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The googondol regiment is a series of numbers from E100#100#100#100#100#100#100#100#100#100 to E100##10#2 defined using Hyper-E Notation (i.e. beginning from googondol and up to great googondol).[1] The numbers were coined by Sbiis Saibian.

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Gargantuul regiment Gugold regiment

List of numbers of the regiment[]

Name of number Hyper-E Notation (definition) Arrow notation (approximation)
googondol E100#100#100#100#100#100#100#100#100#100 \(10\uparrow^{10}100\)
gargantuuldecex E100#100#100#100#100#100#100#100#100#1#2 \(10\uparrow^{10}(10\uparrow^{9}100)\)
gargantuulennexidecex E100#100#100#100#100#100#100#100#100#2#2 \(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}100))\)
gargantuulduennexidecex E100#100#100#100#100#100#100#100#100#3#2 \(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}(10\uparrow^{9}100)))\)
googondoldecex E100#100#100#100#100#100#100#100#100#100#2 \(10\uparrow^{10}(10\uparrow^{10}100)\)
gargantuuldudecex E100#100#100#100#100#100#100#100#100#1#3 \(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}100))\)
gargantuulennexidudecex E100#100#100#100#100#100#100#100#100#2#3 \(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}100)))\)
gargantuulduennexidudecex E100#100#100#100#100#100#100#100#100#3#3 \(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}(10\uparrow^{9}100))))\)
googondoldudecex E100#100#100#100#100#100#100#100#100#100#3 \(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}100))\)
googondolchime E1000#1000#1000#1000#1000#1000#

1000#1000#1000#1000

\(10\uparrow^{10}1000\)
googondoldecexichime E1000#1000#1000#1000#1000#1000#

1000#1000#1000#1000#2

\(10\uparrow^{10}(10\uparrow^{10}1000)\)
googondoldudecexichime E1000#1000#1000#1000#1000#1000#

1000#1000#1000#1000#3

\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}1000))\)
googondoltoll E10,000#10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000

\(10\uparrow^{10}10^4\)
googondoldecexitoll E10,000#10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000#2

\(10\uparrow^{10}(10\uparrow^{10}10^4)\)
googondoldudecexitoll E10,000#10,000#10,000#10,000#10,000#

10,000#10,000#10,000#10,000#10,000#3

\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^4))\)
googondolgong E100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000#100,000

\(10\uparrow^{10}10^5\)
googondoldecexigong E100,000#100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000#2

\(10\uparrow^{10}(10\uparrow^{10}10^5)\)
googondoldudecexigong E100,000#100,000#100,000#100,000#100,000#

100,000#100,000#100,000#100,000#100,000#3

\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^5))\)
googondolbong E100,000,000#100,000,000# ...

... #100,000,000#100,000,000 w/10 100,000,000s

\(10\uparrow^{10}10^8\)
googondoldecexibong E100,000,000#100,000,000# ...

... #100,000,000#100,000,000#2 w/10 100,000,000s

\(10\uparrow^{10}(10\uparrow^{10}10^8)\)
googondoldudecexibong E100,000,000#100,000,000# ...

... #100,000,000#100,000,000#3 w/10 100,000,000s

\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^8))\)
googondolthrong E100,000,000,000#100,000,000,000# ...

...#100,000,000,000#100,000,000,000

w/10 100,000,000,000s

\(10\uparrow^{10}10^{11}\)
googondoldecexithrong E100,000,000,000#100,000,000,000# ...

...#100,000,000,000#100,000,000,000#2 w/10 100,000,000,000s

\(10\uparrow^{10}(10\uparrow^{10}10^{11})\)
googondoldudecexithrong E100,000,000,000#100,000,000,000# ...

