Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

The ginorgol regiment is a series of numbers from E100#100#100#100#100#100#100#100 to E1#1#1#1#1#1#1#1#10,000 defined using Hyper-E Notation (i.e. beginning from ginorgol and up to myria-dekaxis).[1] The numbers were coined by Sbiis Saibian.

Previous regiment Next regiment
Gaspgol regiment Gargantuul regiment

List of numbers of the regiment[]

Name of number Hyper-E Notation (definition) Arrow notation (approximation)
Ginorgol E100#100#100#100#100#100#100#100 \(10\uparrow^8 100\)
Gaspgoloctex E100#100#100#100#100#100#100#1#2 \(10\uparrow^8 (10\uparrow^7 100)\)
Gaspgolheptexioctex E100#100#100#100#100#100#100#2#2 \(10\uparrow^8 (10\uparrow^7 (10\uparrow^7 100))\)
Gaspgolduheptexioctex E100#100#100#100#100#100#100#3#2 \(10\uparrow^8 (10\uparrow^7 (10\uparrow^7 (10\uparrow^7 100)))\)
Ginorgoloctex E100#100#100#100#100#100#100#100#2 \(10\uparrow^8 (10\uparrow^8 100)\)
Gaspgolduoctex E100#100#100#100#100#100#100#1#3 \(10\uparrow^8 (10\uparrow^8 (10\uparrow^7 100))\)
Gaspgolheptexiduoctex E100#100#100#100#100#100#100#2#3 \(10\uparrow^8 (10\uparrow^8 (10\uparrow^7 (10\uparrow^7 100)))\)
Gaspgolduheptexiduoctex E100#100#100#100#100#100#100#3#3 \(10\uparrow^8 (10\uparrow^8 (10\uparrow^7 (10\uparrow^7 (10\uparrow^7 100))))\)
Ginorgolduoctex E100#100#100#100#100#100#100#100#3 \(10\uparrow^8 (10\uparrow^8 (10\uparrow^8 100))\)
Ginorgolchime E1000#1000#1000#1000#
1000#1000#1000#1000
\(10\uparrow^8 1000\)
Ginorgoloctexichime E1000#1000#1000#1000#
1000#1000#1000#1000#2
\(10\uparrow^8 (10\uparrow^8 1000)\)
Ginorgolduoctexichime E1000#1000#1000#1000#
1000#1000#1000#1000#3
\(10\uparrow^8 (10\uparrow^8 (10\uparrow^8 1000))\)
Ginorgoltoll E10,000#10,000#10,000#
10,000#10,000#10,000#10,000#10,000
\(10\uparrow^8 10^4\)
Ginorgoloctexitoll E10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#2
\(10\uparrow^8 (10\uparrow^8 10^4)\)
Ginorgolduoctexitoll E10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#3
\(10\uparrow^8 (10\uparrow^8 (10\uparrow^8 10^4))\)
Ginorgolgong E100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000
\(10\uparrow^8 10^5\)
Ginorgoloctexigong E100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#2
\(10\uparrow^8 (10\uparrow^8 10^5)\)
Ginorgolduoctexigong E100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#3
\(10\uparrow^8 (10\uparrow^8 (10\uparrow^8 10^5))\)
Ginorgolbong E100,000,000#100,000,000# ...
100,000,000#100,000,000
w/8 100,000,000s
\(10\uparrow^8 10^8\)
Ginorgoloctexibong E100,000,000#100,000,000# ...
100,000,000#100,000,000#2
w/8 100,000,000s
\(10\uparrow^8 (10\uparrow^8 10^8)\)
Ginorgolthrong E100,000,000,000#100,000,000,000# ...
100,000,000,000#100,000,000,000
w/8 100,000,000,000s
\(10\uparrow^8 10^{11}\)
Ginorgoloctexithrong E100,000,000,000#100,000,000,000# ...
100,000,000,000#100,000,000,000#2
w/8 100,000,000,000s
\(10\uparrow^8 (10\uparrow^8 10^{11})\)
Googoloctex E100#1#1#1#1#1#1#1#2 \(10\uparrow^8 10^{100}\)
Grangoloctex E100#100#1#1#1#1#1#1#2 \(10\uparrow^8 (10\uparrow^2 100)\)
Greagoloctex E100#100#100#1#1#1#1#1#2 \(10\uparrow^8 (10\uparrow^3 100)\)
Gigangoloctex E100#100#100#100#1#1#1#1#2 \(10\uparrow^8 (10\uparrow^4 100)\)
Gorgegoloctex E100#100#100#100#100#1#1#1#2 \(10\uparrow^8 (10\uparrow^5 100)\)
Gulgoloctex E100#100#100#100#100#100#1#1#2 \(10\uparrow^8 (10\uparrow^6 100)\)
Ginorgolplex E(E100#100#100#100#100#100#100#100) \(10\uparrow (10\uparrow^8 100)\)
Ginorgoldex E100#(E100#100#100#100#100#100#100#100) \(10\uparrow^2 (10\uparrow^8 100)\)
Ginorgolthrex E100#100#(E100#100#100#100#100#100#100#100) \(10\uparrow^3 (10\uparrow^8 100)\)
Ginorgoltetrex E100#100#100#
(E100#100#100#100#100#100#100#100)
\(10\uparrow^4 (10\uparrow^8 100)\)
Ginorgolpentex E100#100#100#100#
(E100#100#100#100#100#100#100#100)
\(10\uparrow^5 (10\uparrow^8 100)\)
Ginorgolhex E100#100#100#100#100#
(E100#100#100#100#100#100#100#100)
\(10\uparrow^6 (10\uparrow^8 100)\)
Ginorgolheptex E100#100#100#100#100#100#
(E100#100#100#100#100#100#100#100)
= E100#100#100#100#100#100#100#101
\(10\uparrow^7 (10\uparrow^8 100)\)
Ecetonoctex E303#1#1#1#1#1#1#1#2 \(10\uparrow^8 (10^{303})\)
Ecetonduoctex E303#1#1#1#1#1#1#1#3 \(10\uparrow^8 (10\uparrow^8 (10^{303}))\)
Tria-dekaxis E1#1#1#1#1#1#1#1#3 \(10\uparrow^9 3\)
Tetra-dekaxis E1#1#1#1#1#1#1#1#4 \(10\uparrow^9 4\)
Deka-dekaxis E1#1#1#1#1#1#1#1#10 \(10\uparrow^9 10\)
Hecta-dekaxis E1#1#1#1#1#1#1#1#100 \(10\uparrow^9 100\)
Chilia-dekaxis E1#1#1#1#1#1#1#1#1000 \(10\uparrow^9 1000\)
Myria-dekaxis E1#1#1#1#1#1#1#1#10,000 \(10\uparrow^9 10000\)

Etymology[]

Parts of names Meaning
tria 3
tetra 4
penta 5
hexa 6
hepta 7
octa 8
enna 9
deka 10
hecta 100
chilia 1000
myria 10000
ding multiply the base value by 5
chime multiply the base value by 10
bell multiply the base value by 50
toll multiply the base value by 100
gong multiply the base value by 1000
bong multiply the base value by \(10^6\)
throng multiply the base value by \(10^9\)
gandingan multiply the base value by \(10^{12}\)

Sources[]

  1. Sbiis Saibian, 4.3.2 - Hyper-E 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 · 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

Advertisement