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

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Pentacthulhum regiment Pentacthulcubor regiment

List of numbers of the regiment

Name of number Extended Cascading-E Notation (definition) Fast-growing hierarchy (approximation)
pentacthulcross E100#^^^##100 \(f_{\varphi(1,1,0)}(100)\)
grand pentacthulcross E100#^^^##100#2 \(f_{\varphi(1,1,0)}^2(100)\)
grangol-carta-pentacthulcross E100#^^^##100#100 \(f_{\varphi(1,1,0)+1}(100)\)
godgahlah-carta-pentacthulcross E100#^^^##100#^#100 \(f_{\varphi(1,1,0)+\omega^\omega}(100)\)
tethrathoth-carta-pentacthulcross E100#^^^##100#^^#100 \(f_{\varphi(1,1,0)+\varepsilon_0}(100)\)
tethracross-carta-pentacthulcross E100#^^^##100#^^##100 \(f_{\varphi(1,1,0)+\zeta_0}(100)\)
tethracubor-carta-pentacthulcross E100#^^^##100#^^###100 \(f_{\varphi(1,1,0)+\eta_0}(100)\)
tethrateron-carta-pentacthulcross E100#^^^##100#^^####100 \(f_{\varphi(1,1,0)+\varphi(4,0)}(100)\)
tethrapeton-carta-pentacthulcross E100#^^^##100(#^^#^5)100 \(f_{\varphi(1,1,0)+\varphi(5,0)}(100)\)
tethrahexon-carta-pentacthulcross E100#^^^##100(#^^#^6)100 \(f_{\varphi(1,1,0)+\varphi(6,0)}(100)\)
tethrahepton-carta-pentacthulcross E100#^^^##100(#^^#^7)100 \(f_{\varphi(1,1,0)+\varphi(7,0)}(100)\)
tethra-ogdon-carta-pentacthulcross E100#^^^##100(#^^#^8)100 \(f_{\varphi(1,1,0)+\varphi(8,0)}(100)\)
tethrennon-carta-pentacthulcross E100#^^^##100(#^^#^9)100 \(f_{\varphi(1,1,0)+\varphi(9,0)}(100)\)
tethradekon-carta-pentacthulcross E100#^^^##100(#^^#^10)100 \(f_{\varphi(1,1,0)+\varphi(10,0)}(100)\)
tethratope-carta-pentacthulcross E100#^^^##100#^^#^#100 \(f_{\varphi(1,1,0)+\varphi(\omega,0)}(100)\)
tethrarxitri-carta-pentacthulcross E100#^^^##100#^^#^^#100 \(f_{\varphi(1,1,0)+\varphi(\varepsilon_0,0)}(100)\)
tethrarxitet-carta-pentacthulcross E100#^^^##100#^^#^^#^^#100 \(f_{\varphi(1,1,0)+\varphi(\varphi(\varepsilon_0,0),0)}(100)\)
tethrarxipent-carta-pentacthulcross E100#^^^##100#^^^#5 \(f_{\varphi(1,1,0)+\Gamma_0[5]}(100)\)
tethrarxihex-carta-pentacthulcross E100#^^^##100#^^^#6 \(f_{\varphi(1,1,0)+\Gamma_0[6]}(100)\)
tethrarxihept-carta-pentacthulcross E100#^^^##100#^^^#7 \(f_{\varphi(1,1,0)+\Gamma_0[7]}(100)\)
tethrarxi-ogd-carta-pentacthulcross E100#^^^##100#^^^#8 \(f_{\varphi(1,1,0)+\Gamma_0[8]}(100)\)
tethrarxi-enn-carta-pentacthulcross E100#^^^##100#^^^#9 \(f_{\varphi(1,1,0)+\Gamma_0[9]}(100)\)
tethrarxideck-carta-pentacthulcross E100#^^^##100#^^^#10 \(f_{\varphi(1,1,0)+\Gamma_0[10]}(100)\)
pentacthulhum-carta-pentacthulcross E100#^^^##100#^^^#100 \(f_{\varphi(1,1,0)+\Gamma_0}(100)\)
dustaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^#>#^^^#100 \(f_{\varphi(1,0,0)+\Gamma_{\Gamma_0}}(100)\)
tristaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^#>#^^^#>#^^^#100 \(f_{\varphi(1,1,0)+\Gamma_{\Gamma_{\Gamma_0}}}(100)\)
tetrastaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^#>#^^^#>#^^^#>#^^^#100

