The octaelgathor regiment is a series of numbers from E100(#^#^#^8)100 to E100(#^#^#^9)90 defined using Cascading-E notation (i.e. beginning from octaelgathor and up to octaelgathornonagintice).[1] The numbers were coined by Sbiis Saibian.
Previous regiment | Next regiment |
Heptaelgathor regiment | Ennaelgathor regiment |
List of numbers of the regiment[]
Name of number | Cascading-E notation (definition) | Fast-growing hierarchy (approximation) |
octaelgathor | E100(#^#^#^8)100 | \(f_{\omega^{\omega^{\omega^8}}}(100)\) |
grand octaelgathor | E100(#^#^#^8)100#2 | \(f_{\omega^{\omega^{\omega^8}}}^2(100)\) |
grangol-carta-octaelgathor | E100(#^#^#^8)100#100 | \(f_{\omega^{\omega^{\omega^8}}+1}(100)\) |
godgahlah-carta-octaelgathor | E100(#^#^#^8)100#^#100 | \(f_{\omega^{\omega^{\omega^8}}+\omega^{\omega}}(100)\) |
godgathor-carta-octaelgathor | E100(#^#^#^8)100#^#^#100 | \(f_{\omega^{\omega^{\omega^8}}+\omega^{\omega^\omega}}(100)\) |
gralgathor-carta-octaelgathor | E100(#^#^#^8)100#^#^##100 | \(f_{\omega^{\omega^{\omega^8}}+\omega^{\omega^{\omega^2}}}(100)\) |
thraelgathor-carta-octaelgathor | E100(#^#^#^8)100#^#^###100 | \(f_{\omega^{\omega^{\omega^8}}+\omega^{\omega^{\omega^3}}}(100)\) |
terinngathor-carta-octaelgathor | E100(#^#^#^8)100#^#^####100 | \(f_{\omega^{\omega^{\omega^8}}+\omega^{\omega^{\omega^4}}}(100)\) |
pentaelgathor-carta-octaelgathor | E100(#^#^#^8)100(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^8}}+\omega^{\omega^{\omega^5}}}(100)\) |
hexaelgathor-carta-octaelgathor | E100(#^#^#^8)100(#^#^#^6)100 | \(f_{\omega^{\omega^{\omega^8}}+\omega^{\omega^{\omega^6}}}(100)\) |
heptaelgathor-carta-octaelgathor | E100(#^#^#^8)100(#^#^#^7)100 | \(f_{\omega^{\omega^{\omega^8}}+\omega^{\omega^{\omega^7}}}(100)\) |
octaeltrigathor | E100(#^#^#^8)100(#^#^#^8)100 | \(f_{\omega^{\omega^{\omega^8}}2}(100)\) |
octaeltergathor | E100(#^#^#^8)*#4 | \(f_{\omega^{\omega^{\omega^8}}3}(100)\) |
octaelpeggathor | E100(#^#^#^8)*#5 | \(f_{\omega^{\omega^{\omega^8}}4}(100)\) |
octaelhexgathor | E100(#^#^#^8)*#6 | \(f_{\omega^{\omega^{\omega^8}}5}(100)\) |
octaelhepgathor | E100(#^#^#^8)*#7 | \(f_{\omega^{\omega^{\omega^8}}6}(100)\) |
octael-ahtgathor | E100(#^#^#^8)*#8 | \(f_{\omega^{\omega^{\omega^8}}7}(100)\) |
octael-enngathor | E100(#^#^#^8)*#9 | \(f_{\omega^{\omega^{\omega^8}}8}(100)\) |
octaeldekagathor | E100(#^#^#^8)*#10 | \(f_{\omega^{\omega^{\omega^8}}9}(100)\) |
octaelgathor-by-hyperion | E100(#^#^#^8)*#100 | \(f_{\omega^{\omega^{\omega^8}+1}}(100)\) |
octaelgathor-by-godgahlah | E100(#^#^#^8)*#^#100 | \(f_{\omega^{\omega^{\omega^8}+\omega}}(100)\) |
