varphi(4,0)+\varepsilon_1^{\varepsilon_1^{\omega}}}(100)\)
terrible-terrible-tethrathoth-carta-tethrateron E100#^^####100(#^^#>3)100 \(f_{\varphi(4,0)+\varepsilon_2}(100)\)
Trihemoth-Giant-carta-tethrateron E100#^^####100(#^^#>3)^(#^^#>3)^#100 \(f_{\varphi(4,0)+\varepsilon_2^{\varepsilon_2^{\omega}}}(100)\)
tethriterator-carta-tethrateron E100#^^####100#^^#>#100 \(f_{\varphi(4,0)+\varepsilon_\omega}(100)\)
dustaculated-tethrathoth-carta-tethrateron E100#^^####100#^^#>#^^#100 \(f_{\varphi(4,0)+\varepsilon_{\varepsilon_0}}(100)\)
tethracross-carta-tethrateron E100#^^####100#^^##100 \(f_{\varphi(4,0)+\zeta_0}(100)\)
tethracubor-carta-tethrateron E100#^^####100#^^###100 \(f_{\varphi(4,0)+\eta_0}(100)\)
tethrateron-by-deuteron E100#^^####100#^^####100 \(f_{\varphi(4,0)2}(100)\)
tethrateron-by-triton E100#^^####100#^^####100#^^####100 \(f_{\varphi(4,0)3}(100)\)
tethrateron-by-teterton E100#^^####*#5 \(f_{\varphi(4,0)4}(100)\)
tethrateron-by-pepton E100#^^####*#6 \(f_{\varphi(4,0)5}(100)\)
tethrateron-by-exton E100#^^####*#7 \(f_{\varphi(4,0)6}(100)\)
tethrateron-by-epton E100#^^####*#8 \(f_{\varphi(4,0)7}(100)\)
tethrateron-by-ogdon E100#^^####*#9 \(f_{\varphi(4,0)8}(100)\)
tethrateron-by-enton E100#^^####*#10 \(f_{\varphi(4,0)9}(100)\)
tethrateron-by-dekaton E100#^^####*#11 \(f_{\varphi(4,0)10}(100)\)
tethrateron-by-hyperion E100#^^####*#100 \(f_{\varphi(4,0)\omega}(100)\)
tethrateron-by-godgahlah E100#^^####*#^#100 \(f_{\varphi(4,0)\omega^\omega}(100)\)
tethrateron-by-godgathor E100#^^####*#^#^#100 \(f_{\varphi(4,0)\omega^{\omega^\omega}}(100)\)
tethrateron-by-godtothol E100#^^####*#^#^#^#100 \(f_{\varphi(4,0)\omega^{\omega^{\omega^\omega}}}(100)\)
tethrateron-by-tethrathoth E100#^^####*#^^#100 \(f_{\varphi(4,0)\varepsilon_0}(100)\)
tethrateron-by-Monster-Giant E100#^^####*(#^^#)^(#^^#)^#100 \(f_{\varphi(4,0)\varepsilon_0^{\varepsilon_0^{\omega}}}(100)\)
tethrateron-by-terrible-tethrathoth E100#^^####*(#^^#)^^#100 \(f_{\varphi(4,0)\varepsilon_1}(100)\)
tethrateron-by-Behemoth-Giant E100#^^####*(#^^#>2)^(#^^#>2)^#100 \(f_{\varphi(4,0)\varepsilon_1^{\varepsilon_1^{\omega}}}(100)\)
tethrateron-by-terrible-terrible-tethrathoth E100#^^####*(#^^#>3)100 \(f_{\varphi(4,0)\varepsilon_2}(100)\)
tethrateron-by-Trihemoth-Giant E100#^^####*(#^^#>3)^(#^^#>3)^#100 \(f_{\varphi(4,0)\varepsilon_2^{\varepsilon_2^{\omega}}}(100)\)
tethrateron-by-tethriterator E100#^^####*#^^#>#100 \(f_{\varphi(4,0)\varepsilon_\omega}(100)\)
tethrateron-by-dustaculated-tethrathoth E100#^^####*#^^#>#^^#100 \(f_{\varphi(4,0)\varepsilon_{\varepsilon_0}}(100)\)
tethrateron-by-tethracross E100#^^####*#^^##100 \(f_{\varphi(4,0)\zeta_0}(100)\)
tethrateron-by-tethracubor E100#^^####*#^^###100 \(f_{\varphi(4,0)\eta_0}(100)\)
deutero-tethrateron E100#^^####*#^^####100 \(f_{\varphi(4,0)^2}(100)\)