= E100#^^^##100#^^^##4

\(f_{\varphi(1,1,0)+\varphi(1,1,0)[4]}(100)\)
pentastaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^##5 \(f_{\varphi(1,1,0)+\varphi(1,1,0)[5]}(100)\)
hexastaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^##6 \(f_{\varphi(1,1,0)+\varphi(1,1,0)[6]}(100)\)
heptastaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^##7 \(f_{\varphi(1,1,0)+\varphi(1,1,0)[7]}(100)\)
ogdastaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^##8 \(f_{\varphi(1,1,0)+\varphi(1,1,0)[8]}(100)\)
ennastaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^##9 \(f_{\varphi(1,1,0)+\varphi(1,1,0)[9]}(100)\)
dekastaculpentacthulhum-carta-pentacthulcross E100#^^^##100#^^^##10 \(f_{\varphi(1,1,0)+\varphi(1,1,0)[10]}(100)\)
pentacthulcross-by-deuteron E100#^^^##100#^^^##100 \(f_{\varphi(1,1,0)2}(100)\)
pentacthulcross-by-hyperion E100#^^^##*#100 \(f_{\varphi(1,1,0)\omega}(100)\)
pentacthulcross-by-godgahlah E100#^^^##*#^#100 \(f_{\varphi(1,1,0)\omega^\omega}(100)\)
pentacthulcross-by-tethrathoth E100#^^^##*#^^#100 \(f_{\varphi(1,1,0)\varepsilon_0}(100)\)
pentacthulcross-by-tethracross E100#^^^##*#^^##100 \(f_{\varphi(1,1,0)\zeta_0}(100)\)
pentacthulcross-by-tethracubor E100#^^^##*#^^###100 \(f_{\varphi(1,1,0)\eta_0}(100)\)
pentacthulcross-by-tethrateron E100#^^^##*#^^####100 \(f_{\varphi(1,1,0)\times\varphi(4,0)}(100)\)
pentacthulcross-by-tethrapeton E100#^^^##*(#^^#^5)100 \(f_{\varphi(1,1,0)\times\varphi(5,0)}(100)\)
pentacthulcross-by-tethrahexon E100#^^^##*(#^^#^6)100 \(f_{\varphi(1,1,0)\times\varphi(6,0)}(100)\)
pentacthulcross-by-tethrahepton E100#^^^##*(#^^#^7)100 \(f_{\varphi(1,1,0)\times\varphi(7,0)}(100)\)
pentacthulcross-by-tethra-ogdon E100#^^^##*(#^^#^8)100 \(f_{\varphi(1,1,0)\times\varphi(8,0)}(100)\)
pentacthulcross-by-tethrennon E100#^^^##*(#^^#^9)100 \(f_{\varphi(1,1,0)\times\varphi(9,0)}(100)\)
pentacthulcross-by-tethradekon E100#^^^##*(#^^#^10)100 \(f_{\varphi(1,1,0)\times\varphi(10,0)}(100)\)
pentacthulcross-by-tethratope E100#^^^##*#^^#^#100 \(f_{\varphi(1,1,0)\times\varphi(\omega,0)}(100)\)
pentacthulcross-by-tethrarxitri E100#^^^##*#^^#^^#100 \(f_{\varphi(1,1,0)\times\varphi(\varepsilon_0,0)}(100)\)
pentacthulcross-by-tethrarxitet E100#^^^##*#^^#^^#^^#100 \(f_{\varphi(1,1,0)\times\varphi(\varphi(\varepsilon_0,0),0)}(100)\)
pentacthulcross-by-tethrarxipent E100#^^^##*#^^^#5 \(f_{\varphi(1,1,0)\times\Gamma_0[5]}(100)\)
pentacthulcross-by-tethrarxihex E100#^^^##*#^^^#6 \(f_{\varphi(1,1,0)\times\Gamma_0[6]}(100)\)
pentacthulcross-by-tethrarxihept E100#^^^##*#^^^#7 \(f_{\varphi(1,1,0)\times\Gamma_0[7]}(100)\)
pentacthulcross-by-tethrarxi-ogd E100#^^^##*#^^^#8 \(f_{\varphi(1,1,0)\times\Gamma_0[8]}(100)\)
pentacthulcross-by-tethrarxi-enn E100#^^^##*#^^^#9 \(f_{\varphi(1,1,0)\times\Gamma_0[9]}(100)\)
pentacthulcross-by-tethrarxideck E100#^^^##*#^^^#10 \(f_{\varphi(1,1,0)\times\Gamma_0[10]}(100)\)
pentacthulcross-by-pentacthulhum E100#^^^##*#^^^#100 \(f_{\varphi(1,1,0)\times\Gamma_0}(100)\)
pentacthulcross-by-dustaculated-pentacthulhum E100#^^^##*#^^^#>#^^^#100 \(f_{\varphi(1,1,0)\times\Gamma_{\Gamma_0}}(100)\)
pentacthulcross-by-tristaculated-pentacthulhum E100#^^^##*#^^^#>#^^^#>#^^^#100 \(f_{\varphi(1,1,0)\times\varphi(1,1,0)[3]}(100)\)
pentacthulcross-by-tetrastaculated-pentacthulhum E100#^^^##*#^^^#>#^^^#>#^^^#>#^^^#100

