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.
| Previous regiment | Next regiment |
|---|---|
| Gargantuul regiment | Gugold regiment |
List of numbers of the regiment[]
| Name of number | Hyper-E Notation (definition) | Arrow notation (approximation) | Fast-growing hierarchy (approximation) |
|---|---|---|---|
| googondol | E100#100#100#100#100#100#100#100#100#100 | \(10\uparrow^{10}100\) | \(f_{11}(100)\) |
| gargantuuldecex | E100#100#100#100#100#100#100#100#100#1#2 | \(10\uparrow^{10}(10\uparrow^{9}100)\) | \(f_{11}(f_{10}(100))\) |
| gargantuulennexidecex | E100#100#100#100#100#100#100#100#100#2#2 | \(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}100))\) | \(f_{11}(f_{10}^2(100))\) |
| gargantuulduennexidecex | E100#100#100#100#100#100#100#100#100#3#2 | \(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}(10\uparrow^{9}100)))\) | \(f_{11}(f_{10}^3(100))\) |
| googondoldecex | E100#100#100#100#100#100#100#100#100#100#2 | \(10\uparrow^{10}(10\uparrow^{10}100)\) | \(f_{11}^2(100)\) |
| gargantuuldudecex | E100#100#100#100#100#100#100#100#100#1#3 | \(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}100))\) | \(f_{11}^2(f_{10}(100))\) |
| gargantuulennexidudecex | E100#100#100#100#100#100#100#100#100#2#3 | \(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}100)))\) | \(f_{11}^2(f_{10}^2(100))\) |
| gargantuulduennexidudecex | E100#100#100#100#100#100#100#100#100#3#3 | \(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{9}(10\uparrow^{9}(10\uparrow^{9}100))))\) | \(f_{11}^2(f_{10}^3(100))\) |
| googondoldudecex | E100#100#100#100#100#100#100#100#100#100#3 | \(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}100))\) | \(f_{11}^3(100)\) |
| googondolchime | E1000#1000#1000#1000#1000#1000#
1000#1000#1000#1000 |
\(10\uparrow^{10}1000\) | \(f_{11}(1000)\) |
| googondoldecexichime | E1000#1000#1000#1000#1000#1000#
1000#1000#1000#1000#2 |
\(10\uparrow^{10}(10\uparrow^{10}1000)\) | \(f_{11}^2(1000)\) |
| googondoldudecexichime | E1000#1000#1000#1000#1000#1000#
1000#1000#1000#1000#3 |
\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}1000))\) | \(f_{11}^3(1000)\) |
| googondoltoll | E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#10,000 |
\(10\uparrow^{10}10^4\) | \(f_{11}(10,000)\) |
| googondoldecexitoll | E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#10,000#2 |
\(10\uparrow^{10}(10\uparrow^{10}10^4)\) | \(f_{11}^2(10,000)\) |
| googondoldudecexitoll | E10,000#10,000#10,000#10,000#10,000#
10,000#10,000#10,000#10,000#10,000#3 |
\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^4))\) | \(f_{11}^3(10,000)\) |
| googondolgong | E100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#100,000#100,000 |
\(10\uparrow^{10}10^5\) | \(f_{11}(100,000)\) |
| googondoldecexigong | E100,000#100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#100,000#2 |
\(10\uparrow^{10}(10\uparrow^{10}10^5)\) | \(f_{11}^2(100,000)\) |
| googondoldudecexigong | E100,000#100,000#100,000#100,000#100,000#
100,000#100,000#100,000#100,000#100,000#3 |
\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^5))\) | \(f_{11}^3(100,000)\) |
| googondolbong | E100,000,000#100,000,000# ...
... #100,000,000#100,000,000 w/10 100,000,000s |
\(10\uparrow^{10}10^8\) | \(f_{11}(10^8)\) |
| googondoldecexibong | E100,000,000#100,000,000# ...
... #100,000,000#100,000,000#2 w/10 100,000,000s |
\(10\uparrow^{10}(10\uparrow^{10}10^8)\) | \(f_{11}^2(10^8)\) |
| googondoldudecexibong | E100,000,000#100,000,000# ...
... #100,000,000#100,000,000#3 w/10 100,000,000s |
\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^8))\) | \(f_{11}^3(10^8)\) |
| googondolthrong | E100,000,000,000#100,000,000,000# ...
...#100,000,000,000#100,000,000,000 w/10 100,000,000,000s |
\(10\uparrow^{10}10^{11}\) | \(f_{11}(10^{11})\) |
| googondoldecexithrong | E100,000,000,000#100,000,000,000# ...
