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

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Tethriterator regiment Tethracubor regiment

List of numbers of the regiment

Name of number Extended Cascading-E Notation (definition) Fast-growing hierarchy (approximation)
tethracross, tethrasquare E100#^^##100 \(f_{\zeta_0}(100)\)
grand tethracross E100#^^##100#2 \(f^2_{\zeta_0}(100)\)
grangol-carta-tethracross E100#^^##100#100 \(f_{\zeta_0+1}(100)\)
godgahlah-carta-tethracross E100#^^##100#^#100 \(f_{\zeta_0+\omega^\omega}(100)\)
tethrathoth-carta-tethracross E100#^^##100#^^#100 \(f_{\zeta_0+\varepsilon_0}(100)\)
tethriterator-carta-tethracross E100#^^##100#^^#>#100 \(f_{\zeta_0+\varepsilon_\omega}(100)\)
tethracross-by-deuteron E100#^^##100#^^##100 \(f_{\zeta_0\times2}(100)\)
tethracross-by-triton E100#^^##100#^^##100#^^##100 \(f_{\zeta_0\times3}(100)\)
tethracross-by-teterton E100#^^##*#5 \(f_{\zeta_0\times4}(100)\)
tethracross-by-pepton E100#^^##*#6 \(f_{\zeta_0\times5}(100)\)
tethracross-by-exton E100#^^##*#7 \(f_{\zeta_0\times6}(100)\)
tethracross-by-epton E100#^^##*#8 \(f_{\zeta_0\times7}(100)\)
tethracross-by-ogdon E100#^^##*#9 \(f_{\zeta_0\times8}(100)\)
tethracross-by-enton E100#^^##*#10 \(f_{\zeta_0\times9}(100)\)
tethracross-by-dekaton E100#^^##*#11 \(f_{\zeta_0\times10}(100)\)
deutero-tethracross E100#^^##*#^^##100 \(f_{\zeta_0^2}(100)\)
trito-tethracross E100#^^##*#^^##*#^^##100 \(f_{\zeta_0^3}(100)\)
teterto-tethracross E100#^^##*#^^##*#^^##*#^^##100 \(f_{\zeta_0^4}(100)\)
pepto-tethracross E100(#^^##)^#5 \(f_{\zeta_0^5}(100)\)
exto-tethracross E100(#^^##)^#6 \(f_{\zeta_0^6}(100)\)
epto-tethracross E100(#^^##)^#7 \(f_{\zeta_0^7}(100)\)
ogdo-tethracross E100(#^^##)^#8 \(f_{\zeta_0^8}(100)\)
ento-tethracross E100(#^^##)^#9 \(f_{\zeta_0^9}(100)\)
dekato-tethracross E100(#^^##)^#10 \(f_{\zeta_0^{10}}(100)\)
isosto-tethracross E100(#^^##)^#20 \(f_{\zeta_0^{20}}(100)\)
trianto-tethracross E100(#^^##)^#30 \(f_{\zeta_0^{30}}(100)\)
saranto-tethracross E100(#^^##)^#40 \(f_{\zeta_0^{40}}(100)\)
peninto-tethracross E100(#^^##)^#50 \(f_{\zeta_0^{50}}(100)\)
exinto-tethracross E100(#^^##)^#60 \(f_{\zeta_0^{60}}(100)\)
ebdominto-tethracross E100(#^^##)^#70 \(f_{\zeta_0^{70}}(100)\)
ogdonto-tethracross E100(#^^##)^#80 \(f_{\zeta_0^{80}}(100)\)
eneninto-tethracross E100(#^^##)^#90 \(f_{\zeta_0^{90}}(100)\)
hecato-tethracross, tethracruxifact E100(#^^##)^#100 \(f_{\zeta_0^\omega}(100)\)
grideutertethracross, tethracruxigrid E100(#^^##)^##100 \(f_{\zeta_0^{\omega^2}}(100)\)
kubicutethracross, tethracruxicube E100(#^^##)^###100 \(f_{\zeta_0^{\omega^3}}(100)\)
quarticutethracross, tethracruxitess E100(#^^##)^#####100 \(f_{\zeta_0^{\omega^4}}(100)\)
quinticutethracross E100(#^^##)^#^#5 \(f_{\zeta_0^{\omega^5}}(100)\)
sexticutethracross E100(#^^##)^#^#6 \(f_{\zeta_0^{\omega^6}}(100)\)
septicutethracross E100(#^^##)^#^#7 \(f_{\zeta_0^{\omega^7}}(100)\)
octicutethracross E100(#^^##)^#^#8 \(f_{\zeta_0^{\omega^8}}(100)\)
nonicutethracross E100(#^^##)^#^#9 \(f_{\zeta_0^{\omega^9}}(100)\)
decicutethracross E100(#^^##)^#^#10 \(f_{\zeta_0^{\omega^{10}}}(100)\)
centicutethracross E100(#^^##)^#^#100 \(f_{\zeta_0^{\omega^\omega}}(100)\)
tethracross-ad-gridgahlahium E100(#^^##)^#^##100 \(f_{\zeta_0^{\omega^{\omega^2}}}(100)\)
tethracross-ad-kubikahlahium E100(#^^##)^#^###100 \(f_{\zeta_0^{\omega^{\omega^3}}}(100)\)
tethracross-ad-quarticahlahium E100(#^^##)^#^####100 \(f_{\zeta_0^{\omega^{\omega^4}}}(100)\)
tethracross-ad-godgathorium E100(#^^##)^#^#^#100 \(f_{\zeta_0^{\omega^{\omega^\omega}}}(100)\)