= E100#^^^##*#^^^##4

\(f_{\varphi(1,1,0)\times\varphi(1,1,0)[4]}(100)\)
pentacthulcross-by-pentastaculated-pentacthulhum E100#^^^##*#^^^##5 \(f_{\varphi(1,1,0)\times\varphi(1,1,0)[5]}(100)\)
pentacthulcross-by-hexastaculated-pentacthulhum E100#^^^##*#^^^##6 \(f_{\varphi(1,1,0)\times\varphi(1,1,0)[6]}(100)\)
pentacthulcross-by-heptastaculated-pentacthulhum E100#^^^##*#^^^##7 \(f_{\varphi(1,1,0)\times\varphi(1,1,0)[7]}(100)\)
pentacthulcross-by-ogdastaculated-pentacthulhum E100#^^^##*#^^^##8 \(f_{\varphi(1,1,0)\times\varphi(1,1,0)[8]}(100)\)
pentacthulcross-by-ennastaculated-pentacthulhum E100#^^^##*#^^^##9 \(f_{\varphi(1,1,0)\times\varphi(1,1,0)[9]}(100)\)
pentacthulcross-by-dekastaculated-pentacthulhum E100#^^^##*#^^^##10 \(f_{\varphi(1,1,0)\times\varphi(1,1,0)[10]}(100)\)
deutero-pentacthulcross E100#^^^##*#^^^##100 \(f_{\varphi(1,1,0)^2}(100)\)
trito-pentacthulcross E100#^^^##*#^^^##*#^^^##100 \(f_{\varphi(1,1,0)^3}(100)\)
teterto-pentacthulcross E100#^^^##*#^^^##*#^^^##*#^^^##100