...#100,000,000,000#100,000,000,000#2 w/10 100,000,000,000s |
\(10\uparrow^{10}(10\uparrow^{10}10^{11})\) | \(f_{11}^2(10^{11})\) |
| googondoldudecexithrong | E100,000,000,000#100,000,000,000# ...
...#100,000,000,000#100,000,000,000#3 w/10 100,000,000,000s |
\(10\uparrow^{10}(10\uparrow^{10}(10\uparrow^{10}10^{11}))\) | \(f_{11}^3(10^{11})\) |
| googoldecex | E100#1#1#1#1#1#1#1#1#1#2 | \(10\uparrow^{10}10^{100}\) | \(f_{11}(f_2(323))\) |
| grangoldecex | E100#100#1#1#1#1#1#1#1#1#2 | \(10\uparrow^{10}(10\uparrow^{2}100)\) | \(f_{11}(f_3(100))\) |
| greagoldecex | E100#100#100#1#1#1#1#1#1#1#2 | \(10\uparrow^{10}(10\uparrow^{3}100)\) | \(f_{11}(f_4(100))\) |
| gigangoldecex | E100#100#100#100#1#1#1#1#1#1#2 | \(10\uparrow^{10}(10\uparrow^{4}100)\) | \(f_{11}(f_5(100))\) |
| gorgegoldecex | E100#100#100#100#100#1#1#1#1#1#2 | \(10\uparrow^{10}(10\uparrow^{5}100)\) | \(f_{11}(f_6(100))\) |
| gulgoldecex | E100#100#100#100#100#100#1#1#1#1#2 | \(10\uparrow^{10}(10\uparrow^{6}100)\) | \(f_{11}(f_7(100))\) |
| gaspgoldecex | E100#100#100#100#100#100#100#1#1#1#2 | \(10\uparrow^{10}(10\uparrow^{7}100)\) | \(f_{11}(f_8(100))\) |
| ginorgoldecex | E100#100#100#100#100#100#100#100#1#1#2 | \(10\uparrow^{10}(10\uparrow^{8}100)\) | \(f_{11}(f_9(100))\) |
| googondolplex | E(E100##10) | \(10\uparrow(10\uparrow^{10}100)\) | \(f_2(f_{11}(100))\) |
| googondoldex | E100#(E100##10) | \(10\uparrow^2 (10\uparrow^{10}100)\) | \(f_3(f_{11}(100))\) |
| googondolthrex | E100#100#(E100##10) | \(10\uparrow^3 (10\uparrow^{10}100)\) | \(f_4(f_{11}(100))\) |
| googondoltetrex | E100#100#100#(E100##10) | \(10\uparrow^4 (10\uparrow^{10}100)\) | \(f_5(f_{11}(100))\) |
| googondolpentex | E100#100#100#100#(E100##10) | \(10\uparrow^5 (10\uparrow^{10}100)\) | \(f_6(f_{11}(100))\) |
| googondolhex | E100#100#100#100#100#(E100##10) | \(10\uparrow^6 (10\uparrow^{10}100)\) | \(f_7(f_{11}(100))\) |
| googondolheptex | E100#100#100#100#100#100#(E100##10) | \(10\uparrow^7 (10\uparrow^{10}100)\) | \(f_8(f_{11}(100))\) |
| googondoloctex | E100#100#100#100#100#100#100#(E100##10) | \(10\uparrow^8 (10\uparrow^{10}100)\) | \(f_9(f_{11}(100))\) |
| googondolennex | E100#100#100#100#100#100#100#100#(E100##10)
= E100#100#100#100#100#100#100#100#100#101 |
\(10\uparrow^9 (10\uparrow^{10}100)\) | \(f_{10}(f_{11}(100))\) |
| ecetondecex | E303#1#1#1#1#1#1#1#1#1#2 | \(10\uparrow^{10} (10^{303})\) | \(f_{11}(f_2(996))\) |
| ecetondudecex | E303#1#1#1#1#1#1#1#1#1#3 | \(10\uparrow^{10} (10\uparrow^{10} (10^{303}))\) | \(f_{11}^2(f_2(996))\) |
| tria-dodekaxis | E1#1#1#1#1#1#1#1#1#1#3 | \(10\uparrow^{11} 3\) | \(f_{11}^2(100)\) |
| tetra-dodekaxis | E1#1#1#1#1#1#1#1#1#1#4 | \(10\uparrow^{11} 4\) | \(f_{11}^3(100)\) |
| deka-dodekaxis | E1#1#1#1#1#1#1#1#1#1#10 | \(10\uparrow^{11} 10\) | \(f_{12}(9)\) |
| hecta-dodekaxis | E1#1#1#1#1#1#1#1#1#1#100 | \(10\uparrow^{11} 100\) | \(f_{12}(99)\) |
| chilia-dodekaxis | E1#1#1#1#1#1#1#1#1#1#1000 | \(10\uparrow^{11} 1000\) | \(f_{12}(999)\) |
| myria-dodekaxis | E1#1#1#1#1#1#1#1#1#1#10,000 | \(10\uparrow^{11} 10000\) | \(f_{12}(9999)\) |
| googoadol | E100##11 | \(10\uparrow^{11} 100\) | \(f_{12}(100)\) |