tethracross-ad-godtotholium E100(#^^##)^#^#^#^#100 \(f_{\zeta_0^{\omega\uparrow\uparrow4}}(100)\)
tethracross-ad-godtertolium E100(#^^##)^#^#^#^#^#100 \(f_{\zeta_0^{\omega\uparrow\uparrow5}}(100)\)
tethracross-ad-godtopolium E100(#^^##)^#^^#6 \(f_{\zeta_0^{\omega\uparrow\uparrow6}}(100)\)
tethracross-ad-godhathorium E100(#^^##)^#^^#7 \(f_{\zeta_0^{\omega\uparrow\uparrow7}}(100)\)
tethracross-ad-godheptolium E100(#^^##)^#^^#8 \(f_{\zeta_0^{\omega\uparrow\uparrow8}}(100)\)
tethracross-ad-godoctolium E100(#^^##)^#^^#9 \(f_{\zeta_0^{\omega\uparrow\uparrow9}}(100)\)
tethracross-ad-godentolium E100(#^^##)^#^^#10 \(f_{\zeta_0^{\omega\uparrow\uparrow10}}(100)\)
tethracross-ad-goddekatholium E100(#^^##)^#^^#11 \(f_{\zeta_0^{\omega\uparrow\uparrow11}}(100)\)
tethracross-ad-tethrathothium E100(#^^##)^#^^#100 \(f_{\zeta_0^{\varepsilon_0}}(100)\)
tethracross-ad-Monster-Giantium E100(#^^##)^#^^#100 \(f_{\zeta_0^{\varepsilon_0^{\varepsilon_0^\omega}}}(100)\)
tethracross-ad-terrible-tethrathothium E100(#^^##)^(#^^#)^^#100 \(f_{\zeta_0^{\varepsilon_1}}(100)\)
tethracross-ad-terrible-terrible-tethrathothium E100(#^^##)^((#^^#)^^#)^^#100 \(f_{\zeta_0^{\varepsilon_2}}(100)\)
tethracross-ad-tethriteratorium E100(#^^##)^#^^#>#100 \(f_{\zeta_0^{\varepsilon_\omega}}(100)\)
tethracross-ad-tethriditeratorium E100(#^^##)^#^^#>(#+#)100 \(f_{\zeta_0^{\varepsilon_{\omega\times2}}}(100)\)
tethracross-ad-tethraspatialatorium E100(#^^##)^#^^#>#^#100 \(f_{\zeta_0^{\varepsilon_{\omega^\omega}}}(100)\)
tethracross-ad-dustaculated-tethrathothium E100(#^^##)^#^^#>#^^#100 \(f_{\zeta_0^{\varepsilon_{\varepsilon_0}}}(100)\)
tethracross-ad-tristaculated-tethrathothium E100(#^^##)^#^^#>#^^#>#^^#100 \(f_{\zeta_0^{\varepsilon_{\varepsilon_{\varepsilon_0}}}}(100)\)
tethracross-ad-tetrastaculated-tethrathothium E100(#^^##)^#^^#>#^^#>#^^#>#^^#100 \(f_{\zeta_0^{\zeta_0[4]}}(100)\)
tethracross-ad-pentastaculated-tethrathothium E100(#^^##)^#^^##5 \(f_{\zeta_0^{\zeta_0[5]}}(100)\)
tethracross-ad-hexastaculated-tethrathothium E100(#^^##)^#^^##6 \(f_{\zeta_0^{\zeta_0[6]}}(100)\)
tethracross-ad-heptastaculated-tethrathothium E100(#^^##)^#^^##7 \(f_{\zeta_0^{\zeta_0[7]}}(100)\)
tethracross-ad-octastaculated-tethrathothium E100(#^^##)^#^^##8 \(f_{\zeta_0^{\zeta_0[8]}}(100)\)
tethracross-ad-ennastaculated-tethrathothium E100(#^^##)^#^^##9 \(f_{\zeta_0^{\zeta_0[9]}}(100)\)
tethracross-ad-dekastaculated-tethrathothium E100(#^^##)^#^^##10 \(f_{\zeta_0^{\zeta_0[10]}}(100)\)
dutetrated-tethracross E100(#^^##)^(#^^##)100 \(f_{\zeta_0^{\zeta_0}}(100)\)
tritetrated-tethracross E100(#^^##)^(#^^##)^(#^^##)100 \(f_{\zeta_0^{\zeta_0^{\zeta_0}}}(100)\)
quadratetrated-tethracross E100(#^^##)^(#^^##)^(#^^##)^(#^^##)100 \(f_{\zeta_0\uparrow\uparrow4}(100)\)
quinquatetrated-tethracross E100(#^^##)^^#5 \(f_{\zeta_0\uparrow\uparrow5}(100)\)
sexatetrated-tethracross E100(#^^##)^^#6 \(f_{\zeta_0\uparrow\uparrow6}(100)\)
septatetrated-tethracross E100(#^^##)^^#7 \(f_{\zeta_0\uparrow\uparrow7}(100)\)
octatetrated-tethracross E100(#^^##)^^#8 \(f_{\zeta_0\uparrow\uparrow8}(100)\)
nonatetrated-tethracross E100(#^^##)^^#9 \(f_{\zeta_0\uparrow\uparrow9}(100)\)
decatetrated-tethracross E100(#^^##)^^#10 \(f_{\zeta_0\uparrow\uparrow10}(100)\)
terrible tethracross E100(#^^##)^^#100 \(f_{\varepsilon_{\zeta_0+1}}(100)\)
terrible terrible tethracross E100((#^^##)^^#)^^#100 \(f_{\varepsilon_{\zeta_0+2}}(100)\)
hundred-ex-terrible tethracross, tethriterated-tethracross E100(#^^##)^^#>#100 \(f_{\varepsilon_{\zeta_0+\omega}}(100)\)