= E100(#^^^##)^#4

\(f_{\varphi(1,1,0)^4}(100)\)
pepto-pentacthulcross E100(#^^^##)^#5 \(f_{\varphi(1,1,0)^5}(100)\)
exto-pentacthulcross E100(#^^^##)^#6 \(f_{\varphi(1,1,0)^6}(100)\)
epto-pentacthulcross E100(#^^^##)^#7 \(f_{\varphi(1,1,0)^7}(100)\)
ogdo-pentacthulcross E100(#^^^##)^#8 \(f_{\varphi(1,1,0)^8}(100)\)
ento-pentacthulcross E100(#^^^##)^#9 \(f_{\varphi(1,1,0)^9}(100)\)
dekato-pentacthulcross E100(#^^^##)^#10 \(f_{\varphi(1,1,0)^{10}}(100)\)
pentacthulcruxifact E100(#^^^##)^#100 \(f_{\varphi(1,1,0)^\omega}(100)\)
quadratapentacthulcross E100(#^^^##)^##100 \(f_{\varphi(1,1,0)^{\omega^2}}(100)\)
kubikupentacthulcross E100(#^^^##)^###100 \(f_{\varphi(1,1,0)^{\omega^3}}(100)\)
quarticupentacthulcross E100(#^^^##)^####100 \(f_{\varphi(1,1,0)^{\omega^4}}(100)\)
quinticupentacthulcross E100((#^^^##)^#^5)100 \(f_{\varphi(1,1,0)^{\omega^5}}(100)\)
sexticupentacthulcross E100((#^^^##)^#^6)100 \(f_{\varphi(1,1,0)^{\omega^6}}(100)\)
septicupentacthulcross E100((#^^^##)^#^7)100 \(f_{\varphi(1,1,0)^{\omega^7}}(100)\)
octicupentacthulcross E100((#^^^##)^#^8)100 \(f_{\varphi(1,1,0)^{\omega^8}}(100)\)
nonicupentacthulcross E100((#^^^##)^#^9)100 \(f_{\varphi(1,1,0)^{\omega^9}}(100)\)
decicupentacthulcross E100((#^^^##)^#^10)100 \(f_{\varphi(1,1,0)^{\omega^{10}}}(100)\)
pentacthulcross-ipso-godgahlah E100(#^^^##)^#^#100 \(f_{\varphi(1,1,0)^{\omega^{\omega}}}(100)\)
pentacthulcross-ipso-tethrathoth E100(#^^^##)^#^^#100 \(f_{\varphi(1,1,0)^{\varepsilon_0}}(100)\)
pentacthulcross-ipso-tethracross E100(#^^^##)^#^^##100 \(f_{\varphi(1,1,0)^{\zeta_0}}(100)\)
pentacthulcross-ipso-tethracubor E100(#^^^##)^#^^###100 \(f_{\varphi(1,1,0)^{\eta_0}}(100)\)
pentacthulcross-ipso-tethrateron E100(#^^^##)^#^^####100 \(f_{\varphi(1,1,0)^{\varphi(4,0)}}(100)\)
pentacthulcross-ipso-tethrapeton E100(#^^^##)^(#^^#^5)100 \(f_{\varphi(1,1,0)^{\varphi(5,0)}}(100)\)
pentacthulcross-ipso-tethrahexon E100(#^^^##)^(#^^#^6)100 \(f_{\varphi(1,1,0)^{\varphi(6,0)}}(100)\)
pentacthulcross-ipso-tethrahepton E100(#^^^##)^(#^^#^7)100 \(f_{\varphi(1,1,0)^{\varphi(7,0)}}(100)\)
pentacthulcross-ipso-tethra-ogdon E100(#^^^##)^(#^^#^8)100 \(f_{\varphi(1,1,0)^{\varphi(8,0)}}(100)\)
pentacthulcross-ipso-tethrennon E100(#^^^##)^(#^^#^9)100 \(f_{\varphi(1,1,0)^{\varphi(9,0)}}(100)\)
pentacthulcross-ipso-tethradekon E100(#^^^##)^(#^^#^10)100 \(f_{\varphi(1,1,0)^{\varphi(10,0)}}(100)\)
pentacthulcross-ipso-tethratope E100(#^^^##)^#^^#^#100 \(f_{\varphi(1,1,0)^{\varphi(\omega,0)}}(100)\)
pentacthulcross-ipso-tethrarxitri E100(#^^^##)^#^^#^^#100 \(f_{\varphi(1,1,0)^{\varphi(\varepsilon_0,0)}}(100)\)
pentacthulcross-ipso-tethrarxitet E100(#^^^##)^#^^#^^#^^#100 \(f_{\varphi(1,1,0)^{\varphi(\varphi(\varepsilon_0,0),0)}}(100)\)
pentacthulcross-ipso-tethrarxipent E100(#^^^##)^#^^^#5 \(f_{\varphi(1,1,0)^{\Gamma_0[5]}}(100)\)
pentacthulcross-ipso-tethrarxihex E100(#^^^##)^#^^^#6 \(f_{\varphi(1,1,0)^{\Gamma_0[6]}}(100)\)
pentacthulcross-ipso-tethrarxihept E100(#^^^##)^#^^^#7 \(f_{\varphi(1,1,0)^{\Gamma_0[7]}}(100)\)
pentacthulcross-ipso-tethrarxi-ogd E100(#^^^##)^#^^^#8 \(f_{\varphi(1,1,0)^{\Gamma_0[8]}}(100)\)
pentacthulcross-ipso-tethrarxi-enn E100(#^^^##)^#^^^#9 \(f_{\varphi(1,1,0)^{\Gamma_0[9]}}(100)\)
pentacthulcross-ipso-tethrarxideck E100(#^^^##)^#^^^#10 \(f_{\varphi(1,1,0)^{\Gamma_0[10]}}(100)\)
pentacthulcross-ipso-pentacthulhum E100(#^^^##)^#^^^#100 \(f_{\varphi(1,1,0)^{\Gamma_0}}(100)\)
pentacthulcross-ipso-dustaculated-pentacthulhum E100(#^^^##)^#^^^#>#^^^#100 \(f_{\varphi(1,1,0)^{\Gamma_{\Gamma_0}}}(100)\)
pentacthulcross-ipso-tristaculated-pentacthulhum E100(#^^^##)^#^^^#>#^^^#>#^^^#100 \(f_{\varphi(1,1,0)^{\varphi(1,1,0)[3]}}(100)\)
pentacthulcross-ipso-tetrastaculated-pentacthulhum E100(#^^^##)^#^^^#>#^^^#>#^^^#>#^^^#100