| goograndol | E100##12 | \(10\uparrow^{12} 100\) | \(f_{\omega}(13)\) |
| googreadol | E100##13 | \(10\uparrow^{13} 100\) | \(f_{\omega}(14)\) |
| googigandol | E100##14 | \(10\uparrow^{14} 100\) | \(f_{\omega}(15)\) |
| googorgedol | E100##15 | \(10\uparrow^{15} 100\) | \(f_{\omega}(16)\) |
| googuldol | E100##16 | \(10\uparrow^{16} 100\) | \(f_{\omega}(17)\) |
| googaspdol | E100##17 | \(10\uparrow^{17} 100\) | \(f_{\omega}(18)\) |
| googinordol | E100##18 | \(10\uparrow^{18} 100\) | \(f_{\omega}(19)\) |
| googarganduul | E100##19 | \(10\uparrow^{19} 100\) | \(f_{\omega}(20)\) |
| googonkosol | E100##20 | \(10\uparrow^{20} 100\) | \(f_{\omega}(21)\) |
| googontritol | E100##30 | \(10\uparrow^{30} 100\) | \(f_{\omega}(31)\) |
| googonsartol | E100##40 | \(10\uparrow^{40} 100\) | \(f_{\omega}(41)\) |
| googonpetol | E100##50 | \(10\uparrow^{50} 100\) | \(f_{\omega}(51)\) |
| googonextol | E100##60 | \(10\uparrow^{60} 100\) | \(f_{\omega}(61)\) |
| googoneptol | E100##70 | \(10\uparrow^{70} 100\) | \(f_{\omega}(71)\) |
| googonogdol | E100##80 | \(10\uparrow^{80} 100\) | \(f_{\omega}(81)\) |
| googonentol | E100##90 | \(10\uparrow^{90} 100\) | \(f_{\omega}(91)\) |
| googonhectol | E100##100 | \(10\uparrow^{100} 100\) | \(f_{\omega}(101)\) |
| great googol | E100##1#2 = E100##(E100##1#1) =
= E100##(E100) = E100##(googol) = E100#100#100#100# ... ... #100#100#100#100 w/googol 100s |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10^{100}\quad \uparrow 's}100\) | \(f_{\omega}(f_2(323))\) |
| great grangol | E100##2#2
= E100##(E100#100) |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^2 100}100\) | \(f_{\omega}(f_3(100))\) |
| great greagol | E100##3#2
= E100##(E100#100#100) |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^3 100}100\) | \(f_{\omega}(f_4(100))\) |
| great gigangol | E100##4#2
= E100##(E100#100#100#100) |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^4 100}100\) | \(f_{\omega}(f_5(100))\) |
| great gorgegol | E100##5#2
= E100##(E100#100#100#100#100) |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^5 100}100\) | \(f_{\omega}(f_6(100))\) |
| great gulgol | E100##6#2
= E100##(E100#100#100#100#100#100) |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^6 100}100\) | \(f_{\omega}(f_7(100))\) |
| great gaspgol | E100##7#2
= E100##(E100#100#100#100#100#100#100) |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^7 100}100\) | \(f_{\omega}(f_8(100))\) |
| great ginorgol | E100##8#2
= E100##(E100#100#100#100#100#100#100#100) |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^8 100}100\) | \(f_{\omega}(f_9(100))\) |
| great gargantuul | E100##9#2
= E100##(E100#100#100#100#100#100#100#100#100) |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^9 100}100\) | \(f_{\omega}(f_{10}(100))\) |
| great googondol | E100##10#2
= E100##(E100##10) = E100##(googondol) = E100#100#100#100#100# ... ... #100#100#100#100#100 w/googondol 100s |
\(10\underbrace{\uparrow\uparrow\cdots \uparrow\uparrow}_{10\uparrow^{10} 100}100\) | \(f_{\omega}(f_{11}(100))\) |
Sources[]
- ↑ Sbiis Saibian, 4.3.2 - Hyper-E Numbers
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