trito-tethrateron E100#^^####*#^^####*#^^####100 \(f_{\varphi(4,0)^3}(100)\)
teterto-tethrateron E100(#^^####)^#4 \(f_{\varphi(4,0)^4}(100)\)
pepto-tethrateron E100(#^^####)^#5 \(f_{\varphi(4,0)^5}(100)\)
exto-tethrateron E100(#^^####)^#6 \(f_{\varphi(4,0)^6}(100)\)
epto-tethrateron E100(#^^####)^#7 \(f_{\varphi(4,0)^7}(100)\)
ogdo-tethrateron E100(#^^####)^#8 \(f_{\varphi(4,0)^8}(100)\)
ento-tethrateron E100(#^^####)^#9 \(f_{\varphi(4,0)^9}(100)\)
dekato-tethrateron E100(#^^####)^#10 \(f_{\varphi(4,0)^{10}}(100)\)
isosto-tethrateron E100(#^^####)^#20 \(f_{\varphi(4,0)^{20}}(100)\)
trianto-tethrateron E100(#^^####)^#30 \(f_{\varphi(4,0)^{30}}(100)\)
saranto-tethrateron E100(#^^####)^#40 \(f_{\varphi(4,0)^{40}}(100)\)
peninto-tethrateron E100(#^^####)^#50 \(f_{\varphi(4,0)^{50}}(100)\)
exinto-tethrateron E100(#^^####)^#60 \(f_{\varphi(4,0)^{60}}(100)\)
ebdominto-tethrateron E100(#^^####)^#70 \(f_{\varphi(4,0)^{70}}(100)\)
ogdonto-tethrateron E100(#^^####)^#80 \(f_{\varphi(4,0)^{80}}(100)\)
eneninto-tethrateron E100(#^^####)^#90 \(f_{\varphi(4,0)^{90}}(100)\)
tethrateronifact E100(#^^####)^#100 \(f_{\varphi(4,0)^\omega}(100)\)
grideutertethrateron E100(#^^####)^##100 \(f_{\varphi(4,0)^{\omega^2}}(100)\)
kubicutethrateron E100(#^^####)^###100 \(f_{\varphi(4,0)^{\omega^3}}(100)\)
quarticutethrateron E100(#^^####)^####100 \(f_{\varphi(4,0)^{\omega^4}}(100)\)
quinticutethrateron E100(#^^####)^#^#5 \(f_{\varphi(4,0)^{\omega^5}}(100)\)
sexticutethrateron E100(#^^####)^#^#6 \(f_{\varphi(4,0)^{\omega^6}}(100)\)
septicutethrateron E100(#^^####)^#^#7 \(f_{\varphi(4,0)^{\omega^7}}(100)\)
octicutethrateron E100(#^^####)^#^#8 \(f_{\varphi(4,0)^{\omega^8}}(100)\)
nonicutethrateron E100(#^^####)^#^#9 \(f_{\varphi(4,0)^{\omega^9}}(100)\)
decicutethrateron E100(#^^####)^#^#10 \(f_{\varphi(4,0)^{\omega^10}}(100)\)
tethrateron-ad-godgahlah E100(#^^####)^#^#100 \(f_{\varphi(4,0)^{\omega^\omega}}(100)\)
tethrateron-ad-godgathor E100(#^^####)^#^#^#100 \(f_{\varphi(4,0)^{\omega^{\omega^\omega}}}(100)\)
tethrateron-ad-godtothol E100(#^^####)^#^#^#^#100 \(f_{\varphi(4,0)^{\omega^{\omega^{\omega^\omega}}}}(100)\)
tethrateron-ad-tethrathoth E100(#^^####)^#^^#100 \(f_{\varphi(4,0)^{\varepsilon_0}}(100)\)
tethrateron-ad-Monster-Giant E100(#^^####)^(#^^#)^(#^^#)^#100 \(f_{\varphi(4,0)^{\varepsilon_0^{\varepsilon_0^{\omega}}}}(100)\)
tethrateron-ad-terrible-tethrathoth E100(#^^####)^(#^^#)^^#100 \(f_{\varphi(4,0)^{\varepsilon_1}}(100)\)
tethrateron-ad-Behemoth-Giant E100(#^^####)^(#^^#>2)^(#^^#>2)^#100 \(f_{\varphi(4,0)^{\varepsilon_1^{\varepsilon_1^{\omega}}}}(100)\)
tethrateron-ad-terrible-terrible-tethrathoth E100(#^^####)^(#^^#>3)100 \(f_{\varphi(4,0)^{\varepsilon_2}}(100)\)
tethrateron-ad-Trihemoth-Giant E100(#^^####)^(#^^#>3)^(#^^#>3)^#100 \(f_{\varphi(4,0)^{\varepsilon_2^{\varepsilon_2^{\omega}}}}(100)\)
