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The tethrahepton regiment is a series of numbers from E100#^^#^#7 to E100#^^(#^8)90 defined using Extended Cascading-E Notation (i.e. beginning from tethrahepton and up to enenintastaculated-tethrahepton).[1] The numbers were coined by Sbiis Saibian.

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Tethrahexon regiment Tethra-ogdon regiment

List of numbers of the regiment Edit

Name of number Extended Cascading-E Notation (definition) Fast-growing hierarchy (approximation) Hardy hierarchy (approximation)
tethrahepton, tethrahepteract E100#^^#^#7 \(f_{\varphi(7,0)}(100)\) \(H_{\varphi(7,0)}(100)\)
grand tethrahepton E100#^^#^(7)100#2 \(f_{\varphi(7,0)}^2(100)\) \(H_{\varphi(7,0)\times 2}(100)\)
grangol-carta-tethrahepton E100#^^#^(7)100#100 \(f_{\varphi(7,0)+1}(100)\) \(H_{\varphi(7,0)\times\omega}(100)\)
grand grangol-carta-tethrahepton E100#^^#^(7)100#100#2 \(f_{\varphi(7,0)+1}^2(100)\) \(H_{\varphi(7,0)\times\omega 2}(100)\)
godgahlah-carta-tethrahepton E100#^^#^(7)100#^#100 \(f_{\varphi(7,0)+\omega^\omega}(100)\) \(H_{\varphi(7,0)\times \omega^{\omega^\omega}}(100)\)
tethrathoth-carta-tethrahepton E100#^^#^(7)100#^^#100 \(f_{\varphi(7,0)+\varepsilon_0}(100)\) \(H_{\varphi(7,0)\times \varepsilon_0}(100)\)
tethracross-carta-tethrahepton E100#^^#^(7)100#^^##100 \(f_{\varphi(7,0)+\zeta_0}(100)\) \(H_{\varphi(7,0)\times\zeta_0}(100)\)
tethracubor-carta-tethrahepton E100#^^#^(7)100#^^###100 \(f_{\varphi(7,0)+\eta_0}(100)\) \(H_{\varphi(7,0)\eta_0}(100)\)
tethrateron-carta-tethrahepton E100#^^#^(7)100#^^####100 \(f_{\varphi(7,0)+\varphi(4,0)}(100)\) \(H_{\varphi(7,0)\varphi(4,0)}(100)\)
tethrapeton-carta-tethrahepton E100#^^#^(7)100#^^#^(5)100 \(f_{\varphi(7,0)+\varphi(5,0)}(100)\) \(H_{\varphi(7,0)\times \varphi(5,0)}(100)\)
tethrahexon-carta-tethrahepton E100#^^#^(7)100#^^#^(6)100 \(f_{\varphi(7,0)+\varphi(6,0)}(100)\) \(H_{\varphi(7,0)\times \varphi(6,0)}(100)\)
tethrahepton-by-deuteron E100#^^#^(7)100#^^#^(7)100 \(f_{\varphi(7,0)2}(100)\) \(H_{\varphi(7,0)^2}(100)\)
tethrahepton-by-triton E100#^^#^(7)100#^^#^(7)100#^^#^(7)100

= E100(#^^#^7)*#4

\(f_{\varphi(7,0)\times 3}(100)\) \(H_{\varphi(7,0)^3}(100)\)
tethrahepton-by-teterton E100(#^^#^7)*#5 \(f_{\varphi(7,0)\times 4}(100)\) \(H_{\varphi(7,0)^4}(100)\)
tethrahepton-by-pepton E100(#^^#^7)*#6 \(f_{\varphi(7,0)\times 5}(100)\) \(H_{\varphi(7,0)^5}(100)\)
tethrahepton-by-exton E100(#^^#^7)*#7 \(f_{\varphi(7,0)\times 6}(100)\) \(H_{\varphi(7,0)^6}(100)\)
tethrahepton-by-epton E100(#^^#^7)*#8 \(f_{\varphi(7,0)\times 7}(100)\) \(H_{\varphi(7,0)^7}(100)\)
tethrahepton-by-ogdon E100(#^^#^7)*#9 \(f_{\varphi(7,0)\times 8}(100)\) \(H_{\varphi(7,0)^8}(100)\)
tethrahepton-by-enton E100(#^^#^7)*#10 \(f_{\varphi(7,0)\times 9}(100)\) \(H_{\varphi(7,0)^9}(100)\)
tethrahepton-by-dekaton E100(#^^#^7)*#11 \(f_{\varphi(7,0)\times {10}}(100)\) \(H_{\varphi(7,0)^{10}}(100)\)
tethrahepton-by-hyperion E100(#^^#^7)*#100 \(f_{\varphi(7,0)\times {\omega}}(100)\) \(H_{\varphi(7,0)^{\omega}}(100)\)
tethrahepton-by-godgahlah E100(#^^#^7)*#^#100 \(f_{\varphi(7,0)\times {\omega^{\omega}}}(100)\) \(H_{\varphi(7,0)^{\omega^\omega}}(100)\)
tethrahepton-by-tethrathoth E100(#^^#^7)*#^^#100 \(f_{\varphi(7,0)\times\varepsilon_0}(100)\) \(H_{\varphi(7,0)^{\varepsilon_0}}(100)\)
tethrahepton-by-tethracross E100(#^^#^7)*#^^##100 \(f_{\varphi(7,0)\times\zeta_0}(100)\) \(H_{\varphi(7,0)^{\zeta_0}}(100)\)
tethrahepton-by-tethracubor E100(#^^#^7)*#^^###100 \(f_{\varphi(7,0)\times\eta_0}(100)\) \(H_{\varphi(7,0)^{\eta_0}}(100)\)
tethrahepton-by-tethrateron E100(#^^#^7)*#^^####100 \(f_{\varphi(7,0)\times\varphi(4,0)}(100)\) \(H_{\varphi(7,0)^{\varphi(4,0)}}(100)\)
tethrahepton-by-tethrapeton E100(#^^#^7)*#^^#^(5)100 \(f_{\varphi(7,0)\times\varphi(5,0)}(100)\) \(H_{\varphi(7,0)^{\varphi(5,0)}}(100)\)
tethrahepton-by-tethrahexon E100(#^^#^7)*#^^#^(6)100 \(f_{\varphi(7,0)\times\varphi(6,0)}(100)\) \(H_{\varphi(7,0)^{\varphi(6,0)}}(100)\)
deutero-tethrahepton E100#^^#^(7)*#^^#^(7)100 \(f_{\varphi(7,0)\times\varphi(7,0)}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)}}(100)\)
trito-tethrahepton E100#^^#^(7)*#^^#^(7)*#^^#^(7)100