hundred-ex-terrible territethracross E100((#^^##)^^#)^^#>#100 \(f_{\varepsilon_{\zeta_0+\omega}}(101)\)
tethrathoth-ex-terrible tethracross E100(#^^##)^^#>#(E100#^^#100) \(f_{\varepsilon_{\zeta_0+\omega}}(f_{\varepsilon_0}(100))\)
tethracross-ex-terrible tethracross E100(#^^##)^^#>#(E100#^^##100) \(f_{\varepsilon_{\zeta_0+\omega}}(f_{\zeta_0}(100))\)
grand tethriterated-tethracross E100(#^^##)^^#>#100#2 \(f^2_{\varepsilon_{\zeta_0+\omega}}(100)\)
tethriditerated-tethracross E100(#^^##)^^#>(#+#)100 \(f_{\varepsilon_{\zeta_0+\omega2}}(100)\)
tethritriterated-tethracross E100(#^^##)^^#>(#+#+#)100 \(f_{\varepsilon_{\zeta_0+\omega3}}(100)\)
tethriquaditerated-tethracross E100(#^^##)^^#>(#+#+#+#)100 \(f_{\varepsilon_{\zeta_0+\omega4}}(100)\)
tethriquiditerated-tethracross E100(#^^##)^^#>##5 \(f_{\varepsilon_{\zeta_0+\omega5}}(100)\)
tethrisiditerated-tethracross E100(#^^##)^^#>##6 \(f_{\varepsilon_{\zeta_0+\omega6}}(100)\)
tethrisepiterated-tethracross E100(#^^##)^^#>##7 \(f_{\varepsilon_{\zeta_0+\omega7}}(100)\)
tethri-ogditerated-tethracross E100(#^^##)^^#>##8 \(f_{\varepsilon_{\zeta_0+\omega8}}(100)\)
tethri-noniterated-tethracross E100(#^^##)^^#>##9 \(f_{\varepsilon_{\zeta_0+\omega9}}(100)\)
tethri-deciterated-tethracross E100(#^^##)^^#>##10 \(f_{\varepsilon_{\zeta_0+\omega10}}(100)\)
tethrigriditerated-tethracross E100(#^^##)^^#>##100 \(f_{\varepsilon_{\zeta_0+\omega^2}}(100)\)
tethricubiculated-tethracross E100(#^^##)^^#>###100 \(f_{\varepsilon_{\zeta_0+\omega^3}}(100)\)
tethriquarticulated-tethracross E100(#^^##)^^#>####100 \(f_{\varepsilon_{\zeta_0+\omega^4}}(100)\)
tethriquinticulated-tethracross E100(#^^##)^^#>#^#5 \(f_{\varepsilon_{\zeta_0+\omega^5}}(100)\)
tethrisexticulated-tethracross E100(#^^##)^^#>#^#6 \(f_{\varepsilon_{\zeta_0+\omega^6}}(100)\)
tethrisepticulated-tethracross E100(#^^##)^^#>#^#7 \(f_{\varepsilon_{\zeta_0+\omega^7}}(100)\)
tethri-octiculated-tethracross E100(#^^##)^^#>#^#8 \(f_{\varepsilon_{\zeta_0+\omega^8}}(100)\)
tethrinoniculated-tethracross E100(#^^##)^^#>#^#9 \(f_{\varepsilon_{\zeta_0+\omega^9}}(100)\)
tethrideciculated-tethracross E100(#^^##)^^#>#^#10 \(f_{\varepsilon_{\zeta_0+\omega^{10}}}(100)\)
tethrispatialated-tethracross E100(#^^##)^^#>#^#100 \(f_{\varepsilon_{\zeta_0+\omega^\omega}}(100)\)
tethrideuterspatialated-tethracross E100(#^^##)^^#>#^##100 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^2}}}(100)\)
tethritritospatialated-tethracross E100(#^^##)^^#>#^###100 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^3}}}(100)\)
tethritetertospatialated-tethracross E100(#^^##)^^#>#^####100 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^4}}}(100)\)
tethripeptospatialated-tethracross E100(#^^##)^^#>#^#^#5 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^5}}}(100)\)
tethriextospatialated-tethracross E100(#^^##)^^#>#^#^#6 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^6}}}(100)\)
tethrieptospatialated-tethracross E100(#^^##)^^#>#^#^#7 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^7}}}(100)\)
tethriogdospatialated-tethracross E100(#^^##)^^#>#^#^#8 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^8}}}(100)\)
tethrientospatialated-tethracross E100(#^^##)^^#>#^#^#9 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^9}}}(100)\)
tethridekatospatialated-tethracross E100(#^^##)^^#>#^#^#10 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^{10}}}}(100)\)
tethrisuperspatialated-tethracross E100(#^^##)^^#>#^#^#100 \(f_{\varepsilon_{\zeta_0+\omega^{\omega^\omega}}}(100)\)