tethrateron-ad-tethriterator E100(#^^####)^#^^#>#100 \(f_{\varphi(4,0)^{\varepsilon_\omega}}(100)\)
tethrateron-ad-dustaculated-tethrathoth E100(#^^####)^#^^#>#^^#100 \(f_{\varphi(4,0)^{\varepsilon_{\varepsilon_0}}}(100)\)
tethrateron-ad-tethracross E100(#^^####)^#^^##100 \(f_{\varphi(4,0)^{\zeta_0}}(100)\)
tethrateron-ad-tethracubor E100(#^^####)^#^^###100 \(f_{\varphi(4,0)^{\eta_0}}(100)\)
dutetrated-tethrateron E100(#^^####)^(#^^####)100 \(f_{\varphi(4,0)\uparrow\uparrow 2}(100)\)
tritetrated-tethrateron E100(#^^####)^(#^^####)^(#^^####)100 \(f_{\varphi(4,0)\uparrow\uparrow 3}(100)\)
quadratetrated-tethrateron E100(#^^####)^^#4 \(f_{\varphi(4,0)\uparrow\uparrow 4}(100)\)
quinquatetrated-tethrateron E100(#^^####)^^#5 \(f_{\varphi(4,0)\uparrow\uparrow 5}(100)\)
sexatetrated-tethrateron E100(#^^####)^^#6 \(f_{\varphi(4,0)\uparrow\uparrow 6}(100)\)
septatetrated-tethrateron E100(#^^####)^^#7 \(f_{\varphi(4,0)\uparrow\uparrow 7}(100)\)
octatetrated-tethrateron E100(#^^####)^^#8 \(f_{\varphi(4,0)\uparrow\uparrow 8}(100)\)
nonatetrated-tethrateron E100(#^^####)^^#9 \(f_{\varphi(4,0)\uparrow\uparrow 9}(100)\)
decatetrated-tethrateron E100(#^^####)^^#10 \(f_{\varphi(4,0)\uparrow\uparrow 10}(100)\)
terrible tethrateron E100(#^^####)^^#100 \(f_{\varepsilon_{\varphi(4,0)+1}}(100)\)
terrible terrible tethrateron E100((#^^####)^^#)^^#100 \(f_{\varepsilon_{\varphi(4,0)+2}}(100)\)
three-ex-terrible tethrateron E100(#^^####)^^#>#3 \(f_{\varepsilon_{\varphi(4,0)+3}}(100)\)
four-ex-terrible tethrateron E100(#^^####)^^#>#4 \(f_{\varepsilon_{\varphi(4,0)+4}}(100)\)
five-ex-terrible tethrateron E100(#^^####)^^#>#5 \(f_{\varepsilon_{\varphi(4,0)+5}}(100)\)
six-ex-terrible tethrathoth E100(#^^####)^^#>#6 \(f_{\varepsilon_{\varphi(4,0)+6}}(100)\)
seven-ex-terrible tethrathoth E100(#^^####)^^#>#7 \(f_{\varepsilon_{\varphi(4,0)+7}}(100)\)
eight-ex-terrible tethrathoth E100(#^^####)^^#>#8 \(f_{\varepsilon_{\varphi(4,0)+8}}(100)\)
nine-ex-terrible tethrathoth E100(#^^####)^^#>#9 \(f_{\varepsilon_{\varphi(4,0)+9}}(100)\)
ten-ex-terrible tethrathoth E100(#^^####)^^#>#10 \(f_{\varepsilon_{\varphi(4,0)+10}}(100)\)
territerated-tethrateron E100(#^^####)^^#>#100 \(f_{\varepsilon_{\varphi(4,0)+\omega}}(100)\)
terriditerated-tethrateron E100(#^^####)^^#>(#+#)100 \(f_{\varepsilon_{\varphi(4,0)+\omega2}}(100)\)
territriterated-tethrateron E100(#^^####)^^#>(#+#+#)100 \(f_{\varepsilon_{\varphi(4,0)+\omega3}}(100)\)
terrigriditerated-tethrateron E100(#^^####)^^#>##100 \(f_{\varepsilon_{\varphi(4,0)+\omega^2}}(100)\)
terricubiculated-tethrateron E100(#^^####)^^#>###100 \(f_{\varepsilon_{\varphi(4,0)+\omega^3}}(100)\)
terriquarticulated-tethrateron E100(#^^####)^^#>####100 \(f_{\varepsilon_{\varphi(4,0)+\omega^4}}(100)\)