=E100(#^^#^7)^#3

\(f_{\varphi(7,0)^3}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^2}}(100)\)
teterto-tethrahepton E100(#^^#^7)^#4 \(f_{\varphi(7,0)^4}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^3}}(100)\)
pepto-tethrahepton E100(#^^#^7)^#5 \(f_{\varphi(7,0)^5}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^4}}(100)\)
exto-tethrahepton E100(#^^#^7)^#6 \(f_{\varphi(7,0)^6}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^5}}(100)\)
epto-tethrahepton E100(#^^#^7)^#7 \(f_{\varphi(7,0)^7}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^6}}(100)\)
ogdo-tethrahepton E100(#^^#^7)^#8 \(f_{\varphi(7,0)^8}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^7}}(100)\)
ento-tethrahepton E100(#^^#^7)^#9 \(f_{\varphi(7,0)^9}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^8}}(100)\)
dekato-tethrahepton E100(#^^#^7)^#10 \(f_{\varphi(7,0)^{10}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^9}}(100)\)
tethraheptonifact E100(#^^#^7)^#100 \(f_{\varphi(7,0)^\omega}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^\omega}}(100)\)
quadratatethrahepton E100(#^^#^7)^##100 \(f_{\varphi(7,0)^{\omega^2}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^2}}}(100)\)
kubikutethrahepton E100(#^^#^7)^###100 \(f_{\varphi(7,0)^{\omega^3}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^3}}}(100)\)
quarticutethrahepton E100(#^^#^7)^####100 \(f_{\varphi(7,0)^{\omega^4}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^4}}}(100)\)
quinticutethrahepton E100(#^^#^7)^#^#5 \(f_{\varphi(7,0)^{\omega^5}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^5}}}(100)\)
sexticutethrahepton E100(#^^#^7)^#^#6 \(f_{\varphi(7,0)^{\omega^6}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^6}}}(100)\)
septicutethrahepton E100(#^^#^7)^#^#7 \(f_{\varphi(7,0)^{\omega^7}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^7}}}(100)\)
octicutethrahepton E100(#^^#^7)^#^#8 \(f_{\varphi(7,0)^{\omega^8}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^8}}}(100)\)
nonicutethrahepton E100(#^^#^7)^#^#9 \(f_{\varphi(7,0)^{\omega^9}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^9}}}(100)\)
decicutethrahepton E100(#^^#^7)^#^#10 \(f_{\varphi(7,0)^{\omega^{10}}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^{10}}}}(100)\)
tethrahepton-ipso-godgahlah E100(#^^#^7)^#^#100 \(f_{\varphi(7,0)^{\omega^\omega}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^\omega}}}(100)\)
tethrahepton-ipso-godgathor E100(#^^#^7)^#^#^#100 \(f_{\varphi(7,0)^{\omega^{\omega^\omega}}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^{\omega^\omega}}}}(100)\)
tethrahepton-ipso-godtothol E100(#^^#^7)^#^#^#^#100 \(f_{\varphi(7,0)^{\omega^{\omega^{\omega^\omega}}}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\omega^{\omega^{\omega^\omega}}}}}(100)\)
tethrahepton-ipso-tethrathoth E100(#^^#^7)^#^^#100 \(f_{\varphi(7,0)^{\varepsilon_0}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\varepsilon_0}}}(100)\)
tethrahepton-ipso-tethracross E100(#^^#^7)^#^^##100 \(f_{\varphi(7,0)^{\zeta_0}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\zeta_0}}}(100)\)
tethrahepton-ipso-tethracubor E100(#^^#^7)^#^^###100 \(f_{\varphi(7,0)^{\eta_0}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\eta_0}}}(100)\)
tethrahepton-ipso-tethrateron E100(#^^#^7)^#^^####100 \(f_{\varphi(7,0)^{\varphi(4,0)}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\varphi(4,0)}}}(100)\)
tethrahepton-ipso-tethrapeton E100(#^^#^7)^#^^#^(5)100 \(f_{\varphi(7,0)^{\varphi(5,0)}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\varphi(5,0)}}}(100)\)
tethrahepton-ipso-tethrahexon E100(#^^#^7)^#^^#^(6)100 \(f_{\varphi(7,0)^{\varphi(6,0)}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\varphi(6,0)}}}(100)\)
dutetrated-tethrahepton E100(#^^#^7)^(#^^#^7)100 \(f_{\varphi(7,0)^{\varphi(7,0)}}(100)\) \(H_{\varphi(7,0)^{\varphi(7,0)^{\varphi(7,0)}}}(100)\)
tritetrated-tethrahepton E100(#^^#^7)^(#^^#^7)^(#^^#^7)100 \(f_{\varphi(7,0)\uparrow\uparrow 3}(100)\) \(H_{\varphi(7,0)\uparrow\uparrow 4}(100)\)
quadratetrated-tethrahepton E100(#^^#^7)^(#^^#^7)^(#^^#^7)^(#^^#^7)100

