The hexaelgathor regiment is a series of numbers from E100(#^#^#^6)100 to E100(#^#^#^7)90 defined using Cascading-E notation (i.e. beginning from hexaelgathor and up to hexaelgathornonagintice).[1] The numbers were coined by Sbiis Saibian.
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Pentaelgathor regiment | Heptaelgathor regiment |
List of numbers of the regiment[]
Name of number | Cascading-E notation (definition) | Fast-growing hierarchy (approximation) |
Hexaelgathor | E100#^#^######100 = E100(#^#^#^6)100 | \(f_{\omega^{\omega^{\omega^6}}}(100)\) |
Grand hexaelgathor | E100(#^#^#^6)hexaelgathor | \(f_{\omega^{\omega^{\omega^6}}}^2(100)\) |
Grangol-carta-hexaelgathor | E100(#^#^#^6)100#100 | \(f_{\omega^{\omega^{\omega^6}}+1}(100)\) |
Godgahlah-carta-hexaelgathor | E100(#^#^#^6)100#^#100 | \(f_{\omega^{\omega^{\omega^6}}+\omega^\omega}(100)\) |
Godgathor-carta-hexaelgathor | E100(#^#^#^6)100#^#^#100 | \(f_{\omega^{\omega^{\omega^6}}+\omega^{\omega^\omega}}(100)\) |
Gralgathor-carta-hexaelgathor | E100(#^#^#^6)100#^#^##100 | \(f_{\omega^{\omega^{\omega^6}}+\omega^{\omega^{\omega^2}}}(100)\) |
Thraelgathor-carta-hexaelgathor | E100(#^#^#^6)100#^#^###100 | \(f_{\omega^{\omega^{\omega^6}}+\omega^{\omega^{\omega^3}}}(100)\) |
Terinngathor-carta-hexaelgathor | E100(#^#^#^6)100#^#^####100 | \(f_{\omega^{\omega^{\omega^6}}+\omega^{\omega^{\omega^4}}}(100)\) |
Pentaelgathor-carta-hexaelgathor | E100(#^#^#^6)100(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^6}}+\omega^{\omega^{\omega^5}}}(100)\) |
Hexaeltrigathor | E100(#^#^#^6)100(#^#^#^6)100 | \(f_{\omega^{\omega^{\omega^6}}2}(100)\) |
Hexaeltergathor | E100(#^#^#^6)100(#^#^#^6)100(#^#^#^6)100 = E100(#^#^#^6)*#4 | \(f_{\omega^{\omega^{\omega^6}}3}(100)\) |
Hexaelpeggathor | E100(#^#^#^6)*#5 | \(f_{\omega^{\omega^{\omega^6}}4}(100)\) |
Hexaelhexgathor | E100(#^#^#^6)*#6 | \(f_{\omega^{\omega^{\omega^6}}5}(100)\) |
Hexaelhepgathor | E100(#^#^#^6)*#7 | \(f_{\omega^{\omega^{\omega^6}}6}(100)\) |
Hexael-ahtgathor | E100(#^#^#^6)*#8 | \(f_{\omega^{\omega^{\omega^6}}7}(100)\) |
Hexael-enngathor | E100(#^#^#^6)*#9 | \(f_{\omega^{\omega^{\omega^6}}8}(100)\) |
Hexaeldekagathor | E100(#^#^#^6)*#10 | \(f_{\omega^{\omega^{\omega^6}}9}(100)\) |
Hexaelgathor-by-hyperion | E100(#^#^#^6)*#100 | \(f_{\omega^{\omega^{\omega^6}+1}}(100)\) |
Hexaelgathor-by-godgahlah | E100(#^#^#^6)*#^#100 | \(f_{\omega^{\omega^{\omega^6}+\omega}}(100)\) |
Hexaelgathor-by-godgathor | E100(#^#^#^6)*#^#^#100 | \(f_{\omega^{\omega^{\omega^6}+\omega^\omega}}(100)\) |
Hexaelgathor-by-gralgathor | E100(#^#^#^6)*#^#^##100 | \(f_{\omega^{\omega^{\omega^6}+\omega^{\omega^2}}}(100)\) |
Hexaelgathor-by-thraelgathor | E100(#^#^#^6)*#^#^###100 | \(f_{\omega^{\omega^{\omega^6}+\omega^{\omega^3}}}(100)\) |
Hexaelgathor-by-terinngathor | E100(#^#^#^6)*#^#^####100 | \(f_{\omega^{\omega^{\omega^6}+\omega^{\omega^4}}}(100)\) |
Hexaelgathor-by-pentaelgathor | E100(#^#^#^6)*(#^#^#^5)100 | \(f_{\omega^{\omega^{\omega^6}+\omega^{\omega^5}}}(100)\) |
Deutero-hexaelgathor | E100(#^#^#^6)*(#^#^#^6)100 | \(f_{\omega^{\omega^{\omega^6}2}}(100)\) |
Trito-hexaelgathor | E100(#^#^#^6)*(#^#^#^6)*(#^#^#^6)100 | \(f_{\omega^{\omega^{\omega^6}3}}(100)\) |
Teterto-hexaelgathor | E100(#^#^#^6)*(#^#^#^6)*(#^#^#^6)*(#^#^#^6)100 = E100#^(#^#^6*#)4 | \(f_{\omega^{\omega^{\omega^6}4}}(100)\) |
Pepto-hexaelgathor | E100#^(#^#^6*#)5 | \(f_{\omega^{\omega^{\omega^6}5}}(100)\) |
