The gulgol regiment is a series of numbers from E100#100#100#100#100#100 to E1#1#1#1#1#1#10,000 defined using Hyper-E Notation (i.e. beginning from gulgol and up to myria-octaxis).[1] The numbers were coined by Sbiis Saibian.
Previous regiment | Next regiment |
---|---|
Gorgegol regiment | Gaspgol regiment |
List of numbers of the regiment[]
Name of number | Hyper-E Notation (definition) | Arrow notation (approximation) | Fast-growing hierarchy (approximation) |
---|---|---|---|
gulgol | E100#100#100#100#100#100 | \(10 \uparrow^6 100\) | \(f_7(100)\) |
gorgegolhex | E100#100#100#100#100#1#2 | \(10 \uparrow^6 (10 \uparrow^5 100)\) | \(f_7(f_6(100))\) |
gorgegolpentexihex | E100#100#100#100#100#2#2 | \(10 \uparrow^6 (10 \uparrow^5 (10\uparrow^5 100))\) | \(f_7(f_6^2(100))\) |
gulgolhex | E100#100#100#100#100#100#2 | \(10 \uparrow^6 (10\uparrow^6 100)\) | \(f_7^2(100)\) |
gorgegolduhex | E100#100#100#100#100#1#3 | \(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^5 100))\) | \(f_7^2(f_6(100))\) |
gorgegolpentexiduhex | E100#100#100#100#100#2#3 | \(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^5 (10 \uparrow^5 100)))\) | \(f_7^2(f_6^2(100))\) |
gulgolduhex | E100#100#100#100#100#100#3 | \(10 \uparrow^6 (10\uparrow^6 (10\uparrow^6 100))\) | \(f_7^3(100)\) |
gorgegoltrihex | E100#100#100#100#100#1#4 | \(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^5 100)))\) | \(f_7^3(f_6(100))\) |
gorgegolpentexitrihex | E100#100#100#100#100#2#4 | \(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^5 (10 \uparrow^5 100))))\) | \(f_7^3(f_6^2(100))\) |
gulgoltrihex | E100#100#100#100#100#100#4 | \(10 \uparrow^6 (10 \uparrow^6 (10\uparrow^6 (10\uparrow^6 100)))\) | \(f_7^4(100)\) |
gulgolchime | E1000#1000#1000#1000#1000#1000 | \(10 \uparrow^6 1000\) | \(f_7(1000)\) |
gulgolhexichime | E1000#1000#1000#1000#1000#1000#2 | \(10 \uparrow^6 (10 \uparrow^6 1000)\) | \(f_7^2(1000)\) |
gulgolduhexichime | E1000#1000#1000#1000#1000#1000#3 | \(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^6 1000))\) | \(f_7^3(1000)\) |
gulgoltoll | E10,000#10,000#10,000#10,000#10,000#10,000 | \(10 \uparrow^6 10000\) | \(f_7(10,000)\) |
gulgolhexitoll | E10,000#10,000#10,000#10,000#10,000#10,000#2 | \(10 \uparrow^6 (10 \uparrow^6 10000)\) | \(f_7^2(10,000)\) |
gulgolduhexitoll | E10,000#10,000#10,000#10,000#10,000#10,000#3 | \(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^6 10000))\) | \(f_7^3(10,000)\) |
gulgolgong | E100,000#100,000#100,000#100,000#100,000#100,000 | \(10 \uparrow^6 10^5\) | \(f_7(100,000)\) |
gulgolhexigong | E100,000#100,000#100,000#100,000#100,000#100,000#2 | \(10 \uparrow^6 (10 \uparrow^6 10^5)\) | \(f_7^2(100,000)\) |
gulgolduhexigong | E100,000#100,000#100,000#100,000#100,000#100,000#3 | \(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^6 10^5))\) | \(f_7^3(100,000)\) |
gulgolbong | E100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#100,000,000 |
\(10 \uparrow^6 10^8\) | \(f_7(10^8)\) |