= E100(#^^#^7)^^#4

\(f_{\varphi(7,0)\uparrow\uparrow 4}(100)\) \(H_{\varphi(7,0)\uparrow\uparrow 5}(100)\)
quinquatetrated-tethrahepton E100(#^^#^7)^^#5 \(f_{\varphi(7,0)\uparrow\uparrow 5}(100)\) \(H_{\varphi(7,0)\uparrow\uparrow 6}(100)\)
sexatetrated-tethrahepton E100(#^^#^7)^^#6 \(f_{\varphi(7,0)\uparrow\uparrow 6}(100)\) \(H_{\varphi(7,0)\uparrow\uparrow 7}(100)\)
septatetrated-tethrahepton E100(#^^#^7)^^#7 \(f_{\varphi(7,0)\uparrow\uparrow 7}(100)\) \(H_{\varphi(7,0)\uparrow\uparrow 8}(100)\)
octatetrated-tethrahepton E100(#^^#^7)^^#8 \(f_{\varphi(7,0)\uparrow\uparrow 8}(100)\) \(H_{\varphi(7,0)\uparrow\uparrow 9}(100)\)
nonatetrated-tethrahepton E100(#^^#^7)^^#9 \(f_{\varphi(7,0)\uparrow\uparrow 9}(100)\) \(H_{\varphi(7,0)\uparrow\uparrow {10}}(100)\)
decatetrated-tethrahepton E100(#^^#^7)^^#10 \(f_{\varphi(7,0)\uparrow\uparrow {10}}(100)\) \(H_{\varphi(7,0)\uparrow\uparrow {11}}(100)\)
terrible tethrahepton E100(#^^#^7)^^#100 \(f_{\varepsilon_{\varphi(7,0)+1}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+1}}(100)\)
terrible terrible tethrahepton E100((#^^#^7)^^#)^^#100 \(f_{\varepsilon_{\varphi(7,0)+2}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+2}}(100)\)
three-ex-terrible tethrahepton E100(#^^#^7)^^#>(3)100 \(f_{\varepsilon_{\varphi(7,0)+3}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+3}}(100)\)
four-ex-terrible tethrahepton E100(#^^#^7)^^#>(4)100 \(f_{\varepsilon_{\varphi(7,0)+4}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+4}}(100)\)
five-ex-terrible tethrahepton E100(#^^#^7)^^#>(5)100 \(f_{\varepsilon_{\varphi(7,0)+5}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+5}}(100)\)
six-ex-terrible tethrahepton E100(#^^#^7)^^#>(6)100 \(f_{\varepsilon_{\varphi(7,0)+6}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+6}}(100)\)
seven-ex-terrible tethrahepton E100(#^^#^7)^^#>(7)100 \(f_{\varepsilon_{\varphi(7,0)+7}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+7}}(100)\)
eight-ex-terrible tethrahepton E100(#^^#^7)^^#>(8)100 \(f_{\varepsilon_{\varphi(7,0)+8}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+8}}(100)\)
nine-ex-terrible tethrahepton E100(#^^#^7)^^#>(9)100 \(f_{\varepsilon_{\varphi(7,0)+9}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+9}}(100)\)
ten-ex-terrible tethrahepton E100(#^^#^7)^^#>(10)100 \(f_{\varepsilon_{\varphi(7,0)+10}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+10}}(100)\)
territerated tethrahepton E100(#^^#^7)^^#>#100 \(f_{\varepsilon_{\varphi(7,0)+\omega}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\omega}}(100)\)
godgahlah-turreted-territethrahepton E100(#^^#^7)^^#>#^#100 \(f_{\varepsilon_{\varphi(7,0)+\omega^\omega}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\omega^\omega}}(100)\)
tethrathoth-turreted-territethrahepton E100(#^^#^7)^^#>#^^#100 \(f_{\varepsilon_{\varphi(7,0)+\varepsilon_0}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\varepsilon_0}}(100)\)
tethracross-turreted-territethrahepton E100(#^^#^7)^^#>#^^##100 \(f_{\varepsilon_{\varphi(7,0)+\zeta_0}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\zeta_0}}(100)\)
tethracubor-turreted-territethrahepton E100(#^^#^7)^^#>#^^###100 \(f_{\varepsilon_{\varphi(7,0)+\eta_0}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\eta_0}}(100)\)
tethrateron-turreted-territethrahepton E100(#^^#^7)^^#>#^^####100 \(f_{\varepsilon_{\varphi(7,0)+\varphi(4,0)}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\varphi(4,0)}}(100)\)
tethrapeton-turreted-territethrahepton E100(#^^#^7)^^#>#^^#^(5)100 \(f_{\varepsilon_{\varphi(7,0)+\varphi(5,0)}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\varphi(5,0)}}(100)\)
tethrahexon-turreted-territethrahepton E100(#^^#^7)^^#>#^^#^(6)100 \(f_{\varepsilon_{\varphi(7,0)+\varphi(6,0)}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\varphi(6,0)}}(100)\)
tethrahepton-turreted-territethrahepton E100(#^^#^7)^^#>#^^#^(7)100 \(f_{\varepsilon_{\varphi(7,0)+\varphi(7,0)}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\varphi(7,0)}}(100)\)
dustaculated-territethrahepton E100(#^^#^7)^^#>(#^^#^7)^^#100 \(f_{\varepsilon_{\varphi(7,0)+\varepsilon_{\varphi(7,0)+1}}}(100)\) \(H_{\varepsilon_{\varphi(7,0)+\varepsilon_{\varphi(7,0)+1}}}(100)\)
tristaculated-territethrahepton E100(#^^#^7)^^#>(#^^#^7)^^#>(#^^#^7)^^#100

= E100(#^^#^7)^^##3

\(f_{\varepsilon_{\varepsilon_{\varepsilon_{\varphi(7,0)+1}}}}(100)\) \(H_{\varepsilon_{\varepsilon_{\varepsilon_{\varphi(7,0)+1}}}}(100)\)
tetrastaculated-territethrahepton E100(#^^#^7)^^##4 \(f_{\zeta_{\varphi(7,0)+1}[4]}(100)\) \(H_{\zeta_{\varphi(7,0)+1}[4]}(100)\)
pentastaculated-territethrahepton E100(#^^#^7)^^##5 \(f_{\zeta_{\varphi(7,0)+1}[5]}(100)\) \(H_{\zeta_{\varphi(7,0)+1}[5]}(100)\)
hexastaculated-territethrahepton E100(#^^#^7)^^##6 \(f_{\zeta_{\varphi(6,0)+1}[6]}(100)\) \(H_{\zeta_{\varphi(6,0)+1}[6]}(100)\)
heptastaculated-territethrahepton E100(#^^#^7)^^##7 \(f_{\zeta_{\varphi(7,0)+1}[7]}(100)\) \(H_{\zeta_{\varphi(7,0)+1}[7]}(100)\)
ogdastaculated-territethrahepton E100(#^^#^7)^^##8 \(f_{\zeta_{\varphi(7,0)+1}[8]}(100)\) \(H_{\zeta_{\varphi(7,0)+1}[8]}(100)\)
ennastaculated-territethrahepton E100(#^^#^7)^^##9 \(f_{\zeta_{\varphi(7,0)+1}[9]}(100)\) \(H_{\zeta_{\varphi(7,0)+1}[9]}(100)\)
dekastaculated-territethrahepton E100(#^^#^7)^^##10 \(f_{\zeta_{\varphi(7,0)+1}[10]}(100)\) \(H_{\zeta_{\varphi(7,0)+1}[10]}(100)\)
terrisquared-tethrahepton E100(#^^#^7)^^##100 \(f_{\zeta_{\varphi(7,0)+1}}(100)\) \(H_{\zeta_{\varphi(7,0)+1}}(100)\)
two-ex-terrisquared-tethrahepton E100((#^^#^7)^^##)^^##100 \(f_{\zeta_{\varphi(7,0)+2}}(100)\) \(H_{\zeta_{\varphi(7,0)+2}}(100)\)
three-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>(3)100 \(f_{\zeta_{\varphi(7,0)+3}}(100)\) \(H_{\zeta_{\varphi(7,0)+3}}(100)\)
four-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>(4)100 \(f_{\zeta_{\varphi(7,0)+4}}(100)\) \(H_{\zeta_{\varphi(7,0)+4}}(100)\)
five-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>(5)100 \(f_{\zeta_{\varphi(7,0)+5}}(100)\) \(H_{\zeta_{\varphi(7,0)+5}}(100)\)
six-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>(6)100 \(f_{\zeta_{\varphi(7,0)+6}}(100)\) \(H_{\zeta_{\varphi(7,0)+6}}(100)\)
seven-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>(7)100 \(f_{\zeta_{\varphi(7,0)+7}}(100)\) \(H_{\zeta_{\varphi(7,0)+7}}(100)\)
eight-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>(8)100 \(f_{\zeta_{\varphi(7,0)+8}}(100)\) \(H_{\zeta_{\varphi(7,0)+8}}(100)\)
nine-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>(9)100 \(f_{\zeta_{\varphi(7,0)+9}}(100)\) \(H_{\zeta_{\varphi(7,0)+9}}(100)\)
ten-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>(10)100 \(f_{\zeta_{\varphi(7,0)+{10}}}(100)\) \(H_{\zeta_{\varphi(7,0)+{10}}}(100)\)
hundred-ex-terrisquared-tethrahepton E100(#^^#^7)^^##>#100 \(f_{\zeta_{\varphi(7,0)+\omega}}(100)\) \(H_{\zeta_{\varphi(7,0)+\omega}}(100)\)
godgahlah-turreted-terrisquared-tethrahepton E100(#^^#^7)^^##>#^#100 \(f_{\zeta_{\varphi(7,0)+\omega^\omega}}(100)\) \(H_{\zeta_{\varphi(7,0)+\omega^\omega}}(100)\)
tethrathoth-turreted-terrisquared-tethrahepton E100(#^^#^7)^^##>#^^#100 \(f_{\zeta_{\varphi(7,0)+\varepsilon_0}}(100)\) \(H_{\zeta_{\varphi(7,0)+\varepsilon_0}}(100)\)
tethracross-turreted-terrisquared-tethrahepton E100(#^^#^7)^^##>#^^##100 \(f_{\zeta_{\varphi(7,0)+\zeta_0}}(100)\) \(H_{\zeta_{\varphi(7,0)+\zeta_0}}(100)\)
tethracubor-turreted-terrisquared-tethrahepton E100(#^^#^7)^^##>#^^###100 \(f_{\zeta_{\varphi(7,0)+\eta_0}}(100)\) \(H_{\zeta_{\varphi(7,0)+\eta_0}}(100)\)
tethrateron-turreted-terrisquared-tethrahepton E100(#^^#^7)^^##>#^^####100 \(f_{\zeta_{\varphi(7,0)+\varphi(4,0)}}(100)\) \(H_{\zeta_{\varphi(7,0)+\varphi(4,0)}}(100)\)
tethrapeton-turreted-terrisquared-tethrahepton E100(#^^#^7)^^##>#^^#^(5)100 \(f_{\zeta_{\varphi(7,0)+\varphi(5,0)}}(100)\) \(H_{\zeta_{\varphi(7,0)+\varphi(5,0)}}(100)\)
tethrahexon-turreted-terrisquared-tethrahepton E100(#^^#^7)^^##>#^^#^(6)100 \(f_{\zeta_{\varphi(7,0)+\varphi(6,0)}}(100)\) \(H_{\zeta_{\varphi(7,0)+\varphi(6,0)}}(100)\)
tethrahepton-turreted-terrisquared-tethrahepton E100(#^^#^7)^^##>#^^#^(7)100 \(f_{\zeta_{\varphi(7,0)+\varphi(7,0)}}(100)\) \(H_{\zeta_{\varphi(7,0)+\varphi(7,0)}}(100)\)
dustaculated-terrisquared-tethrahepton E100(#^^#^7)^^##>(#^^#^7)^^##100 \(f_{\zeta_{\varphi(7,0)+\zeta_{\varphi(7,0)+1}}}(100)\) \(H_{\zeta_{\varphi(7,0)+\zeta_{\varphi(7,0)+1}}}(100)\)
tristaculated-terrisquared-tethrahepton E100(#^^#^7)^^##>(#^^#^7)^^##>(#^^#^7)^^##100