godgahlah-turreted-territethrateron E100(#^^####)^^#>#^#100 \(f_{\varepsilon_{\varphi(4,0)+\omega^\omega}}(100)\)
godgathor-turreted-territethrateron E100(#^^####)^^#>#^#^#100 \(f_{\varepsilon_{\varphi(4,0)+\omega^{\omega^\omega}}}(100)\)
godtothol-turreted-territethrateron E100(#^^####)^^#>#^#^#^#100 \(f_{\varepsilon_{\varphi(4,0)+\omega^{\omega^{\omega^\omega}}}}(100)\)
tethrathoth-turreted-territethrateron E100(#^^####)^^#>#^^#100 \(f_{\varepsilon_{\varphi(4,0)+\varepsilon_0}}(100)\)
Monster-Giant-turreted-territethrateron E100(#^^####)^^#>(#^^#)^(#^^#)^#100 \(f_{\varepsilon_{\varphi(4,0)+\varepsilon_0^{\varepsilon_0^{\omega}}}}(100)\)
territethrathoth-turreted-territethrateron E100(#^^####)^^#>(#^^#)^^#100 \(f_{\varepsilon_{\varphi(4,0)+\varepsilon_1}}(100)\)
Behemoth-Giant-turreted-territethrateron E100(#^^####)^^#>(#^^#>2)^(#^^#>2)^#100 \(f_{\varepsilon_{\varphi(4,0)+\varepsilon_1^{\varepsilon_1^{\omega}}}}(100)\)
territerritethrathoth-turreted-territethrateron E100(#^^####)^^#>(#^^#>3)100 \(f_{\varepsilon_{\varphi(4,0)+\varepsilon_2}}(100)\)
Trihemoth-Giant-turreted-territethrateron E100(#^^####)^^#>(#^^#>3)^(#^^#>3)^#100 \(f_{\varepsilon_{\varphi(4,0)+\varepsilon_2^{\varepsilon_2^{\omega}}}}(100)\)
tethriterator-turreted-territethrateron E100(#^^####)^^#>#^^#>#100 \(f_{\varepsilon_{\varphi(4,0)+\varepsilon_\omega}}(100)\)
dustacultethrathoth-turreted-territethrateron E100(#^^####)^^#>#^^#>#^^#100 \(f_{\varepsilon_{\varphi(4,0)+\varepsilon_{\varepsilon_0}}}(100)\)
tethracross-turreted-territethrateron E100(#^^####)^^#>#^^##100 \(f_{\varepsilon_{\varphi(4,0)+\zeta_0}}(100)\)
tethracubor-turreted-territethrateron E100(#^^####)^^#>#^^###100 \(f_{\varepsilon_{\varphi(4,0)+\eta_0}}(100)\)
tethrateron-turreted-territethrateron E100(#^^####)^^#>#^^####100 \(f_{\varepsilon_{\varphi(4,0)2}}(100)\)
dustaculated-territethrateron E100(#^^####)^^#>(#^^####)^^#100 \(f_{\varepsilon_{\varepsilon_{\varphi(4,0)+1}}}(100)\)
tristaculated-territethrateron E100(#^^####)^^##3 \(f_{\zeta_{\varphi(4,0)+1}[3]}(100)\)
tetrastaculated-territethrateron E100(#^^####)^^##4 \(f_{\zeta_{\varphi(4,0)+1}[4]}(100)\)
pentastaculated-territethrateron E100(#^^####)^^##5 \(f_{\zeta_{\varphi(4,0)+1}[5]}(100)\)
hexastaculated-territethrateron E100(#^^####)^^##6 \(f_{\zeta_{\varphi(4,0)+1}[6]}(100)\)
heptastaculated-territethrateron E100(#^^####)^^##7 \(f_{\zeta_{\varphi(4,0)+1}[7]}(100)\)
octastaculated-territethrateron E100(#^^####)^^##8 \(f_{\zeta_{\varphi(4,0)+1}[8]}(100)\)
ennastaculated-territethrateron E100(#^^####)^^##9 \(f_{\zeta_{\varphi(4,0)+1}[9]}(100)\)
dekastaculated-territethrateron E100(#^^####)^^##10 \(f_{\zeta_{\varphi(4,0)+1}[10]}(100)\)
terrisquared-tethrateron E100(#^^####)^^##100 \(f_{\zeta_{\varphi(4,0)+1}}(100)\)
terrible terrisquared-tethrateron E100((#^^####)^^##)^^#100 \(f_{\varepsilon_{\zeta_{\varphi(4,0)+1}+1}}(100)\)