= E100(#^^^##)^(#^^^##)4

\(f_{\varphi(1,1,0)^{\varphi(1,1,0)[4]}}(100)\)
pentacthulcross-ipso-pentastaculated-pentacthulhum E100(#^^^##)^(#^^^##)5 \(f_{\varphi(1,1,0)^{\varphi(1,1,0)[5]}}(100)\)
pentacthulcross-ipso-hexastaculated-pentacthulhum E100(#^^^##)^(#^^^##)6 \(f_{\varphi(1,1,0)^{\varphi(1,1,0)[6]}}(100)\)
pentacthulcross-ipso-heptastaculated-pentacthulhum E100(#^^^##)^(#^^^##)7 \(f_{\varphi(1,1,0)^{\varphi(1,1,0)[7]}}(100)\)
pentacthulcross-ipso-ogdastaculated-pentacthulhum E100(#^^^##)^(#^^^##)8 \(f_{\varphi(1,1,0)^{\varphi(1,1,0)[8]}}(100)\)
pentacthulcross-ipso-ennastaculated-pentacthulhum E100(#^^^##)^(#^^^##)9 \(f_{\varphi(1,1,0)^{\varphi(1,1,0)[9]}}(100)\)
pentacthulcross-ipso-dekastaculated-pentacthulhum E100(#^^^##)^(#^^^##)10 \(f_{\varphi(1,1,0)^{\varphi(1,1,0)[10]}}(100)\)
dutetrated-pentacthulcross E100(#^^^##)^(#^^^##)100 \(f_{\varphi(1,1,0)\uparrow\uparrow 2}(100)\)
tritetrated-pentacthulcross E100(#^^^##)^(#^^^##)^(#^^^##)100 \(f_{\varphi(1,1,0)\uparrow\uparrow 3}(100)\)
quadratetrated-pentacthulcross E100(#^^^##)^(#^^^##)^(#^^^##)^(#^^^##)100