gulgolhexibong | E100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#100,000,000#2 |
\(10 \uparrow^6 (10 \uparrow^6 10^8)\) | \(f_7^2(10^8)\) |
gulgolduhexibong | E100,000,000#100,000,000#100,000,000#
100,000,000#100,000,000#100,000,000#3 |
\(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^6 10^8))\) | \(f_7^3(10^8)\) |
gulgolthrong | E100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#100,000,000,000 |
\(10 \uparrow^6 10^{11}\) | \(f_7(10^{11})\) |
gulgolhexithrong | E100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#100,000,000,000#2 |
\(10 \uparrow^6 (10 \uparrow^6 10^{11})\) | \(f_7^2(10^{11})\) |
gulgolduhexithrong | E100,000,000,000#100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#100,000,000,000#3 |
\(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^6 10^{11}))\) | \(f_7^3(10^{11})\) |
goggolchime | E1#1#1#1#1#1000 | \(10 \uparrow^6 1000\) | \(f_7(1000)\) |
goggoltoll | E1#1#1#1#1#10,000 | \(10 \uparrow^6 10000\) | \(f_7(10,000)\) |
goggolgong | E1#1#1#1#1#100,000 | \(10 \uparrow^6 10^5\) | \(f_7(100,000)\) |
goggolbong | E1#1#1#1#1#100,000,000 | \(10 \uparrow^6 10^8\) | \(f_7(10^8)\) |
goggolthrong | E1#1#1#1#1#100,000,000,000 | \(10 \uparrow^6 10^{11}\) | \(f_7(10^{11})\) |
googolhex | E100#1#1#1#1#1#2 | \(10 \uparrow^6 10^{100}\) | \(f_7(f_2(323))\) |
grangolhex | E100#100#1#1#1#1#2 | \(10 \uparrow^6 (10 \uparrow^2 100)\) | \(f_7(f_3(100))\) |
greagolhex | E100#100#100#1#1#1#2 | \(10 \uparrow^6 (10 \uparrow^3 100)\) | \(f_7(f_4(100))\) |
gigangolhex | E100#100#100#100#1#1#2 | \(10 \uparrow^6 (10 \uparrow^4 100)\) | \(f_7(f_5(100))\) |
gulgolplex | E(E100#100#100#100#100#100) | \(10 \uparrow (10 \uparrow^6 100)\) | \(f_2(f_7(100))\) |
gulgoldex | E100#(E100#100#100#100#100#100) | \(10 \uparrow^2 (10 \uparrow^6 100)\) | \(f_3(f_7(100))\) |
gulgolthrex | E100#100#(E100#100#100#100#100#100) | \(10 \uparrow^3 (10 \uparrow^6 100)\) | \(f_4(f_7(100))\) |
gulgoltetrex | E100#100#100#(E100#100#100#100#100#100) | \(10 \uparrow^4 (10 \uparrow^6 100)\) | \(f_5(f_7(100))\) |
gulgolpentex | E100#100#100#100#(E100#100#100#100#100#100)
= E100#100#100#100#100#101 |
\(10 \uparrow^5 (10 \uparrow^6 100)\) | \(f_6(f_7(100))\) |
ecetonhex | E303#1#1#1#1#1#2 | \(10 \uparrow^6 10^{303}\) | \(f_7(f_2(996))\) |
ecetonduhex | E303#1#1#1#1#1#3 | \(10 \uparrow^6 (10 \uparrow^6 10^{303})\) | \(f_7^2(f_2(996))\) |
ecetontrihex | E303#1#1#1#1#1#4 | \(10 \uparrow^6 (10 \uparrow^6 (10 \uparrow^6 10^{303}))\) | \(f_7^3(f_2(996))\) |
tria-octaxis | E1#1#1#1#1#1#3 | \(10 \uparrow^7 3\) | \(f_7^2(100)\) |
tetra-octaxis | E1#1#1#1#1#1#4 | \(10 \uparrow^7 4\) | \(f_7^3(100)\) |
deka-octaxis | E1#1#1#1#1#1#10 | \(10 \uparrow^7 10\) | \(f_8(9)\) |
hecta-octaxis | E1#1#1#1#1#1#100 | \(10 \uparrow^7 100\) | \(f_8(99)\) |
chilia-octaxis | E1#1#1#1#1#1#1000 | \(10 \uparrow^7 1000\) | \(f_8(999)\) |
myria-octaxis | E1#1#1#1#1#1#10,000 | \(10 \uparrow^7 10000\) | \(f_8(9999)\) |
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[]
- ↑ 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