octaelgathor-by-godgathor | E100(#^#^#^8)*#^#^#100 | \(f_{\omega^{\omega^{\omega^8}+\omega^{\omega}}}(100)\) |
octaelgathor-by-gralgathor | E100(#^#^#^8)*#^#^##10 | \(f_{\omega^{\omega^{\omega^8}+\omega^{\omega^2}}}(100)\) |
octaelgathor-by-thraelgathor | E100(#^#^#^8)*#^#^###100 | \(f_{\omega^{\omega^{\omega^8}+\omega^{\omega^3}}}(100)\) |
octaelgathor-by-terinngathor | E100(#^#^#^8)*#^#^####100 | \(f_{\omega^{\omega^{\omega^8}+\omega^{\omega^4}}}(100)\) |
octaelgathor-by-pentaelgathor | E100(#^#^#^8)*(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^8}+\omega^{\omega^5}}}(100)\) |
octaelgathor-by-hexaelgathor | E100(#^#^#^8)*(#^#^#^6)100 | \(f_{\omega^{\omega^{\omega^8}+\omega^{\omega^6}}}(100)\) |
octaelgathor-by-heptaelgathor | E100(#^#^#^8)*(#^#^#^7)100 | \(f_{\omega^{\omega^{\omega^8}+\omega^{\omega^7}}}(100)\) |
deutero-octaelgathor | E100(#^#^#^8)*(#^#^#^8)100 | \(f_{\omega^{\omega^{\omega^8}2}}(100)\) |
trito-octaelgathor | E100(#^#^#^8)*(#^#^#^8)*(#^#^#^8)100 | \(f_{\omega^{\omega^{\omega^8}3}}(100)\) |
teterto-octaelgathor | E100#^(#^#^8*#)4 | \(f_{\omega^{\omega^{\omega^8}4}}(100)\) |
pepto-octaelgathor | E100#^(#^#^8*#)5 | \(f_{\omega^{\omega^{\omega^8}5}}(100)\) |
exto-octaelgathor | E100#^(#^#^8*#)6 | \(f_{\omega^{\omega^{\omega^8}6}}(100)\) |
epto-octaelgathor | E100#^(#^#^8*#)7 | \(f_{\omega^{\omega^{\omega^8}7}}(100)\) |
ogdo-octaelgathor | E100#^(#^#^8*#)8 | \(f_{\omega^{\omega^{\omega^8}8}}(100)\) |
ento-octaelgathor | E100#^(#^#^8*#)9 | \(f_{\omega^{\omega^{\omega^8}9}}(100)\) |
dekato-octaelgathor | E100#^(#^#^8*#)10 | \(f_{\omega^{\omega^{\omega^8}10}}(100)\) |
isosto-octaelgathor | E100#^(#^#^8*#)20 | \(f_{\omega^{\omega^{\omega^8}20}}(100)\) |
trianto-octaelgathor | E100#^(#^#^8*#)30 | \(f_{\omega^{\omega^{\omega^8}30}}(100)\) |
saranto-octaelgathor | E100#^(#^#^8*#)40 | \(f_{\omega^{\omega^{\omega^8}40}}(100)\) |
peninto-octaelgathor | E100#^(#^#^8*#)50 | \(f_{\omega^{\omega^{\omega^8}50}}(100)\) |
exinto-octaelgathor | E100#^(#^#^8*#)60 | \(f_{\omega^{\omega^{\omega^8}60}}(100)\) |
ebdominto-octaelgathor | E100#^(#^#^8*#)70 | \(f_{\omega^{\omega^{\omega^8}70}}(100)\) |
ogdonto-octaelgathor | E100#^(#^#^8*#)80 | \(f_{\omega^{\omega^{\omega^8}80}}(100)\) |
eneninto-octaelgathor | E100#^(#^#^8*#)90 | \(f_{\omega^{\omega^{\omega^8}90}}(100)\) |
hecato-octaelgathor | E100#^(#^#^8*#)100 | \(f_{\omega^{\omega^{\omega^8+1}}}(100)\) |
octaelgridgathor | E100#^(#^#^8*##)100 | \(f_{\omega^{\omega^{\omega^8+2}}}(100)\) |
octaelkubikgathor | E100#^(#^#^8*###)100 | \(f_{\omega^{\omega^{\omega^8+3}}}(100)\) |