= E100(#^^^##)^^#4

\(f_{\varphi(1,1,0)\uparrow\uparrow 4}(100)\)
quinquatetrated-pentacthulcross E100(#^^^##)^^#5 \(f_{\varphi(1,1,0)\uparrow\uparrow 5}(100)\)
sexatetrated-pentacthulcross E100(#^^^##)^^#6 \(f_{\varphi(1,1,0)\uparrow\uparrow 6}(100)\)
septatetrated-pentacthulcross E100(#^^^##)^^#7 \(f_{\varphi(1,1,0)\uparrow\uparrow 7}(100)\)
octatetrated-pentacthulcross E100(#^^^##)^^#8 \(f_{\varphi(1,1,0)\uparrow\uparrow 8}(100)\)
nonatetrated-pentacthulcross E100(#^^^##)^^#9 \(f_{\varphi(1,1,0)\uparrow\uparrow 9}(100)\)
decatetrated-pentacthulcross E100(#^^^##)^^#10 \(f_{\varphi(1,1,0)\uparrow\uparrow 10}(100)\)
terrible pentacthulcross E100(#^^^##)^^#100 \(f_{\varepsilon_{\varphi(1,1,0)+1}}(100)\)
terrisquared pentacthulcross E100(#^^^##)^^##100 \(f_{\zeta_{\varphi(1,1,0)+1}}(100)\)
terricubed pentacthulcross E100(#^^^##)^^###100 \(f_{\eta_{\varphi(1,1,0)+1}}(100)\)
territesserated pentacthulcross E100(#^^^##)^^####100 \(f_{\varphi(4,\varphi(1,1,0)+1)}(100)\)
terripenterated pentacthulcross E100(#^^^##)^^(#^5)100 \(f_{\varphi(5,\varphi(1,1,0)+1)}(100)\)
terrihexerated pentacthulcross E100(#^^^##)^^(#^6)100 \(f_{\varphi(6,\varphi(1,1,0)+1)}(100)\)
terrihepterated pentacthulcross E100(#^^^##)^^(#^7)100 \(f_{\varphi(7,\varphi(1,1,0)+1)}(100)\)
terriocterated pentacthulcross E100(#^^^##)^^(#^8)100 \(f_{\varphi(8,\varphi(1,1,0)+1)}(100)\)
terriennerated pentacthulcross E100(#^^^##)^^(#^9)100 \(f_{\varphi(9,\varphi(1,1,0)+1)}(100)\)
terridekerated pentacthulcross E100(#^^^##)^^(#^10)100 \(f_{\varphi(10,\varphi(1,1,0)+1)}(100)\)
territoped pentacthulcross E100(#^^^##)^^#^#100

= E100(#^^^##)^^(#^100)100

\(f_{\varphi(\omega,\varphi(1,1,0)+1)}(100)\)
grand territoped pentacthulcross = E100(#^^^##)^^#^#100#2 E100(#^^^##)^^(#^territoped pentacthulcross)100 \(f_{\varphi(4,\varphi(1,1,0)+1)}^2(100)\)
tethrathothitetrated pentacthulcross E100(#^^^##)^^#^^#100 \(f_{\varphi(\varepsilon_0,\varphi(1,1,0)+1)}(100)\)
pentacthulhutetrated pentacthulcross E100(#^^^##)^^#^^^#100 \(f_{\varphi(\Gamma_0,\varphi(1,1,0)+1)}(100)\)
dupentated pentacthulcross E100(#^^^##)^^(#^^^##)100 \(f_{\varphi(1,0,\varphi(1,1,0)+1)[1]}(100)\)
tripentated pentacthulcross E100(#^^^##)^^(#^^^##)^^(#^^^##)100 \(f_{\varphi(1,0,\varphi(1,1,0)+1)[2]}(100)\)
quadrapentated pentacthulcross E100(#^^^##)^^(#^^^##)^^(#^^^##)^^(#^^^##)100