= E100(#^^#^7)^^###3

\(f_{\zeta_{\zeta_{\zeta_{\varphi(7,0)+1}}}}(100)\) \(H_{\zeta_{\zeta_{\zeta_{\varphi(7,0)+1}}}}(100)\)
tetrastaculated-terrisquared-tethrahepton E100(#^^#^7)^^###4 \(f_{\eta_{\varphi(7,0)+1}[4]}(100)\) \(H_{\eta_{\varphi(7,0)+1}[4]}(100)\)
pentastaculated-terrisquared-tethrahepton E100(#^^#^7)^^###5 \(f_{\eta_{\varphi(7,0)+1}[5]}(100)\) \(H_{\eta_{\varphi(7,0)+1}[5]}(100)\)
hexastaculated-terrisquared-tethrahepton E100(#^^#^7)^^###6 \(f_{\eta_{\varphi(7,0)+1}[6]}(100)\) \(H_{\eta_{\varphi(7,0)+1}[6]}(100)\)
heptastaculated-terrisquared-tethrahepton E100(#^^#^7)^^###7 \(f_{\eta_{\varphi(7,0)+1}[7]}(100)\) \(H_{\eta_{\varphi(7,0)+1}[7]}(100)\)
ogdastaculated-terrisquared-tethrahepton E100(#^^#^7)^^###8 \(f_{\eta_{\varphi(7,0)+1}[8]}(100)\) \(H_{\eta_{\varphi(7,0)+1}[8]}(100)\)
ennastaculated-terrisquared-tethrahepton E100(#^^#^7)^^###9 \(f_{\eta_{\varphi(7,0)+1}[9]}(100)\) \(H_{\eta_{\varphi(7,0)+1}[9]}(100)\)
dekastaculated-terrisquared-tethrahepton E100(#^^#^7)^^###10 \(f_{\eta_{\varphi(7,0)+1}[10]}(100)\) \(H_{\eta_{\varphi(7,0)+1}[10]}(100)\)
terricubed-tethrahepton E100(#^^#^7)^^###100 \(f_{\eta_{\varphi(7,0)+1}}(100)\) \(H_{\eta_{\varphi(7,0)+1}}(100)\)
two-ex-terricubed-tethrahepton E100((#^^#^7)^^###)^^###100 \(f_{\eta_{\varphi(7,0)+2}}(100)\) \(H_{\eta_{\varphi(7,0)+2}}(100)\)
three-ex-terricubed-tethrahepton E100(#^^#^7)^^###>(3)100 \(f_{\eta_{\varphi(7,0)+3}}(100)\) \(H_{\eta_{\varphi(7,0)+3}}(100)\)
four-ex-terricubed-tethrahepton E100(#^^#^7)^^###>(4)100 \(f_{\eta_{\varphi(7,0)+4}}(100)\) \(H_{\eta_{\varphi(7,0)+4}}(100)\)
five-ex-terricubed-tethrahepton E100(#^^#^7)^^###>(5)100 \(f_{\eta_{\varphi(7,0)+5}}(100)\) \(H_{\eta_{\varphi(7,0)+5}}(100)\)
six-ex-terricubed-tethrahepton E100(#^^#^7)^^###>(6)100 \(f_{\eta_{\varphi(7,0)+6}}(100)\) \(H_{\eta_{\varphi(7,0)+6}}(100)\)
seven-ex-terricubed-tethrahepton E100(#^^#^7)^^###>(7)100 \(f_{\eta_{\varphi(7,0)+7}}(100)\) \(H_{\eta_{\varphi(7,0)+7}}(100)\)
eight-ex-terricubed-tethrahepton E100(#^^#^7)^^###>(8)100 \(f_{\eta_{\varphi(7,0)+8}}(100)\) \(H_{\eta_{\varphi(7,0)+8}}(100)\)
nine-ex-terricubed-tethrahepton E100(#^^#^7)^^###>(9)100 \(f_{\eta_{\varphi(7,0)+9}}(100)\) \(H_{\eta_{\varphi(7,0)+9}}(100)\)
ten-ex-terricubed-tethrahepton E100(#^^#^7)^^###>(10)100 \(f_{\eta_{\varphi(7,0)+{10}}}(100)\) \(H_{\eta_{\varphi(7,0)+{10}}}(100)\)
hundred-ex-terricubed-tethrahepton E100(#^^#^7)^^###>#100 \(f_{\eta_{\varphi(7,0)+\omega}}(100)\) \(H_{\eta_{\varphi(7,0)+\omega}}(100)\)
godgahlah-turreted-terricubed-tethrahepton E100(#^^#^7)^^###>#^#100 \(f_{\eta_{\varphi(7,0)+\omega^\omega}}(100)\) \(H_{\eta_{\varphi(7,0)+\omega^\omega}}(100)\)
tethrathoth-turreted-terricubed-tethrahepton E100(#^^#^7)^^###>#^^#100 \(f_{\eta_{\varphi(7,0)+\varepsilon_0}}(100)\) \(H_{\eta_{\varphi(7,0)+\varepsilon_0}}(100)\)
tethracross-turreted-terricubed-tethrahepton E100(#^^#^7)^^###>#^^##100 \(f_{\eta_{\varphi(7,0)+\zeta_0}}(100)\) \(H_{\eta_{\varphi(7,0)+\zeta_0}}(100)\)
tethracubor-turreted-terricubed-tethrahepton E100(#^^#^7)^^###>#^^###100 \(f_{\eta_{\varphi(7,0)+\eta_0}}(100)\) \(H_{\eta_{\varphi(7,0)+\eta_0}}(100)\)
tethrateron-turreted-terricubed-tethrahepton E100(#^^#^7)^^###>#^^####100 \(f_{\eta_{\varphi(7,0)+\varphi(4,0)}}(100)\) \(H_{\eta_{\varphi(7,0)+\varphi(4,0)}}(100)\)
tethrapeton-turreted-terricubed-tethrahepton E100(#^^#^7)^^###>#^^#^(5)100 \(f_{\eta_{\varphi(7,0)+\varphi(5,0)}}(100)\) \(H_{\eta_{\varphi(7,0)+\varphi(5,0)}}(100)\)
tethrahexon-turreted-terricubed-tethrahepton E100(#^^#^7)^^###>#^^#^(6)100 \(f_{\eta_{\varphi(7,0)+\varphi(6,0)}}(100)\) \(H_{\eta_{\varphi(7,0)+\varphi(6,0)}}(100)\)
tethrahepton-turreted-terricubed-tethrahepton E100(#^^#^7)^^###>#^^#^(7)100 \(f_{\eta_{\varphi(7,0)+\varphi(7,0)}}(100)\) \(H_{\eta_{\varphi(7,0)+\varphi(7,0)}}(100)\)
dustaculated-terricubed-tethrahepton E100(#^^#^7)^^###>(#^^#^7)^^###100 \(f_{\eta_{\varphi(7,0)+\zeta_{\varphi(7,0)+1}}}(100)\) \(H_{\eta_{\varphi(7,0)+\zeta_{\varphi(7,0)+1}}}(100)\)
tristaculated-terricubed-tethrahepton E100(#^^#^7)^^###>(#^^#^7)^^###>(#^^#^7)^^###100