...#100,000,000,000#100,000,000,000#3 w/10 100,000,000,000s

\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^{11}))\)
googoldecex E100#1#1#1#1#1#1#1#1#1#2 \(10\uparrow^{10}10^{100}\)
grangoldecex E100#100#1#1#1#1#1#1#1#1#2 \(10\uparrow^{10}(10\uparrow^{2}100)\)
greagoldecex E100#100#100#1#1#1#1#1#1#1#2 \(10\uparrow^{10}(10\uparrow^{3}100)\)
gigangoldecex E100#100#100#100#1#1#1#1#1#1#2 \(10\uparrow^{10}(10\uparrow^{4}100)\)
gorgegoldecex E100#100#100#100#100#1#1#1#1#1#2 \(10\uparrow^{10}(10\uparrow^{5}100)\)
gulgoldecex E100#100#100#100#100#100#1#1#1#1#2 \(10\uparrow^{10}(10\uparrow^{6}100)\)
gaspgoldecex E100#100#100#100#100#100#100#1#1#1#2 \(10\uparrow^{10}(10\uparrow^{7}100)\)
ginorgoldecex E100#100#100#100#100#100#100#100#1#1#2 \(10\uparrow^{10}(10\uparrow^{8}100)\)
googondolplex E(E100##10) \(10\uparrow(10\uparrow^{10}100)\)
googondoldex E100#(E100##10) \(10\uparrow^2 (10\uparrow^{10}100)\)
googondolthrex E100#100#(E100##10) \(10\uparrow^3 (10\uparrow^{10}100)\)
googondoltetrex E100#100#100#(E100##10) \(10\uparrow^4 (10\uparrow^{10}100)\)
googondolpentex E100#100#100#100#(E100##10) \(10\uparrow^5 (10\uparrow^{10}100)\)
googondolhex E100#100#100#100#100#(E100##10) \(10\uparrow^6 (10\uparrow^{10}100)\)
googondolheptex E100#100#100#100#100#100#(E100##10) \(10\uparrow^7 (10\uparrow^{10}100)\)
googondoloctex E100#100#100#100#100#100#100#(E100##10) \(10\uparrow^8 (10\uparrow^{10}100)\)
googondolennex E100#100#100#100#100#100#100#100#(E100##10)

= E100#100#100#100#100#100#100#100#100#101

\(10\uparrow^9 (10\uparrow^{10}100)\)
ecetondecex E303#1#1#1#1#1#1#1#1#1#2 \(10\uparrow^{10} (10^{303})\)
ecetondudecex E303#1#1#1#1#1#1#1#1#1#3 \(10\uparrow^{10} (10\uparrow^{10} (10^{303}))\)
tria-dodekaxis E1#1#1#1#1#1#1#1#1#1#3 \(10\uparrow^{11} 3\)
tetra-dodekaxis E1#1#1#1#1#1#1#1#1#1#4 \(10\uparrow^{11} 4\)
deka-dodekaxis E1#1#1#1#1#1#1#1#1#1#10 \(10\uparrow^{11} 10\)
hecta-dodekaxis E1#1#1#1#1#1#1#1#1#1#100 \(10\uparrow^{11} 100\)
chilia-dodekaxis E1#1#1#1#1#1#1#1#1#1#1000 \(10\uparrow^{11} 1000\)
myria-dodekaxis E1#1#1#1#1#1#1#1#1#1#10,000 \(10\uparrow^{11} 10000\)
googoadol E100##11 \(10\uparrow^{11} 100\)
goograndol E100##12 \(10\uparrow^{12} 100\)
googreadol E100##13 \(10\uparrow^{13} 100\)
googigandol E100##14 \(10\uparrow^{14} 100\)
googorgedol E100##15 \(10\uparrow^{15} 100\)
googuldol E100##16 \(10\uparrow^{16} 100\)
googaspdol E100##17 \(10\uparrow^{17} 100\)
googinordol E100##18 \(10\uparrow^{18} 100\)
googarganduul E100##19 \(10\uparrow^{19} 100\)
googonkosol E100##20 \(10\uparrow^{20} 100\)
googontritol E100##30 \(10\uparrow^{30} 100\)
googonsartol E100##40 \(10\uparrow^{40} 100\)
googonpetol E100##50 \(10\uparrow^{50} 100\)
googonextol E100##60 \(10\uparrow^{60} 100\)
googoneptol E100##70 \(10\uparrow^{70} 100\)
googonogdol E100##80 \(10\uparrow^{80} 100\)
googonentol E100##90 \(10\uparrow^{90} 100\)
googonhectol E100##100 \(10\uparrow^{100} 100\)
great googol E100##1#2 = E100##(E100##1#1) =

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

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10^{100}\quad \uparrow 's}100\)
great grangol E100##2#2

= E100##(E100#100)

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^2 100}100\)
great greagol E100##3#2

= E100##(E100#100#100)

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^3 100}100\)
great gigangol E100##4#2

= E100##(E100#100#100#100)

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^4 100}100\)
great gorgegol E100##5#2

= E100##(E100#100#100#100#100)

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^5 100}100\)
great gulgol E100##6#2

= E100##(E100#100#100#100#100#100)

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^6 100}100\)
great gaspgol E100##7#2

= E100##(E100#100#100#100#100#100#100)

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^7 100}100\)
great ginorgol E100##8#2

= E100##(E100#100#100#100#100#100#100#100)

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^8 100}100\)
great gargantuul E100##9#2

= E100##(E100#100#100#100#100#100#100#100#100)

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^9 100}100\)
great googondol E100##10#2

= E100##(E100##10) = E100##(googondol) = E100#100#100#100#100# ... ... #100#100#100#100#100 w/googondol 100s

\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^{10} 100}100\)

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

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