tethriquadratetratediterated-tethracross E100(#^^##)^^#>#^#^#^#100 \(f_{\varepsilon_{\zeta_0+\omega\uparrow\uparrow4}}(100)\)
tethriquintatetratediterated-tethracross E100(#^^##)^^#>#^^#5 \(f_{\varepsilon_{\zeta_0+\omega\uparrow\uparrow5}}(100)\)
tethrisextatetratediterated-tethracross E100(#^^##)^^#>#^^#6 \(f_{\varepsilon_{\zeta_0+\omega\uparrow\uparrow6}}(100)\)
tethriseptatetratediterated-tethracross E100(#^^##)^^#>#^^#7 \(f_{\varepsilon_{\zeta_0+\omega\uparrow\uparrow7}}(100)\)
tethrioctatetratediterated-tethracross E100(#^^##)^^#>#^^#8 \(f_{\varepsilon_{\zeta_0+\omega\uparrow\uparrow8}}(100)\)
tethrinonatetratediterated-tethracross E100(#^^##)^^#>#^^#9 \(f_{\varepsilon_{\zeta_0+\omega\uparrow\uparrow9}}(100)\)
tethridecatetratediterated-tethracross E100(#^^##)^^#>#^^#10 \(f_{\varepsilon_{\zeta_0+\omega\uparrow\uparrow10}}(100)\)
tethricentatetratediterated-tethracross, tethrastaculated-tethritertethracross E100(#^^##)^^#>#^^#100 \(f_{\varepsilon_{\zeta_0+\varepsilon_0}}(100)\)
territethrastaculated-tethritertethracross E100(#^^##)^^#>(#^^#)^^#100 \(f_{\varepsilon_{\zeta_0+\varepsilon_1}}(100)\)
tethriterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#100 \(f_{\varepsilon_{\zeta_0+\varepsilon_\omega}}(100)\)
tethriditerstaculated-tethritertethracross E100(#^^##)^^#>#^^#>(#+#)100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega2}}}(100)\)
tethritriterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>(#+#+#)100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega3}}}(100)\)
tethriquaditerstaculated-tethritertethracross E100(#^^##)^^#>#^^#>(#+#+#+#)100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega4}}}(100)\)
tethrigriditerstaculated-tethritertethracross E100(#^^##)^^#>#^^#>##100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega^2}}}(100)\)
tethricubiterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>###100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega^3}}}(100)\)
tethriquartiterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>####100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega^4}}}(100)\)
tethrispatialiterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^#100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega^\omega}}}(100)\)
tethrisuperspatialiterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^#^#100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega^{\omega^\omega}}}}(100)\)
tethriquadratetratediterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^^#4 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega\uparrow\uparrow4}}}(100)\)
tethriquintatetratediterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^^#5 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega\uparrow\uparrow5}}}(100)\)
tethrisextatetratediterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^^#6 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega\uparrow\uparrow6}}}(100)\)
tethriseptatetratediterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^^#7 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega\uparrow\uparrow7}}}(100)\)
tethrioctatetratediterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^^#8 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega\uparrow\uparrow8}}}(100)\)
tethrinonatetratediterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^^#9 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega\uparrow\uparrow9}}}(100)\)
tethridecatetratediterstaculated-tethritertethracross E100(#^^##)^^#>#^^#>#^^#10 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\omega\uparrow\uparrow10}}}(100)\)
dustaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^#>#^^#100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\varepsilon_0}}}(100)\)
tristaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^#>#^^#>#^^#100 \(f_{\varepsilon_{\zeta_0+\varepsilon_{\varepsilon_{\varepsilon_0}}}}(100)\)
tetrastaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^##4 \(f_{\varepsilon_{\zeta_02[4]}}(100)\)
pentastaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^##5 \(f_{\varepsilon_{\zeta_02[5]}}(100)\)
sexastaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^##6 \(f_{\varepsilon_{\zeta_02[6]}}(100)\)
septastaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^##7 \(f_{\varepsilon_{\zeta_02[7]}}(100)\)
octastaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^##8 \(f_{\varepsilon_{\zeta_02[8]}}(100)\)
ennastaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^##9 \(f_{\varepsilon_{\zeta_02[9]}}(100)\)
dekastaculated-tethraturreted-tethritertethracross E100(#^^##)^^#>#^^##10 \(f_{\varepsilon_{\zeta_02[10]}}(100)\)
tethracrossturreted-tethritertethracross, tethracross-turreted-tethritertethracross E100(#^^##)^^#>#^^##100 \(f_{\varepsilon_{\zeta_02}}(100)\)
deutero tethracross-turreted-tethritertethracross E100(#^^##)^^#>#^^##*(#^^##)^^#>#^^##100 \(f_{\varepsilon_{\zeta_02}^2}(100)\)
trito tethracross-turreted-tethritertethracross E100((#^^##)^^#>#^^##)^#3 \(f_{\varepsilon_{\zeta_02}^3}(100)\)
teterto tethracross-turreted-tethritertethracross E100((#^^##)^^#>#^^##)^#4 \(f_{\varepsilon_{\zeta_02}^4}(100)\)
dutetrated tethracross-turreted-tethritertethracross E100((#^^##)^^#>#^^##)^((#^^##)^^#>#^^##)100 \(f_{\varepsilon_{\zeta_02}^{\varepsilon_{\zeta_02}}}(100)\)
tritetrated tethracross-turreted-tethritertethracross E100((#^^##)^^#>#^^##)^^#3 \(f_{\varepsilon_{\zeta_02}\uparrow\uparrow3}(100)\)
quadratetrated tethracross-turreted-tethritertethracross E100((#^^##)^^#>#^^##)^^#4 \(f_{\varepsilon_{\zeta_02}\uparrow\uparrow4}(100)\)
terrible tethracrossturreted-tethritertethracross E100((#^^##)^^#>#^^##)^^#100 \(f_{\varepsilon_{\zeta_02+1}}(100)\)
terrible terrible tethracrossturreted-territertethracross E100(((#^^##)^^#>#^^##)^^#)^^#100 \(f_{\varepsilon_{\zeta_02+2}}(100)\)
hundred-ex-terrible tethracrossturreted-territertethracross E100(#^^##)^^#>(#^^##+#)100 \(f_{\varepsilon_{\zeta_02+\omega}}(100)\)
godgahlah-teriterated-tethracruxiturreted-tethriterthethracross E100(#^^##)^^#>(#^^##+#^#)100 \(f_{\varepsilon_{\zeta_02+\omega^\omega}}(100)\)
tethrathoth-teriterated-tethracruxiturreted-tethritertethracross E100(#^^##)^^#>(#^^##+#^^#)100 \(f_{\varepsilon_{\zeta_02+\varepsilon_0}}(100)\)
terrible tethrathoth-teriterated-tethracruxiturreted-tethritertethracross E100((#^^##)^^#>(#^^##+#^^#))^^#100 \(f_{\varepsilon_{\zeta_02+\varepsilon_0+1}}(100)\)
hundred-ex-terrible tethrathoth-teriterated-tethracruxiturreted-tethritertethracross E100(#^^##)^^#>(#^^##+#^^#+#)100 \(f_{\varepsilon_{\zeta_02+\varepsilon_0+\omega}}(100)\)
Monster-Giant-teriterated-tethracruxiturreted-tethritertethracross E100(#^^##)^^#>(#^^##+(#^^#)^(#^^#)^#)100 \(f_{\varepsilon_{\zeta_02+\varepsilon_0^{\varepsilon_0^\omega}}}(100)\)
territethrathoth-teriterated-tethracruxiturreted-tethritertethracross E100(#^^##)^^#>(#^^##+(#^^#)^^#)100 \(f_{\varepsilon_{\zeta_02+\varepsilon_1}}(100)\)
tethriterator-teriterated-tethracruxiturreted-tethritertethracross E100(#^^##)^^#>(#^^##+#^^#>#)100 \(f_{\varepsilon_{\zeta_02+\varepsilon_\omega}}(100)\)