octaelquarticgathor | E100#^(#^#^8*####)100 | \(f_{\omega^{\omega^{\omega^8+4}}}(100)\) |
octaelgodgathgathor | E100#^(#^#^8*#^#)100 | \(f_{\omega^{\omega^{\omega^8+\omega}}}(100)\) |
octaelgralgathgathor | E100#^(#^#^8*#^##)100 | \(f_{\omega^{\omega^{\omega^8+\omega^2}}}(100)\) |
octaelthraelgathgathor | E100#^(#^#^8*#^###)100 | \(f_{\omega^{\omega^{\omega^8+\omega^3}}}(100)\) |
octaelterinngathgathor | E100#^(#^#^8*#^####)100 | \(f_{\omega^{\omega^{\omega^8+\omega^4}}}(100)\) |
octaelpentaelgathgathor | E100#^(#^#^8*#^#^5)100 | \(f_{\omega^{\omega^{\omega^8+\omega^5}}}(100)\) |
octaelhexaelgathgathor | E100#^(#^#^8*#^#^6)100 | \(f_{\omega^{\omega^{\omega^8+\omega^6}}}(100)\) |
octaelheptaelgathgathor | E100#^(#^#^8*#^#^7)100 | \(f_{\omega^{\omega^{\omega^8+\omega^7}}}(100)\) |
octaelgathordeus | E100#^(#^#^8*#^#^8)100 | \(f_{\omega^{\omega^{\omega^82}}}(100)\) |
octaelgathortruce | E100#^(#^#^8*#^#^8*#^#^8)100 | \(f_{\omega^{\omega^{\omega^83}}}(100)\) |
octaelgathorquad | E100(#^#^#^9)4 | \(f_{\omega^{\omega^{\omega^84}}}(100)\) |
octaelgathorquid | E100(#^#^#^9)5 | \(f_{\omega^{\omega^{\omega^85}}}(100)\) |
octaelgathorsid | E100(#^#^#^9)6 | \(f_{\omega^{\omega^{\omega^86}}}(100)\) |
octaelgathorseptuce | E100(#^#^#^9)7 | \(f_{\omega^{\omega^{\omega^87}}}(100)\) |
octaelgathoroctuce | E100(#^#^#^9)8 | \(f_{\omega^{\omega^{\omega^88}}}(100)\) |
octaelgathornonice | E100(#^#^#^9)9 | \(f_{\omega^{\omega^{\omega^89}}}(100)\) |
octaelgathordecice | E100(#^#^#^9)10 | \(f_{\omega^{\omega^{\omega^810}}}(100)\) |
octaelgathorvigintice | E100(#^#^#^9)20 | \(f_{\omega^{\omega^{\omega^820}}}(100)\) |
octaelgathortrigintice | E100(#^#^#^9)30 | \(f_{\omega^{\omega^{\omega^830}}}(100)\) |
octaelgathorquadragintice | E100(#^#^#^9)40 | \(f_{\omega^{\omega^{\omega^840}}}(100)\) |
octaelgathorquinquagintice | E100(#^#^#^9)50 | \(f_{\omega^{\omega^{\omega^850}}}(100)\) |
octaelgathorsexagintice | E100(#^#^#^9)60 | \(f_{\omega^{\omega^{\omega^860}}}(100)\) |
octaelgathorseptuagintice | E100(#^#^#^9)70 | \(f_{\omega^{\omega^{\omega^870}}}(100)\) |
octaelgathoroctogintice | E100(#^#^#^9)80 | \(f_{\omega^{\omega^{\omega^880}}}(100)\) |
octaelgathornonagintice | E100(#^#^#^9)90 | \(f_{\omega^{\omega^{\omega^890}}}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. Cascading-E Numbers. Retrieved 2017-10-13.
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
Redstonepillager's extensions: Extended Gridgahlah regiment · Tethratopothoth regiment · Godsgodgulus regiment · Blasphemorgulus regiment · Blasphemordeugulus regiment · Ominongulus regiment