= E100(#^^^##)^^^#4

\(f_{\varphi(1,0,\varphi(1,1,0)+1)[3]}(100)\)
quinquapentated pentacthulcross E100(#^^^##)^^^#5 \(f_{\varphi(1,0,\varphi(1,1,0)+1)[4]}(100)\)
sexapentated pentacthulcross E100(#^^^##)^^^#6 \(f_{\varphi(1,0,\varphi(1,1,0)+1)[5]}(100)\)
septapentated pentacthulcross E100(#^^^##)^^^#7 \(f_{\varphi(1,0,\varphi(1,1,0)+1)[6]}(100)\)
octapentated pentacthulcross E100(#^^^##)^^^#8 \(f_{\varphi(1,0,\varphi(1,1,0)+1)[7]}(100)\)
nonapentated pentacthulcross E100(#^^^##)^^^#9 \(f_{\varphi(1,0,\varphi(1,1,0)+1)[8]}(100)\)
decapentated pentacthulcross E100(#^^^##)^^^#10 \(f_{\varphi(1,0,\varphi(1,1,0)+1)[9]}(100)\)
horrible pentacthulcross E100(#^^^##)^^^#100 \(f_{\varphi(1,0,\varphi(1,1,0)+1)}(100)\)
horriterated pentacthulcross E100(#^^^##)^^^#>#100 \(f_{\varphi(1,0,\varphi(1,1,0)+\omega)}(100)\)
dustaculated horripentacthulcross E100(#^^^##)^^^#>(#^^^##)^^^#100 \(f_{\varphi(1,0,\varphi(1,0,\varphi(1,1,0)+1))}(100)\)
pentacthulducross E100(#^^^##)^^^##100 \(f_{\varphi(1,1,1)}(100)\)
pentacthultricross E100((#^^^##)^^^##)^^^##100 \(f_{\varphi(1,1,2)}(100)\)
pentacthultetracross E100(((#^^^##)^^^##)^^^##)^^^##100 \(f_{\varphi(1,1,3)}(100)\)
pentacthulpentacross E100#^^^##>#5 \(f_{\varphi(1,1,4)}(100)\)
pentacthulhexacross E100#^^^##>#6 \(f_{\varphi(1,1,5)}(100)\)
pentacthulheptacross E100#^^^##>#7 \(f_{\varphi(1,1,6)}(100)\)
pentacthuloctacross E100#^^^##>#8 \(f_{\varphi(1,1,7)}(100)\)
pentacthulennacross E100#^^^##>#9 \(f_{\varphi(1,1,8)}(100)\)
pentacthuldekacross E100#^^^##>#10 \(f_{\varphi(1,1,9)}(100)\)
pentacthulendekacross E100#^^^##>#11 \(f_{\varphi(1,1,10)}(100)\)
pentacthuldodekacross E100#^^^##>#12 \(f_{\varphi(1,1,11)}(100)\)
pentacthul-icosacross E100#^^^##>#20 \(f_{\varphi(1,1,19)}(100)\)
pentacthulitercross E100#^^^##>#100 \(f_{\varphi(1,1,\omega)}(100)\)
godgahlah-turreted-pentacthulcross E100#^^^##>#^#100 \(f_{\varphi(1,1,\omega^\omega)}(100)\)
tethrathoth-turreted-pentacthulcross E100#^^^##>#^^#100 \(f_{\varphi(1,1,\varepsilon_0)}(100)\)
tethracross-turreted-pentacthulcross E100#^^^##>#^^##100 \(f_{\varphi(1,1,\zeta_0)}(100)\)
tethracubor-turreted-pentacthulcross E100#^^^##>#^^###100 \(f_{\varphi(1,1,\eta_0)}(100)\)
tethrateron-turreted-pentacthulcross E100#^^^##>#^^####100 \(f_{\varphi(1,1,\varphi(4,0))}(100)\)
tethrapeton-turreted-pentacthulcross E100#^^^##>(#^^#^5)100 \(f_{\varphi(1,1,\varphi(5,0))}(100)\)
tethrahexon-turreted-pentacthulcross E100#^^^##>(#^^#^6)100 \(f_{\varphi(1,1,\varphi(6,0))}(100)\)
tethrahepton-turreted-pentacthulcross E100#^^^##>(#^^#^7)100 \(f_{\varphi(1,1,\varphi(7,0))}(100)\)
tethra-ogdon-turreted-pentacthulcross E100#^^^##>(#^^#^8)100 \(f_{\varphi(1,1,\varphi(8,0))}(100)\)
tethrennon-turreted-pentacthulcross E100#^^^##>(#^^#^9)100 \(f_{\varphi(1,1,\varphi(9,0))}(100)\)
tethradekon-turreted-pentacthulcross E100#^^^##>(#^^#^10)100 \(f_{\varphi(1,1,\varphi(10,0))}(100)\)
tethratope-turreted-pentacthulcross E100#^^^##>#^^#^#100 \(f_{\varphi(1,1,\varphi(\omega,0))}(100)\)
tethrarxitri-turreted-pentacthulcross E100#^^^##>#^^#^^#100 \(f_{\varphi(1,1,\varphi(\varepsilon_0,0))}(100)\)
pentacthulhum-turreted-pentacthulcross E100#^^^##>#^^^#100 \(f_{\varphi(1,1,\Gamma_0)}(100)\)
dustaculated pentacthulcross E100#^^^##>#^^^##100 \(f_{\varphi(1,1,\varphi(1,1,0))}(100)\)
tristaculated pentacthulcross E100#^^^##>#^^^##>#^^^##100 \(f_{\varphi(1,2,0)[3]}(100)\)
tetrastaculated pentacthulcross E100#^^^##>#^^^##>#^^^##>#^^^##100