= E100(#^^#^7)^^####3

\(f_{\eta_{\eta_{\eta_{\varphi(7,0)+1}}}}(100)\) \(H_{\eta_{\eta_{\eta_{\varphi(7,0)+1}}}}(100)\)
tetrastaculated-terricubed-tethrahepton E100(#^^#^7)^^####4 \(f_{\varphi(4,\varphi(7,0)+1)[4]}(100)\) \(H_{\varphi(4,\varphi(7,0)+1)[4]}(100)\)
pentastaculated-terricubed-tethrahepton E100(#^^#^7)^^####5 \(f_{\varphi(4,\varphi(7,0)+1)[5]}(100)\) \(H_{\varphi(4,\varphi(7,0)+1)[5]}(100)\)
hexastaculated-terricubed-tethrahepton E100(#^^#^7)^^####6 \(f_{\varphi(4,\varphi(7,0)+1)[6]}(100)\) \(H_{\varphi(4,\varphi(7,0)+1)[6]}(100)\)
heptastaculated-terricubed-tethrahepton E100(#^^#^7)^^####7 \(f_{\varphi(4,\varphi(7,0)+1)[7]}(100)\) \(H_{\varphi(4,\varphi(7,0)+1)[7]}(100)\)
ogdastaculated-terricubed-tethrahepton E100(#^^#^7)^^####8 \(f_{\varphi(4,\varphi(7,0)+1)[8]}(100)\) \(H_{\varphi(4,\varphi(7,0)+1)[8]}(100)\)
ennastaculated-terricubed-tethrahepton E100(#^^#^7)^^####9 \(f_{\varphi(4,\varphi(7,0)+1)[9]}(100)\) \(H_{\varphi(4,\varphi(7,0)+1)[9]}(100)\)
dekastaculated-terricubed-tethrahepton E100(#^^#^7)^^####10 \(f_{\varphi(4,\varphi(7,0)+1)[10]}(100)\) \(H_{\varphi(4,\varphi(7,0)+1)[10]}(100)\)
territesserated-tethrahepton E100(#^^#^7)^^####100 \(f_{\varphi(4,\varphi(7,0)+1)}(100)\) \(H_{\varphi(4,\varphi(7,0)+1)}(100)\)
two-ex-territesserated-tethrahepton E100((#^^#^7)^^####)^^####100 \(f_{\varphi(4,\varphi(7,0)+2)}(100)\) \(H_{\varphi(4,\varphi(7,0)+2)}(100)\)
three-ex-territesserated-tethrahepton E100(#^^#^7)^^####>(3)100 \(f_{\varphi(4,\varphi(7,0)+3)}(100)\) \(H_{\varphi(4,\varphi(7,0)+3)}(100)\)
four-ex-territesserated-tethrahepton E100(#^^#^7)^^####>(4)100 \(f_{\varphi(4,\varphi(7,0)+4)}(100)\) \(H_{\varphi(4,\varphi(7,0)+4)}(100)\)
five-ex-territesserated-tethrahepton E100(#^^#^7)^^####>(5)100 \(f_{\varphi(4,\varphi(7,0)+5)}(100)\) \(H_{\varphi(4,\varphi(7,0)+5)}(100)\)
six-ex-territesserated-tethrahepton E100(#^^#^7)^^####>(6)100 \(f_{\varphi(4,\varphi(7,0)+6)}(100)\) \(H_{\varphi(4,\varphi(7,0)+6)}(100)\)
seven-ex-territesserated-tethrahepton E100(#^^#^7)^^####>(7)100 \(f_{\varphi(4,\varphi(7,0)+7)}(100)\) \(H_{\varphi(4,\varphi(7,0)+7)}(100)\)
eight-ex-territesserated-tethrahepton E100(#^^#^7)^^####>(8)100 \(f_{\varphi(4,\varphi(7,0)+8)}(100)\) \(H_{\varphi(4,\varphi(7,0)+8)}(100)\)
nine-ex-territesserated-tethrahepton E100(#^^#^7)^^####>(9)100 \(f_{\varphi(4,\varphi(7,0)+9)}(100)\) \(H_{\varphi(4,\varphi(7,0)+9)}(100)\)
ten-ex-territesserated-tethrahepton E100(#^^#^7)^^####>(10)100 \(f_{\varphi(4,\varphi(7,0)+{10})}(100)\) \(H_{\varphi(4,\varphi(7,0)+{10})}(100)\)
hundred-ex-territesserated-tethrahepton E100(#^^#^7)^^####>#100 \(f_{\varphi(4,\varphi(7,0)+{\omega})}(100)\) \(H_{\varphi(4,\varphi(7,0)+{\omega})}(100)\)
godgahlah-turreted-territesserated-tethrahepton E100(#^^#^7)^^####>#^#100 \(f_{\varphi(4,\varphi(7,0)+{\omega^\omega})}(100)\) \(H_{\varphi(4,\varphi(7,0)+{\omega^\omega})}(100)\)
tethrathoth-turreted-territesserated-tethrahepton E100(#^^#^7)^^####>#^^#100 \(f_{\varphi(4,\varphi(7,0)+\varepsilon_0)}(100)\) \(H_{\varphi(4,\varphi(7,0)+\varepsilon_0)}(100)\)
tethracross-turreted-territesserated-tethrahepton E100(#^^#^7)^^####>#^^##100 \(f_{\varphi(4,\varphi(7,0)+\zeta_0)}(100)\) \(H_{\varphi(4,\varphi(7,0)+\zeta_0)}(100)\)
tethracubor-turreted-territesserated-tethrahepton E100(#^^#^7)^^####>#^^###100 \(f_{\varphi(4,\varphi(7,0)+\eta_0)}(100)\) \(H_{\varphi(4,\varphi(7,0)+\eta_0)}(100)\)
tethrateron-turreted-territesserated-tethrahepton E100(#^^#^7)^^####>#^^####100 \(f_{\varphi(4,\varphi(7,0)+\varphi(4,0))}(100)\) \(H_{\varphi(4,\varphi(7,0)+\varphi(4,0))}(100)\)
tethrapeton-turreted-territesserated-tethrahepton E100(#^^#^7)^^####>(#^^#^5)100 \(f_{\varphi(4,\varphi(7,0)+\varphi(5,0))}(100)\) \(H_{\varphi(4,\varphi(7,0)+\varphi(5,0))}(100)\)
tethrahexon-turreted-territesserated-tethrahepton E100(#^^#^7)^^####>(#^^#^6)100 \(f_{\varphi(4,\varphi(7,0)+\varphi(6,0))}(100)\) \(H_{\varphi(4,\varphi(7,0)+\varphi(6,0))}(100)\)
tethrahepton-turreted-territesserated-tethrahepton E100(#^^#^7)^^####>(#^^#^7)100 \(f_{\varphi(4,\varphi(7,0)+\varphi(7,0))}(100)\) \(H_{\varphi(4,\varphi(7,0)+\varphi(7,0))}(100)\)
dustaculated-territesserated-tethrahepton E100(#^^#^7)^^####>(#^^#^7)^^####100 \(f_{\varphi(4,\varphi(4,\varphi(7,0)+1))}(100)\) \(H_{\varphi(4,\varphi(4,\varphi(7,0)+1))}(100)\)
tristaculated-territesserated-tethrahepton E100(#^^#^7)^^####>(#^^#^7)^^####>(#^^#^7)^^####100