double terrisquared-tethrateron E100((#^^####)^^##)^^##100 \(f_{\zeta_{\varphi(4,0)+2}}(100)\)
terrible double terrisquared-tethrateron E100(((#^^####)^^##)^^##)^^#100 \(f_{\varepsilon_{\zeta_{\varphi(4,0)+2}+1}}(100)\)
dustaculated-terrible-double-terrisquared-tethrateron E100(((#^^####)^^##)^^##)^^##2 \(f_{\varepsilon_{\varepsilon_{\zeta_{\varphi(4,0)+2}+1}}}(100)\)
triple terrisquared-tethrateron E100(((#^^####)^^##)^^##)^^##100

= E100(#^^####)^^##>#3

\(f_{\zeta_{\varphi(4,0)+3}}(100)\)
quadruple terrisquared-tethrateron E100(#^^####)^^##>#4 \(f_{\zeta_{\varphi(4,0)+4}}(100)\)
quintuple terrisquared-tethrateron E100(#^^####)^^##>#5 \(f_{\zeta_{\varphi(4,0)+5}}(100)\)
sextuple terrisquared-tethrateron E100(#^^####)^^##>#6 \(f_{\zeta_{\varphi(4,0)+6}}(100)\)
septuple terrisquared-tethrateron E100(#^^####)^^##>#7 \(f_{\zeta_{\varphi(4,0)+7}}(100)\)
octuple terrisquared-tethrateron E100(#^^####)^^##>#8 \(f_{\zeta_{\varphi(4,0)+8}}(100)\)
nonuple terrisquared-tethrateron E100(#^^####)^^##>#9 \(f_{\zeta_{\varphi(4,0)+9}}(100)\)
decuple terrisquared-tethrateron E100(#^^####)^^##>#10 \(f_{\zeta_{\varphi(4,0)+10}}(100)\)
centuple terrisquared-tethrateron E100(#^^####)^^##>#100 \(f_{\zeta_{\varphi(4,0)+\omega}}(100)\)
godgahlah-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^#100 \(f_{\zeta_{\varphi(4,0)+\omega^\omega}}(100)\)
godgathor-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^#^#100 \(f_{\zeta_{\varphi(4,0)+\omega^{\omega^\omega}}}(100)\)
godtothol-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^#^#^#100 \(f_{\zeta_{\varphi(4,0)+\omega^{\omega^{\omega^\omega}}}}(100)\)
tethrathoth-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^^#100 \(f_{\zeta_{\varphi(4,0)+\varepsilon_0}}(100)\)
Monster-Giant-turreted-terrisquared-tethrateron E100(#^^####)^^##>(#^^#)^(#^^#)^#100 \(f_{\zeta_{\varphi(4,0)+\varepsilon_0^{\varepsilon_0^{\omega}}}}(100)\)
territethrathoth-turreted-terrisquared-tethrateron E100(#^^####)^^##>(#^^#)^^#100 \(f_{\zeta_{\varphi(4,0)+\varepsilon_1}}(100)\)
tethriterator-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^^#>#100 \(f_{\zeta_{\varphi(4,0)+\varepsilon_\omega}}(100)\)
dustacultethrathoth-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^^#>#^^#100 \(f_{\zeta_{\varphi(4,0)+\varepsilon_{\varepsilon_0}}}(100)\)
tethracross-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^^##100 \(f_{\zeta_{\varphi(4,0)+\zeta_0}}(100)\)
tethracubor-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^^###100 \(f_{\zeta_{\varphi(4,0)+\eta_0}}(100)\)
tethrathoth-turreted-tethracross-turreted-

tethracubor-turreted-terrisquared-tethrateron

E100(#^^####)^^##>#^^###>#^^##>#^^#100 \(f_{\zeta_{\varphi(4,0)+\eta_{\zeta_{\varepsilon_0}}}}(100)\)