= E100#^^^###4

\(f_{\varphi(1,2,0)[4]}(100)\)
pentastaculated pentacthulcross E100#^^^###5 \(f_{\varphi(1,2,0)[5]}(100)\)
hexastaculated pentacthulcross E100#^^^###6 \(f_{\varphi(1,2,0)[6]}(100)\)
heptastaculated pentacthulcross E100#^^^###7 \(f_{\varphi(1,2,0)[7]}(100)\)
ogdastaculated pentacthulcross E100#^^^###8 \(f_{\varphi(1,2,0)[8]}(100)\)
ennastaculated pentacthulcross E100#^^^###9 \(f_{\varphi(1,2,0)[9]}(100)\)
dekastaculated pentacthulcross E100#^^^###10 \(f_{\varphi(1,2,0)[10]}(100)\)
icosastaculated pentacthulcross E100#^^^###20 \(f_{\varphi(1,2,0)[20]}(100)\)
triantastaculated pentacthulcross E100#^^^###30 \(f_{\varphi(1,2,0)[30]}(100)\)
sarantastaculated pentacthulcross E100#^^^###40 \(f_{\varphi(1,2,0)[40]}(100)\)
penintastaculated pentacthulcross E100#^^^###50 \(f_{\varphi(1,2,0)[50]}(100)\)
exintastaculated pentacthulcross E100#^^^###60 \(f_{\varphi(1,2,0)[60]}(100)\)
ebdomintastaculated pentacthulcross E100#^^^###70 \(f_{\varphi(1,2,0)[70]}(100)\)
ogdontastaculated pentacthulcross E100#^^^###80 \(f_{\varphi(1,2,0)[80]}(100)\)
enenintastaculated pentacthulcross E100#^^^###90 \(f_{\varphi(1,2,0)[90]}(100)\)

Sources

  1. Sbiis Saibian, Extended Cascading-E Numbers Part III - 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 · Tethraennon 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