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The gugold regiment is a series of numbers from E100##100 to E100,000##100,000#3 defined using Extended Hyper-E Notation (i.e. beginning from gugold and up to gugolda-dusuplexigong)..[1][2] The numbers were coined by Sbiis Saibian.

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Googondol regiment Graatagold regiment

List of numbers of the regiment[]

Name of number Extended Hyper-E Notation (definition) Fast-growing hierarchy (approximation)
Gugold E100#100#100#100# ...

...#100#100#100#100 (w/100 100s) = E100##100

\(f_{\omega}(100)\)
Googolsuplex E100##1#2 \(f_{\omega}(10^{100})\)
Googolsuplexigong E100,000##1#2 \(f_{\omega}(10^{100,000})\)
Googolplexisuplex E100##(E100#2) \(f_{\omega}(10^{10^{100}})\)
Googolduplexisuplex E100##(E100#3) \(f_{\omega}(10^{10^{10^{100}}})\)
Googoltriplexisuplex E100##(E100#4) \(f_{\omega}(10^{10^{10^{10^{100}}}})\)
Grangolsuplex E100##2#2 \(f_{\omega}(f_3(100))\)
Googoldexisuplex E100##(E100#1#2) \(f_{\omega}(f_3(10^{100}))\)
Grangoldexisuplex E100##(E100#100#2) \(f_{\omega}(f_3(f_3(100)))\)
Grangoldudexisuplex E100##(E100#100#3) \(f_{\omega}(f_3(f_3(f_3(100))))\)
Greagolsuplex E100##3#2 \(f_{\omega}(f_4(100))\)
Gigangolsuplex E100##4#2 \(f_{\omega}(f_5(100))\)
Gorgegolsuplex E100##5#2 \(f_{\omega}(f_6(100))\)
Gugolda-suplex E100#100#100# ...

...#100#100#100 (w/gugold 100s) = E100##100#2

\(f_{\omega}^2(100)\)
Gugolda-dusuplex E100#100# ...

...#100#100 (w/gugolda-suplex 100s) = E100##100#3

\(f_{\omega}^3(100)\)
Gugoldachime E1,000##1,000 \(f_{\omega}(1,000)\)
Gugolda-suplexichime E1,000##1,000#2 \(f_{\omega}^2(1,000)\)
Gugolda-dusuplexichime E1,000##1,000#3 \(f_{\omega}^3(1,000)\)
Gugoldatoll E10,000##10,000 \(f_{\omega}(10,000)\)
Gugolda-suplexitoll E10,000##10,000#2 \(f_{\omega}^2(10,000)\)
Gugolda-dusuplexitoll E10,000##10,000#3 \(f_{\omega}^3(10,000)\)
Gugoldagong E100,000##100,000 \(f_{\omega}(100,000)\)
Gugolda-suplexigong E100,000##100,000#2 \(f_{\omega}^2(100,000)\)
Gugolda-dusuplexigong E100,000##100,000#3 \(f_{\omega}^3(100,000)\)

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
Redstonepillager's extensions: Extended Gridgahlah regiment · Tethratopothoth regiment · Godsgodgulus regiment · Blasphemorgulus regiment · Blasphemordeugulus regiment · Ominongulus regiment

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