dustaculated-tethrathoth-teriterated-tethracruxiturreted-tethritertethracross E100(#^^##)^^#>(#^^##+#^^#>#^^#)100 \(f_{\varepsilon_{\zeta_02+\varepsilon_{\varepsilon_0}}}(100)\)
tethracross-teriterated-tethracruxiturreted-tethritertethracross E100(#^^##)^^#>(#^^##+#^^##)100 \(f_{\varepsilon_{\zeta_03}}(100)\)
tethracross-by-hyperion-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*#)100 \(f_{\varepsilon_{\zeta_0\omega}}(100)\)
tethracross-by-godgahlah-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*#^#)100 \(f_{\varepsilon_{\zeta_0\omega^\omega}}(100)\)
tethracross-by-tethrathoth-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*#^^#)100 \(f_{\varepsilon_{\zeta_0\varepsilon_0}}(100)\)
tethracross-by-Monster-Giant-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*(#^^#)^(#^^#)^#)100 \(f_{\varepsilon_{\zeta_0\varepsilon_0^{\varepsilon_0^\omega}}}(100)\)
tethracross-by-territethrathoth-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*(#^^#)^^#)100 \(f_{\varepsilon_{\zeta_0\varepsilon_1}}(100)\)
tethracross-by-tethriterator-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*#^^#>#)100 \(f_{\varepsilon_{\zeta_0\varepsilon_\omega}}(100)\)
tethracross-by-dustaculated-tethrathoth-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*#^^#>#^^#)100 \(f_{\varepsilon_{\zeta_0\varepsilon_{\varepsilon_0}}}(100)\)
tethracross-by-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*#^^##)100 \(f_{\varepsilon_{\zeta_0^2}}(100)\)
tritified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##*#^^##*#^^##)100 \(f_{\varepsilon_{\zeta_0^3}}(100)\)
tetertified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^#4 \(f_{\varepsilon_{\zeta_0^4}}(100)\)
peptified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^#5 \(f_{\varepsilon_{\zeta_0^5}}(100)\)
extified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^#6 \(f_{\varepsilon_{\zeta_0^6}}(100)\)
eptified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^#7 \(f_{\varepsilon_{\zeta_0^7}}(100)\)
ogdified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^#8 \(f_{\varepsilon_{\zeta_0^8}}(100)\)
entified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^#9 \(f_{\varepsilon_{\zeta_0^9}}(100)\)
dekatified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^#10 \(f_{\varepsilon_{\zeta_0^{10}}}(100)\)
tethracruxifact-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^#100 \(f_{\varepsilon_{\zeta_0^\omega}}(100)\)
tethracruxidutetrate-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^(#^^##)100 \(f_{\varepsilon_{\zeta_0^{\zeta_0}}}(100)\)
tethracruxitritetrate-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^(#^^##)^(#^^##)100 \(f_{\varepsilon_{\zeta_0\uparrow\uparrow3}}(100)\)
tethracruxitritetrate-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^(#^^##)^(#^^##)100 \(f_{\varepsilon_{\zeta_0\uparrow\uparrow3}}(100)\)
tethracruxiquadratetrate-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^^#4 \(f_{\varepsilon_{\zeta_0\uparrow\uparrow4}}(100)\)
territethracrossturreted-tethritertethracross, tethritertethracrossturreted-tethritertethracross, dustaculated-tethritertethracross E100(#^^##)^^#>(#^^##)^^#100 \(f_{\varepsilon_{\varepsilon_{\zeta_0+1}}}(100)\)
duterritethracrossturreted-tethritertethracross E100(#^^##)^^#>((#^^##)^^#)^^#100 \(f_{\varepsilon_{\varepsilon_{\zeta_0+2}}}(100)\)
hundred-ex-terrified-tethracross-turreted-tethritertethracross E100(#^^##)^^#>(#^^##)^^#>#100 \(f_{\varepsilon_{\varepsilon_{\zeta_0+\omega}}}(100)\)
tristaculated-tethritertethracross E100(#^^##)^^#>(#^^##)^^#>#>(#^^##)^^#100 \(f_{\varepsilon_{\varepsilon_{\varepsilon_{\zeta_0+1}}}}(100)\)