= E100((#^^#^7)^^#^5)3

\(f_{\varphi(5,\varphi(7,0)+1)[3]}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)[3]}(100)\)
tetrastaculated-territesserated-tethrahepton E100((#^^#^7)^^#^5)4 \(f_{\varphi(5,\varphi(7,0)+1)[4]}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)[4]}(100)\)
pentastaculated-territesserated-tethrahepton E100((#^^#^7)^^#^5)5 \(f_{\varphi(5,\varphi(7,0)+1)[5]}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)[5]}(100)\)
hexastaculated-territesserated-tethrahepton E100((#^^#^7)^^#^5)6 \(f_{\varphi(5,\varphi(7,0)+1)[6]}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)[6]}(100)\)
heptastaculated-territesserated-tethrahepton E100((#^^#^7)^^#^5)7 \(f_{\varphi(5,\varphi(7,0)+1)[7]}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)[7]}(100)\)
ogdastaculated-territesserated-tethrahepton E100((#^^#^7)^^#^5)8 \(f_{\varphi(5,\varphi(7,0)+1)[8]}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)[8]}(100)\)
ennastaculated-territesserated-tethrahepton E100((#^^#^7)^^#^5)9 \(f_{\varphi(5,\varphi(7,0)+1)[9]}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)[9]}(100)\)
dekastaculated-territesserated-tethrahepton E100((#^^#^7)^^#^5)10 \(f_{\varphi(5,\varphi(7,0)+1)[10]}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)[10]}(100)\)
terripenterated-tethrahepton E100((#^^#^7)^^#^5)100 \(f_{\varphi(5,\varphi(7,0)+1)}(100)\) \(H_{\varphi(5,\varphi(7,0)+1)}(100)\)
two-ex-terripenterated-tethrahepton E100(((#^^#^7)^^#^5)^^#^5)100 \(f_{\varphi(5,\varphi(7,0)+2)}(100)\) \(H_{\varphi(5,\varphi(7,0)+2)}(100)\)
three-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(3)100 \(f_{\varphi(5,\varphi(7,0)+3)}(100)\) \(H_{\varphi(5,\varphi(7,0)+3)}(100)\)
four-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(4)100 \(f_{\varphi(5,\varphi(7,0)+4)}(100)\) \(H_{\varphi(5,\varphi(7,0)+4)}(100)\)
five-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(5)100 \(f_{\varphi(5,\varphi(7,0)+5)}(100)\) \(H_{\varphi(5,\varphi(7,0)+5)}(100)\)
six-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(6)100 \(f_{\varphi(5,\varphi(7,0)+6)}(100)\) \(H_{\varphi(5,\varphi(7,0)+6)}(100)\)
seven-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(7)100 \(f_{\varphi(5,\varphi(7,0)+7)}(100)\) \(H_{\varphi(5,\varphi(7,0)+7)}(100)\)
eight-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(8)100 \(f_{\varphi(5,\varphi(7,0)+8)}(100)\) \(H_{\varphi(5,\varphi(7,0)+8)}(100)\)
nine-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(9)100 \(f_{\varphi(4,\varphi(7,0)+9)}(100)\) \(H_{\varphi(4,\varphi(7,0)+9)}(100)\)
ten-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(10)100 \(f_{\varphi(5,\varphi(7,0)+{10})}(100)\) \(H_{\varphi(5,\varphi(7,0)+{10})}(100)\)
hundred-ex-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>#100 \(f_{\varphi(5,\varphi(7,0)+{\omega})}(100)\) \(H_{\varphi(5,\varphi(7,0)+{\omega})}(100)\)
godgahlah-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>#^#100 \(f_{\varphi(5,\varphi(7,0)+{\omega^\omega})}(100)\) \(H_{\varphi(5,\varphi(7,0)+{\omega^\omega})}(100)\)
tethrathoth-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>#^^#100 \(f_{\varphi(5,\varphi(7,0)+\varepsilon_0)}(100)\) \(H_{\varphi(5,\varphi(7,0)+\varepsilon_0)}(100)\)
tethracross-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>#^^##100 \(f_{\varphi(5,\varphi(7,0)+\zeta_0)}(100)\) \(H_{\varphi(5,\varphi(7,0)+\zeta_0)}(100)\)
tethracubor-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>#^^###100 \(f_{\varphi(5,\varphi(7,0)+\eta_0)}(100)\) \(H_{\varphi(5,\varphi(7,0)+\eta_0)}(100)\)
tethrateron-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>#^^####100 \(f_{\varphi(5,\varphi(7,0)+\varphi(4,0))}(100)\) \(H_{\varphi(5,\varphi(7,0)+\varphi(4,0))}(100)\)
tethrapeton-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(#^^#^5)100 \(f_{\varphi(5,\varphi(7,0)+\varphi(5,0))}(100)\) \(H_{\varphi(5,\varphi(7,0)+\varphi(5,0))}(100)\)
tethrahexon-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(#^^#^6)100 \(f_{\varphi(5,\varphi(7,0)+\varphi(6,0))}(100)\) \(H_{\varphi(5,\varphi(7,0)+\varphi(6,0))}(100)\)
tethrahepton-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(#^^#^7)100 \(f_{\varphi(5,\varphi(7,0)+\varphi(7,0))}(100)\) \(H_{\varphi(5,\varphi(7,0)+\varphi(7,0))}(100)\)
territethrahepton-turreted-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(#^^#^7)^^#100 \(f_{\varphi(5,\varphi(7,0)+{\varepsilon_{\varphi(7,0)+1}})}(100)\) \(H_{\varphi(5,\varphi(7,0)+{\varepsilon_{\varphi(7,0)+1}})}(100)\)
dustaculated-terripenterated-tethrahepton E100(#^^#^7)^^(#^5)>(#^^#^7)^^(#^5)100 \(f_{\varphi(5,\varphi(5,\varphi(7,0)+1))}(100)\) \(H_{\varphi(5,\varphi(5,\varphi(7,0)+1))}(100)\)
tristaculated-terripenterated-tethrahepton E100(#^^#^7)(#^5)>(#^^#^7)^^(#^5)>(#^^#^7)^^(#^5)100