Exto-hexaelgathor | E100#^(#^#^6*#)6 | \(f_{\omega^{\omega^{\omega^6}6}}(100)\) |
Epto-hexaelgathor | E100#^(#^#^6*#)7 | \(f_{\omega^{\omega^{\omega^6}7}}(100)\) |
Ogdo-hexaelgathor | E100#^(#^#^6*#)8 | \(f_{\omega^{\omega^{\omega^6}8}}(100)\) |
Ento-hexaelgathor | E100#^(#^#^6*#)9 | \(f_{\omega^{\omega^{\omega^6}9}}(100)\) |
Dekato-hexaelgathor | E100#^(#^#^6*#)10 | \(f_{\omega^{\omega^{\omega^6}10}}(100)\) |
Isosto-hexaelgathor | E100#^(#^#^6*#)20 | \(f_{\omega^{\omega^{\omega^6}20}}(100)\) |
Trianto-hexaelgathor | E100#^(#^#^6*#)30 | \(f_{\omega^{\omega^{\omega^6}30}}(100)\) |
Saranto-hexaelgathor | E100#^(#^#^6*#)40 | \(f_{\omega^{\omega^{\omega^6}40}}(100)\) |
Peninto-hexaelgathor | E100#^(#^#^6*#)50 | \(f_{\omega^{\omega^{\omega^6}50}}(100)\) |
Exinto-hexaelgathor | E100#^(#^#^6*#)60 | \(f_{\omega^{\omega^{\omega^6}60}}(100)\) |
Ebdominto-hexaelgathor | E100#^(#^#^6*#)70 | \(f_{\omega^{\omega^{\omega^6}70}}(100)\) |
Ogdonto-hexaelgathor | E100#^(#^#^6*#)80 | \(f_{\omega^{\omega^{\omega^6}80}}(100)\) |
Eneninto-hexaelgathor | E100#^(#^#^6*#)90 | \(f_{\omega^{\omega^{\omega^6}90}}(100)\) |
Hecato-hexaelgathor | E100#^(#^#^6*#)100 | \(f_{\omega^{\omega^{\omega^6+1}}}(100)\) |
Hexaelgridgathor | E100#^(#^#^6*##)100 | \(f_{\omega^{\omega^{\omega^6+2}}}(100)\) |
Hexaelkubikgathor | E100#^(#^#^6*###)100 | \(f_{\omega^{\omega^{\omega^6+3}}}(100)\) |
Hexaelquarticgathor | E100#^(#^#^6*####)100 | \(f_{\omega^{\omega^{\omega^6+4}}}(100)\) |
Hexaelgodgathgathor | E100#^(#^#^6*#^#)100 | \(f_{\omega^{\omega^{\omega^6+\omega}}}(100)\) |
Hexaelgralgathgathor | E100#^(#^#^6*#^##)100 | \(f_{\omega^{\omega^{\omega^6+\omega^2}}}(100)\) |
Hexaelthraelgathgathor | E100#^(#^#^6*#^###)100 | \(f_{\omega^{\omega^{\omega^6+\omega^3}}}(100)\) |
Hexaelterinngathgathor | E100#^(#^#^6*#^####)100 | \(f_{\omega^{\omega^{\omega^6+\omega^4}}}(100)\) |
Hexaelpentaelgathgathor | E100#^(#^#^6*#^#^5)100 | \(f_{\omega^{\omega^{\omega^6+\omega^5}}}(100)\) |
Hexaelgathordeus | E100#^(#^#^6*#^#^6)100 | \(f_{\omega^{\omega^{\omega^62}}}(100)\) |
Hexaelgathortruce | E100#^(#^#^6*#^#^6*#^#^6)100 | \(f_{\omega^{\omega^{\omega^63}}}(100)\) |
Hexaelgathorquad | E100#^(#^#^6*#^#^6*#^#^6*#^#^6)100 = E100(#^#^#^7)4 | \(f_{\omega^{\omega^{\omega^64}}}(100)\) |
Hexaelgathorquid | E100(#^#^#^7)5 | \(f_{\omega^{\omega^{\omega^65}}}(100)\) |
Hexaelgathorsid | E100(#^#^#^7)6 | \(f_{\omega^{\omega^{\omega^66}}}(100)\) |
Hexaelgathorseptuce | E100(#^#^#^7)7 | \(f_{\omega^{\omega^{\omega^67}}}(100)\) |
Hexaelgathoroctuce | E100(#^#^#^7)8 | \(f_{\omega^{\omega^{\omega^68}}}(100)\) |
Hexaelgathornonice | E100(#^#^#^7)9 | \(f_{\omega^{\omega^{\omega^69}}}(100)\) |
Hexaelgathordecice | E100(#^#^#^7)10 | \(f_{\omega^{\omega^{\omega^610}}}(100)\) |
Hexaelgathorvigintice | E100(#^#^#^7)20 | \(f_{\omega^{\omega^{\omega^620}}}(100)\) |
Hexaelgathortrigintice | E100(#^#^#^7)30 | \(f_{\omega^{\omega^{\omega^630}}}(100)\) |
Hexaelgathorquadragintice | E100(#^#^#^7)40 | \(f_{\omega^{\omega^{\omega^640}}}(100)\) |
Hexaelgathorquinquagintice | E100(#^#^#^7)50 | \(f_{\omega^{\omega^{\omega^650}}}(100)\) |
Hexaelgathorsexagintice | E100(#^#^#^7)60 | \(f_{\omega^{\omega^{\omega^660}}}(100)\) |
Hexaelgathorseptuagintice | E100(#^#^#^7)70 | \(f_{\omega^{\omega^{\omega^670}}}(100)\) |
Hexaelgathoroctogintice | E100(#^#^#^7)80 | \(f_{\omega^{\omega^{\omega^680}}}(100)\) |
Hexaelgathornonagintice | E100(#^#^#^7)90 | \(f_{\omega^{\omega^{\omega^690}}}(100)\) |
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