tetrastaculated-tethritertethracross E100(#^^##)^^##4 \(f_{\zeta_1[4]}(100)\)
pentastaculated-tethritertethracross E100(#^^##)^^##5 \(f_{\zeta_1[5]}(100)\)
hexastaculated-tethritertethracross E100(#^^##)^^##6 \(f_{\zeta_1[6]}(100)\)
heptastaculated-tethritertethracross E100(#^^##)^^##7 \(f_{\zeta_1[7]}(100)\)
ogdastaculated-tethritertethracross E100(#^^##)^^##8 \(f_{\zeta_1[8]}(100)\)
ennastaculated-tethritertethracross E100(#^^##)^^##9 \(f_{\zeta_1[9]}(100)\)
dekastaculated-tethritertethracross E100(#^^##)^^##10 \(f_{\zeta_1[10]}(100)\)
secundotethrated-tethracross E100(#^^##)^^##100 \(f_{\zeta_1}(100)\)
terrible secundotethrated-tethracross E100((#^^##)^^##)^^#100 \(f_{\varepsilon_{\zeta_1+1}}(100)\)
tethriterated-secundotethrated-tethracross E100((#^^##)^^##)^^#>#100 \(f_{\varepsilon_{\zeta_1+\omega}}(100)\)
dustaculated-secundotethrated-tethracross E100((#^^##)^^##)^^#>((#^^##)^^#)^^#100 \(f_{\varepsilon_{\varepsilon_{\zeta_1+1}}}(100)\)
tristaculated-secundotethrated-tethracross E100((#^^##)^^##)^^##3 \(f_{\varepsilon_{\varepsilon_{\varepsilon_{\zeta_1+1}}}}(100)\)
quadrastaculated-secundotethrated-tethracross E100((#^^##)^^##)^^##4 \(f_{\zeta_2[4]}(100)\)
quinquastaculated-secundotethrated-tethracross E100((#^^##)^^##)^^##5 \(f_{\zeta_2[5]}(100)\)
sexastaculated-secundotethrated-tethracross E100((#^^##)^^##)^^##6 \(f_{\zeta_2[6]}(100)\)
septastaculated-secundotethrated-tethracross E100((#^^##)^^##)^^##7 \(f_{\zeta_2[7]}(100)\)
ogdastaculated-secundotethrated-tethracross E100((#^^##)^^##)^^##8 \(f_{\zeta_2[8]}(100)\)
ennastaculated-secundotethrated-tethracross E100((#^^##)^^##)^^##9 \(f_{\zeta_2[9]}(100)\)
dekastaculated-secundotethrated-tethracross E100((#^^##)^^##)^^##10 \(f_{\zeta_2[10]}(100)\)
thrice-tethrasecunda E100((#^^##)^^##)^^##100 \(f_{\zeta_2}(100)\)
quatrice-tethrasecunda E100(((#^^##)^^##)^^##)^^##100 \(f_{\zeta_3}(100)\)
quincice-tethrasecunda E100#^^##>#5 \(f_{\zeta_4}(100)\)
sextice-tethrasecunda E100#^^##>#6 \(f_{\zeta_5}(100)\)
septice-tethrasecunda E100#^^##>#7 \(f_{\zeta_6}(100)\)
octice-tethrasecunda E100#^^##>#8 \(f_{\zeta_7}(100)\)
nonice-tethrasecunda E100#^^##>#9 \(f_{\zeta_8}(100)\)
decice-tethrasecunda E100#^^##>#10 \(f_{\zeta_9}(100)\)
tethritercross E100#^^##>#100 \(f_{\zeta_\omega}(100)\)
tethriditercross E100#^^##>(#+#)100 \(f_{\zeta_{\omega2}}(100)\)
tethritritercross E100#^^##>(#+#+#)100 \(f_{\zeta_{\omega3}}(100)\)
tethriquaditercross E100#^^##>(#+#+#+#)100 \(f_{\zeta_{\omega4}}(100)\)
tethriquiditercross E100#^^##>##5 \(f_{\zeta_{\omega5}}(100)\)
tethrisiditercross E100#^^##>##6 \(f_{\zeta_{\omega6}}(100)\)
tethrisepitercross E100#^^##>##7 \(f_{\zeta_{\omega7}}(100)\)
tethri-ogditercross E100#^^##>##8 \(f_{\zeta_{\omega8}}(100)\)
tethrinonitercross E100#^^##>##9 \(f_{\zeta_{\omega9}}(100)\)
tethridecitercross E100#^^##>##10 \(f_{\zeta_{\omega10}}(100)\)
tethrigriditercross E100#^^##>##100 \(f_{\zeta_{\omega^2}}(100)\)
tethricubiculcross E100#^^##>###100 \(f_{\zeta_{\omega^3}}(100)\)
tethriquarticulcross E100#^^##>####100 \(f_{\zeta_{\omega^4}}(100)\)
tethriquinticulcross E100#^^##>#^#5 \(f_{\zeta_{\omega^5}}(100)\)
tethrisexticulcross E100#^^##>#^#6 \(f_{\zeta_{\omega^6}}(100)\)
tethrisepticulcross E100#^^##>#^#7 \(f_{\zeta_{\omega^7}}(100)\)
tethri-octiculcross E100#^^##>#^#8 \(f_{\zeta_{\omega^8}}(100)\)
tethrinoniculcross E100#^^##>#^#9 \(f_{\zeta_{\omega^9}}(100)\)
tethrideciculcross E100#^^##>#^#10 \(f_{\zeta_{\omega^{10}}}(100)\)
tethrispatialcross E100#^^##>#^#100 \(f_{\zeta_{\omega^\omega}}(100)\)