= E100((#^^#^7)^^#^6)3

\(f_{\varphi(6,\varphi(7,0)+1)[3]}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)[3]}(100)\)
tetrastaculated-terripenterated-tethrahepton E100((#^^#^7)^^#^6)4 \(f_{\varphi(6,\varphi(7,0)+1)[4]}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)[4]}(100)\)
pentastaculated-terripenterated-tethrahepton E100((#^^#^7)^^#^6)5 \(f_{\varphi(6,\varphi(7,0)+1)[5]}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)[5]}(100)\)
hexastaculated-terripenterated-tethrahepton E100((#^^#^7)^^#^6)6 \(f_{\varphi(6,\varphi(7,0)+1)[6]}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)[6]}(100)\)
heptastaculated-terripenterated-tethrahepton E100((#^^#^7)^^#^6)7 \(f_{\varphi(6,\varphi(7,0)+1)[7]}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)[7]}(100)\)
ogdastaculated-terripenterated-tethrahepton E100((#^^#^7)^^#^6)8 \(f_{\varphi(6,\varphi(7,0)+1)[8]}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)[8]}(100)\)
ennastaculated-terripenterated-tethrahepton E100((#^^#^7)^^#^6)9 \(f_{\varphi(6,\varphi(7,0)+1)[9]}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)[9]}(100)\)
dekastaculated-terripenterated-tethrahepton E100((#^^#^7)^^#^6)10 \(f_{\varphi(6,\varphi(7,0)+1)[10]}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)[10]}(100)\)
terrihexerated-tethrahepton E100((#^^#^7)^^#^6)100 \(f_{\varphi(6,\varphi(7,0)+1)}(100)\) \(H_{\varphi(6,\varphi(7,0)+1)}(100)\)
terrible terrisquared-terricubed-territesserated-terripenterated-terrihexerated-tethrahepton E100((((((#^^#^7)^^#^6)^^#^5)^^####)^^###)^^##)^^#100
two-ex-terrihexerated-tethrahepton E100(((#^^#^7)^^#^6)^^#^6)100 \(f_{\varphi(6,\varphi(7,0)+2)}(100)\) \(H_{\varphi(6,\varphi(7,0)+2)}(100)\)
three-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(3)100 \(f_{\varphi(6,\varphi(7,0)+3)}(100)\) \(H_{\varphi(6,\varphi(7,0)+3)}(100)\)
four-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(4)100 \(f_{\varphi(6,\varphi(7,0)+4)}(100)\) \(H_{\varphi(6,\varphi(7,0)+4)}(100)\)
five-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(5)100 \(f_{\varphi(6,\varphi(7,0)+5)}(100)\) \(H_{\varphi(6,\varphi(7,0)+5)}(100)\)
six-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(6)100 \(f_{\varphi(6,\varphi(7,0)+6)}(100)\) \(H_{\varphi(6,\varphi(7,0)+6)}(100)\)
seven-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(7)100 \(f_{\varphi(6,\varphi(7,0)+7)}(100)\) \(H_{\varphi(6,\varphi(7,0)+7)}(100)\)
eight-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(8)100 \(f_{\varphi(6,\varphi(7,0)+8)}(100)\) \(H_{\varphi(6,\varphi(7,0)+8)}(100)\)
nine-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(9)100 \(f_{\varphi(6,\varphi(7,0)+9)}(100)\) \(H_{\varphi(6,\varphi(7,0)+9)}(100)\)
ten-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(10)100 \(f_{\varphi(6,\varphi(7,0)+{10})}(100)\) \(H_{\varphi(6,\varphi(7,0)+6)}(100)\)
hundred-ex-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>#100 \(f_{\varphi(6,\varphi(7,0)+\omega)}(100)\) \(H_{\varphi(6,\varphi(7,0)+\omega)}(100)\)
godgahlah-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>#^#100 \(f_{\varphi(6,\varphi(7,0)+{\omega^\omega})}(100)\) \(H_{\varphi(6,\varphi(7,0)+{\omega^\omega})}(100)\)
tethrathoth-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>#^^#100 \(f_{\varphi(6,\varphi(7,0)+\varepsilon_0)}(100)\) \(H_{\varphi(6,\varphi(7,0)+\varepsilon_0)}(100)\)
tethracross-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>#^^##100 \(f_{\varphi(6,\varphi(7,0)+\zeta_0)}(100)\) \(H_{\varphi(6,\varphi(7,0)+\zeta_0)}(100)\)
tethracubor-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>#^^###100 \(f_{\varphi(6,\varphi(7,0)+\eta_0)}(100)\) \(H_{\varphi(6,\varphi(7,0)+\eta_0)}(100)\)
tethrateron-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>#^^####100 \(f_{\varphi(5,\varphi(7,0)+\varphi(4,0))}(100)\) \(H_{\varphi(5,\varphi(7,0)+\varphi(4,0))}(100)\)
tethrapeton-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(#^^#^5)100 \(f_{\varphi(5,\varphi(7,0)+\varphi(5,0))}(100)\) \(H_{\varphi(5,\varphi(7,0)+\varphi(5,0))}(100)\)
tethrahexon-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(#^^#^6)100 \(f_{\varphi(6,\varphi(7,0)+\varphi(6,0))}(100)\) \(H_{\varphi(6,\varphi(7,0)+\varphi(6,0))}(100)\)
tethrahepton-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(#^^#^7)100 \(f_{\varphi(6,\varphi(7,0)+\varphi(7,0))}(100)\) \(H_{\varphi(6,\varphi(7,0)+\varphi(7,0))}(100)\)
territethrahepton-turreted-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(#^^#^7)^^#100 \(f_{\varphi(6,\varphi(7,0)+{\varepsilon_{\varphi(7,0)+1}})}(100)\) \(H_{\varphi(6,\varphi(7,0)+{\varepsilon_{\varphi(7,0)+1}})}(100)\)
dustaculated-terrihexerated-tethrahepton E100(#^^#^7)^^(#^6)>(#^^#^7)^^(#^6)100 \(f_{\varphi(6,\varphi(6,\varphi(7,0)+1))}(100)\) \(H_{\varphi(6,\varphi(6,\varphi(7,0)+1))}(100)\)
tristaculated-terrihexerated-tethrahepton E100(#^^#^7)(#^6)>(#^^#^7)^^(#^6)>(#^^#^7)^^(#^6)100