tethrateron-turreted-terrisquared-tethrateron E100(#^^####)^^##>#^^####100 \(f_{\zeta_{\varphi(4,0)2}}(100)\)
dustaculated-terrisquared-tethrateron E100(#^^####)^^##>(#^^####)^^##100 \(f_{\zeta_{\zeta_{\varphi(4,0)+1}}}(100)\)
tristaculated-terrisquared-tethrateron E100(#^^####)^^###3 \(f_{\eta_{\varphi(4,0)+1}[3]}(100)\)
tetrastaculated-terrisquared-tethrateron E100(#^^####)^^###4 \(f_{\eta_{\varphi(4,0)+1}[4]}(100)\)
pentastaculated-terrisquared-tethrateron E100(#^^####)^^###5 \(f_{\eta_{\varphi(4,0)+1}[5]}(100)\)
hexastaculated-terrisquared-tethrateron E100(#^^####)^^###6 \(f_{\eta_{\varphi(4,0)+1}[6]}(100)\)
heptastaculated-terrisquared-tethrateron E100(#^^####)^^###7 \(f_{\eta_{\varphi(4,0)+1}[7]}(100)\)
octastaculated-terrisquared-tethrateron E100(#^^####)^^###8 \(f_{\eta_{\varphi(4,0)+1}[8]}(100)\)
ennastaculated-terrisquared-tethrateron E100(#^^####)^^###9 \(f_{\eta_{\varphi(4,0)+1}[9]}(100)\)
dekastaculated-terrisquared-tethrateron E100(#^^####)^^###10 \(f_{\eta_{\varphi(4,0)+1}[10]}(100)\)
terricubed-tethrateron E100(#^^####)^^###100 \(f_{\eta_{\varphi(4,0)+1}}(100)\)
double terricubed-tethrateron E100((#^^####)^^###)^^###100 \(f_{\eta_{\varphi(4,0)+2}}(100)\)
triple terricubed-tethrateron E100(#^^####)^^###>#3 \(f_{\eta_{\varphi(4,0)+3}}(100)\)
quadruple terricubed-tethrateron E100(#^^####)^^###>#4 \(f_{\eta_{\varphi(4,0)+4}}(100)\)
quintuple terricubed-tethrateron E100(#^^####)^^###>#5 \(f_{\eta_{\varphi(4,0)+5}}(100)\)
sextuple terricubed-tethrateron E100(#^^####)^^###>#6 \(f_{\eta_{\varphi(4,0)+6}}(100)\)
septuple terricubed-tethrateron E100(#^^####)^^###>#7 \(f_{\eta_{\varphi(4,0)+7}}(100)\)
octuple terricubed-tethrateron E100(#^^####)^^###>#8 \(f_{\eta_{\varphi(4,0)+8}}(100)\)
nonuple terricubed-tethrateron E100(#^^####)^^###>#9 \(f_{\eta_{\varphi(4,0)+9}}(100)\)
decuple terricubed-tethrateron E100(#^^####)^^###>#10 \(f_{\eta_{\varphi(4,0)+10}}(100)\)
centuple terricubed-tethrateron E100(#^^####)^^###>#100 \(f_{\eta_{\varphi(4,0)+\omega}}(100)\)
godgahlah-turreted-terricubed-tethrateron E100(#^^####)^^###>#^#100 \(f_{\eta_{\varphi(4,0)+\omega^{\omega}}}(100)\)
godgathor-turreted-terricubed-tethrateron E100(#^^####)^^###>#^#^#100 \(f_{\eta_{\varphi(4,0)+\omega^{\omega^{\omega}}}}(100)\)
godtothol-turreted-terricubed-tethrateron E100(#^^####)^^###>#^#^#^#100 \(f_{\eta_{\varphi(4,0)+\omega^{\omega^{\omega^{\omega}}}}}(100)\)
tethrathoth-turreted-terricubed-tethrateron E100(#^^####)^^###>#^^#100 \(f_{\eta_{\varphi(4,0)+\varepsilon_0}}(100)\)
Monster-Giant-turreted-terricubed-tethrateron E100(#^^####)^^###>(#^^#)^(#^^#)^#100 \(f_{\eta_{\varphi(4,0)+\varepsilon_0^{\varepsilon_0^{\omega}}}}(100)\)
territethrathoth-turreted-terricubed-tethrateron E100(#^^####)^^###>(#^^#)^^#100 \(f_{\eta_{\varphi(4,0)+\varepsilon_1}}(100)\)