tethrisuperspatialcross E100#^^##>#^#^#100 \(f_{\zeta_{\omega^{\omega^\omega}}}(100)\)
tethritrimensionalcross E100#^^##>#^#^#^#100 \(f_{\zeta_{\omega^{\omega^{\omega^\omega}}}}(100)\)
tethriquadramensionalcross E100#^^##>#^^#5 \(f_{\zeta_{\omega\uparrow\uparrow5}}(100)\)
tethriquintamensionalcross E100#^^##>#^^#6 \(f_{\zeta_{\omega\uparrow\uparrow6}}(100)\)
tethrisexamensionalcross E100#^^##>#^^#7 \(f_{\zeta_{\omega\uparrow\uparrow7}}(100)\)
tethrseptamensionalcross E100#^^##>#^^#8 \(f_{\zeta_{\omega\uparrow\uparrow8}}(100)\)
tethri-octamensionalcross E100#^^##>#^^#9 \(f_{\zeta_{\omega\uparrow\uparrow9}}(100)\)
tethrinonamensionalcross E100#^^##>#^^#10 \(f_{\zeta_{\omega\uparrow\uparrow10}}(100)\)
tethraidecamensionalcross E100#^^##>#^^#11 \(f_{\zeta_{\omega\uparrow\uparrow11}}(100)\)
tethraturreted-tethracross E100#^^##>#^^#100 \(f_{\zeta_{\varepsilon_0}}(100)\)
dustacutethraturreted-tethracross E100#^^##>#^^#>#^^#100 \(f_{\zeta_{\varepsilon_{\varepsilon_0}}}(100)\)
tristacutethraturreted-tethracross E100#^^##>#^^#>#^^#>#^^#100 \(f_{\zeta_{\varepsilon_{\varepsilon_{\varepsilon_0}}}}(100)\)
tetrastacutethraturreted-tethracross E100#^^##>#^^##4 \(f_{\zeta_{\zeta_0[4]}}(100)\)
pentastacutethraturreted-tethracross E100#^^##>#^^##5 \(f_{\zeta_{\zeta_0[5]}}(100)\)
hexastacutethraturreted-tethracross E100#^^##>#^^##6 \(f_{\zeta_{\zeta_0[6]}}(100)\)
heptastacutethraturreted-tethracross E100#^^##>#^^##7 \(f_{\zeta_{\zeta_0[7]}}(100)\)
ogdastacutethraturreted-tethracross E100#^^##>#^^##8 \(f_{\zeta_{\zeta_0[8]}}(100)\)
ennastacutethraturreted-tethracross E100#^^##>#^^##9 \(f_{\zeta_{\zeta_0[9]}}(100)\)
dekastacutethraturreted-tethracross E100#^^##>#^^##10 \(f_{\zeta_{\zeta_0[10]}}(100)\)
dustaculated-tethracross E100#^^##>#^^##100 \(f_{\zeta_{\zeta_0}}(100)\)
terrible dustaculated-tethracross E100(#^^##>#^^##)^^#100 \(f_{\varepsilon_{\zeta_{\zeta_0}+1}}(100)\)
tethriterated dustaculated-tethracross E100(#^^##>#^^##)^^#>#100 \(f_{\varepsilon_{\zeta_{\zeta_0}+\omega}}(100)\)
terrisecunded dustaculated-tethracross E100(#^^##>#^^##)^^##100 \(f_{\zeta_{\zeta_0+1}}(100)\)
double terrisecunded dustaculated-tethracross E100((#^^##>#^^##)^^##)^^##100 \(f_{\zeta_{\zeta_0+2}}(100)\)
hundred-ex-terrisecunded dustaculated-tethracross E100#^^##>(#^^##+#)100 \(f_{\zeta_{\zeta_0+\omega}}(100)\)
tristaculated-tethracross E100#^^##>#^^##>#^^##100 \(f_{\zeta_{\zeta_{\zeta_0}}}(100)\)
tetrastaculated-tethracross E100#^^##>#^^##>#^^##>#^^##100 \(f_{\eta_0[4]}(100)\)
pentastaculated-tethracross E100#^^###5 \(f_{\eta_0[5]}(100)\)
sexastaculated-tethracross E100#^^###6 \(f_{\eta_0[6]}(100)\)
septastaculated-tethracross E100#^^###7 \(f_{\eta_0[7]}(100)\)
ogdastaculated-tethracross E100#^^###8 \(f_{\eta_0[8]}(100)\)
ennastaculated-tethracross E100#^^###9 \(f_{\eta_0[9]}(100)\)
dekastaculated-tethracross E100#^^###10 \(f_{\eta_0[10]}(100)\)
icosastaculated-tethracross E100#^^###20 \(f_{\eta_0[20]}(100)\)
triantastaculated-tethracross E100#^^###30 \(f_{\eta_0[30]}(100)\)
sarantastaculated-tethracross E100#^^###40 \(f_{\eta_0[40]}(100)\)
penintastaculated-tethracross E100#^^###50 \(f_{\eta_0[50]}(100)\)
exintastaculated-tethracross E100#^^###60 \(f_{\eta_0[60]}(100)\)
ebdomintastaculated-tethracross E100#^^###70 \(f_{\eta_0[70]}(100)\)
ogdontastaculated-tethracross E100#^^###80 \(f_{\eta_0[80]}(100)\)
enenintastaculated-tethracross E100#^^###90 \(f_{\eta_0[90]}(100)\)

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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