= E100((#^^#^7)^^#^7)3

\(f_{\varphi(7,1)[3]}(100)\) \(H_{\varphi(7,1)[3]}(100)\)
tetrastaculated-terrihexerated-tethrahepton E100((#^^#^7)^^#^7)4 \(f_{\varphi(7,1)[4]}(100)\) \(H_{\varphi(7,1)[4]}(100)\)
pentastaculated-terrihexerated-tethrahepton E100((#^^#^7)^^#^7)5 \(f_{\varphi(7,1)[5]}(100)\) \(H_{\varphi(7,1)[5]}(100)\)
hexastaculated-terrihexerated-tethrahepton E100((#^^#^7)^^#^7)6 \(f_{\varphi(7,1)[6]}(100)\) \(H_{\varphi(7,1)[6]}(100)\)
heptastaculated-terrihexerated-tethrahepton E100((#^^#^7)^^#^7)7 \(f_{\varphi(7,1)[7]}(100)\) \(H_{\varphi(7,1)[7]}(100)\)
ogdastaculated-terrihexerated-tethrahepton E100((#^^#^7)^^#^7)8 \(f_{\varphi(7,1)[8]}(100)\) \(H_{\varphi(7,1)[8]}(100)\)
ennastaculated-terrihexerated-tethrahepton E100((#^^#^7)^^#^7)9 \(f_{\varphi(7,1)[9]}(100)\) \(H_{\varphi(7,1)[9]}(100)\)
dekastaculated-terrihexerated-tethrahepton E100((#^^#^7)^^#^7)10 \(f_{\varphi(7,1)[10]}(100)\) \(H_{\varphi(7,1)[10]}(100)\)
tethraduhepton E100((#^^#^7)^^#^7)100 \(f_{\varphi(7,1)}(100)\) \(H_{\varphi(7,1)}(100)\)
tethratrihepton E100(((#^^#^7)^^#^7)^^#^7)100 \(f_{\varphi(7,2)}(100)\) \(H_{\varphi(7,2)}(100)\)
tethratetrahepton E100((((#^^#^7)^^#^7)^^#^7)^^#^7)100 \(f_{\varphi(7,3)}(100)\) \(H_{\varphi(7,3)}(100)\)
tethrapentahepton E100#^^(#^7)>#5 \(f_{\varphi(7,4)}(100)\) \(H_{\varphi(7,4)}(100)\)
tethrahexahepton E100#^^(#^7)>#6 \(f_{\varphi(7,5)}(100)\) \(H_{\varphi(7,5)}(100)\)
tethraheptahepton E100#^^(#^7)>#7 \(f_{\varphi(7,6)}(100)\) \(H_{\varphi(7,6)}(100)\)
tethra-octahepton E100#^^(#^7)>#8 \(f_{\varphi(7,7)}(100)\) \(H_{\varphi(7,7)}(100)\)
tethra-ennahepton E100#^^(#^7)>#9 \(f_{\varphi(7,8)}(100)\) \(H_{\varphi(7,8)}(100)\)
tethradekahepton E100#^^(#^7)>#10 \(f_{\varphi(7,9)}(100)\) \(H_{\varphi(7,9)}(100)\)
tethra-endekahepton E100#^^(#^7)>#11 \(f_{\varphi(7,10)}(100)\) \(H_{\varphi(7,10)}(100)\)
tethradodekahepton E100#^^(#^7)>#12 \(f_{\varphi(7,11)}(100)\) \(H_{\varphi(7,11)}(100)\)
tethra-icosahepton E100#^^(#^7)>#20 \(f_{\varphi(7,19)}(100)\) \(H_{\varphi(7,19)}(100)\)
tethriterhepton E100#^^(#^7)>#100 \(f_{\varphi(7,\omega)}(100)\) \(H_{\varphi(7,\omega)}(100)\)
godgahlah-turreted-tethrahepton E100#^^(#^7)>#^#100 \(f_{\varphi(7,\omega^\omega)}(100)\) \(H_{\varphi(7,\omega^\omega)}(100)\)
tethrathoth-turreted-tethrahepton E100#^^(#^7)>#^^#100 \(f_{\varphi(7,\varepsilon_0)}(100)\) \(H_{\varphi(7,\varepsilon_0)}(100)\)
tethracross-turreted-tethrahepton E100#^^(#^7)>#^^##100 \(f_{\varphi(7,\zeta_0)}(100)\) \(H_{\varphi(7,\zeta_0)}(100)\)
tethracubor-turreted-tethrahepton E100#^^(#^7)>#^^###100 \(f_{\varphi(7,\eta_0)}(100)\) \(H_{\varphi(7,\eta_0)}(100)\)
tethrateron-turreted-tethrahepton E100#^^(#^7)>#^^####100 \(f_{\varphi(7,\varphi(4,0))}(100)\) \(H_{\varphi(7,\varphi(4,0))}(100)\)
tethrapeton-turreted-tethrahepton E100#^^(#^7)>#^^(#^5)100 \(f_{\varphi(7,\varphi(5,0))}(100)\) \(H_{\varphi(7,\varphi(5,0))}(100)\)
tethrahexon-turreted-tethrahepton E100#^^(#^7)>#^^(#^6)100 \(f_{\varphi(7,\varphi(6,0))}(100)\) \(H_{\varphi(7,\varphi(6,0))}(100)\)
tethrahepton-turreted-tethrahepton, dustaculated-tethrahepton E100#^^(#^7)>#^^(#^7)100 \(f_{\varphi(7,\varphi(7,0))}(100)\) \(H_{\varphi(7,\varphi(7,0))}(100)\)
tristaculated-tethrahepton E100#^^(#^7)>#^^(#^7)>#^^(#^7)100 \(f_{\varphi(7,\varphi(7,\varphi(7,0)))}(100)\) \(H_{\varphi(7,\varphi(7,\varphi(7,0)))}(100)\)
tetrastaculated-tethrahepton E100#^^(#^7)>#^^(#^7)>#^^(#^7)>#^^(#^7)100

= E100#^^(#^8)4

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

Etymology Edit

Parts of names Meaning
tethra ^^ (tetration)
du 2
tri 3
tetra 4
penta 5
hexa 6
hepta 7
ogda 8
enna 9
deka 10
icosa 20
trianta 30
saranta 40
peninta 50
exinta 60
ebdominta 70
ogdonta 80
eneninta 90

Some names of the numbers of this regiment are based on names of other Saibian's numbers, such as:

Sources Edit

  1. Sbiis Saibian, Extended Cascading-E Numbers Part II - 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

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