Behemoth-Giant-turreted-terricubed-tethrateron E100(#^^####)^^###>(#^^#>2)^(#^^#>2)^#100 \(f_{\eta_{\varphi(4,0)+\varepsilon_1^{\varepsilon_1^{\omega}}}}(100)\)
territerritethrathoth-turreted-terricubed-tethrateron E100(#^^####)^^###>(#^^#>3)100 \(f_{\eta_{\varphi(4,0)+\varepsilon_2}}(100)\)
Trihemoth-Giant-turreted-terricubed-tethrateron E100(#^^####)^^###>(#^^#>3)^(#^^#>3)^#100 \(f_{\eta_{\varphi(4,0)+\varepsilon_2^{\varepsilon_2^{\omega}}}}(100)\)
tethriterator-turreted-terricubed-tethrateron E100(#^^####)^^###>#^^#>#100 \(f_{\eta_{\varphi(4,0)+\varepsilon_\omega}}(100)\)
dustacultethrathoth-turreted-terricubed-tethrateron E100(#^^####)^^###>#^^#>#^^#100 \(f_{\eta_{\varphi(4,0)+\varepsilon_{\varepsilon_0}}}(100)\)
tethracross-turreted-terricubed-tethrateron E100(#^^####)^^###>#^^##100 \(f_{\eta_{\varphi(4,0)+\zeta_0}}(100)\)
tethracubor-turreted-terricubed-tethrateron E100(#^^####)^^###>#^^###100 \(f_{\eta_{\varphi(4,0)+\eta_0}}(100)\)
tethrateron-turreted-terricubed-tethrateron E100(#^^####)^^###>#^^####100 \(f_{\eta_{\varphi(4,0)2}}(100)\)
dustaculated-terricubed-tethrateron E100(#^^####)^^###>(#^^####)^^###100 \(f_{\eta_{\eta_{\varphi(4,0)+1}}}(100)\)
tristaculated-terricubed-tethrateron E100(#^^####)^^####3 \(f_{\varphi(4,1)[3]}(100)\)
tetrastaculated-terricubed-tethrateron E100(#^^####)^^####4 \(f_{\varphi(4,1)[4]}(100)\)
pentastaculated-terricubed-tethrateron E100(#^^####)^^####5 \(f_{\varphi(4,1)[5]}(100)\)
hexastaculated-terricubed-tethrateron E100(#^^####)^^####6 \(f_{\varphi(4,1)[6]}(100)\)
heptastaculated-terricubed-tethrateron E100(#^^####)^^####7 \(f_{\varphi(4,1)[7]}(100)\)
octastaculated-terricubed-tethrateron E100(#^^####)^^####8 \(f_{\varphi(4,1)[8]}(100)\)
ennastaculated-terricubed-tethrateron E100(#^^####)^^####9 \(f_{\varphi(4,1)[9]}(100)\)
dekastaculated-terricubed-tethrateron E100(#^^####)^^####10 \(f_{\varphi(4,1)[10]}(100)\)
tethraduteron E100(#^^####)^^####100 \(f_{\varphi(4,1)}(100)\)
tethratriteron E100((#^^####)^^####)^^####100 \(f_{\varphi(4,2)}(100)\)
tethratetrateron E100#^^####>#4 \(f_{\varphi(4,3)}(100)\)
tethrapentateron E100#^^####>#5 \(f_{\varphi(4,4)}(100)\)
tethrahexateron E100#^^####>#6 \(f_{\varphi(4,5)}(100)\)
tethraheptateron E100#^^####>#7 \(f_{\varphi(4,6)}(100)\)
tethra-octateron E100#^^####>#8 \(f_{\varphi(4,7)}(100)\)
tethra-ennateron E100#^^####>#9 \(f_{\varphi(4,8)}(100)\)
tethradekateron E100#^^####>#10 \(f_{\varphi(4,9)}(100)\)
tethra-endekateron E100#^^####>#11 \(f_{\varphi(4,10)}(100)\)
tethradodekateron E100#^^####>#12 \(f_{\varphi(4,11)}(100)\)
tethra-icosateron E100#^^####>#20 \(f_{\varphi(4,19)}(100)\)
tethra-hectateron E100#^^####>#100 \(f_{\varphi(4,\omega)}(100)\)
godgahlah-turreted-tethrateron E100#^^####>#^#100 \(f_{\varphi(4,\omega^\omega)}(100)\)
godgathor-turreted-tethrateron E100#^^####>#^#^#100 \(f_{\varphi(4,\omega^{\omega^\omega})}(100)\)
godtothol-turreted-tethrateron E100#^^####>#^#^#^#100 \(f_{\varphi(4,\omega^{\omega^{\omega^\omega}})}(100)\)
tethrathoth-turreted-tethrateron E100#^^####>#^^#100 \(f_{\varphi(4,\varepsilon_0)}(100)\)
Monster-Giant-turreted-tethrateron E100#^^####>(#^^#)^(#^^#)^#100 \(f_{\varphi(4,\varepsilon_0^{\varepsilon_0^{\omega}})}(100)\)
territethrathoth-turreted-tethrateron E100#^^####>(#^^#)^^#100 \(f_{\varphi(4,\varepsilon_1)}(100)\)
Behemoth-Giant-turreted-tethrateron E100#^^####>(#^^#>2)^(#^^#>2)^#100 \(f_{\varphi(4,\varepsilon_1^{\varepsilon_1^{\omega}})}(100)\)
territerritethrathoth-turreted-tethrateron E100#^^####>(#^^#>3)100 \(f_{\varphi(4,\varepsilon_2)}(100)\)
Trihemoth-Giant-turreted-tethrateron E100#^^####>(#^^#>3)^(#^^#>3)^#100 \(f_{\varphi(4,\varepsilon_2^{\varepsilon_2^{\omega}})}(100)\)
tethriterator-turreted-tethrateron E100#^^####>#^^#>#100 \(f_{\varphi(4,\varepsilon_\omega)}(100)\)
dustacultethrathoth-turreted-tethrateron E100#^^####>#^^#>#^^#100 \(f_{\varphi(4,\varepsilon_{\varepsilon_0})}(100)\)
tethracross-turreted-tethrateron E100#^^####>#^^##100 \(f_{\varphi(4,\zeta_0)}(100)\)
tethracubor-turreted-tethrateron E100#^^####>#^^###100 \(f_{\varphi(4,\eta_0)}(100)\)
tethrathoth-turreted-tethracross-

turreted-tethracubor-turreted-tethrateron

E100#^^####>#^^###>#^^##>#^^#100 \(f_{\varphi(4,\eta_{\zeta_{\varepsilon_0}})}(100)\)
dustaculated-tethrateron E100#^^####>#^^####100 \(f_{\varphi(4,\varphi(4,0))}(100)\)
tristaculated-tethrateron E100#^^####>#^^####>#^^####100 \(f_{\varphi(5,0)[3]}(100)\)
tetrastaculated-tethrateron E100#^^#####4 \(f_{\varphi(5,0)[4]}(100)\)
pentastaculated-tethrateron E100#^^#####5 \(f_{\varphi(5,0)[5]}(100)\)
hexastaculated-tethrateron E100#^^#####6 \(f_{\varphi(5,0)[6]}(100)\)
heptastaculated-tethrateron E100#^^#####7 \(f_{\varphi(5,0)[7]}(100)\)
octastaculated-tethrateron E100#^^#####8 \(f_{\varphi(5,0)[8]}(100)\)
ennastaculated-tethrateron E100#^^#####9 \(f_{\varphi(5,0)[9]}(100)\)
dekastaculated-tethrateron E100#^^#####10 \(f_{\varphi(5,0)[10]}(100)\)
icosastaculated-tethrateron E100#^^#####20 \(f_{\varphi(5,0)[20]}(100)\)
triantastaculated-tethrateron E100#^^#####30 \(f_{\varphi(5,0)[30]}(100)\)
sarantastaculated-tethrateron E100#^^#####40 \(f_{\varphi(5,0)[40]}(100)\)
penintastaculated-tethrateron E100#^^#####50 \(f_{\varphi(5,0)[50]}(100)\)
exintastaculated-tethrateron E100#^^#####60 \(f_{\varphi(5,0)[60]}(100)\)
ebdomintastaculated-tethrateron E100#^^#####70 \(f_{\varphi(5,0)[70]}(100)\)
ogdontastaculated-tethrateron E100#^^#####80 \(f_{\varphi(5,0)[80]}(100)\)
enenintastaculated-tethrateron E100#^^#####90 \(f_{\varphi(5,0)[90]}(100)\)

Sources

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

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