The gigangol regiment is a series of numbers from E100#100#100#100 to E1#1#1#1#10,000 defined using Hyper-E notation (i.e. beginning from gigangol and up to myria-exaxis).[1] The numbers were coined by Sbiis Saibian.
| Previous regiment | Next regiment |
|---|---|
| Greagol regiment | Gorgegol regiment |
List of numbers of the regiment[]
| Name of number | Hyper-E Notation (definition) | Arrow notation (approximation) | Fast-growing hierarchy (approximation) |
|---|---|---|---|
| Gigangol | E100#100#100#100 | \(10\uparrow^4 100\) | \(f_5(100)\) |
| Greagoltetrex | E100#100#100#1#2 | \(10\uparrow^4 (10\uparrow^3 100)\) | \(f_5(f_4(100))\) |
| Greagolthrexitetrex | E100#100#100#2#2 | \(10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))\) | \(f_5(f_4^2(100))\) |
| Greagolduthrexitetrex | E100#100#100#3#2 | \(10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))\) | \(f_5(f_4^3(100))\) |
| Gigangoltetrex | E100#100#100#100#2 = E100#100#100#gigangol | \(10\uparrow^4 (10\uparrow^4 100)\) | \(f_5^2(100)\) |
| Greagoldutetrex | E100#100#100#1#3 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100))\) | \(f_5^2(f_4(100))\) |
| Greagolthrexidutetrex | E100#100#100#2#3 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100)))\) | \(f_5^2(f_4^2(100))\) |
| Greagolduthrexidutetrex | E100#100#100#3#3 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100))))\) | \(f_5^2(f_4^3(100))\) |
| Gigangoldutetrex | E100#100#100#100#3 = E100#100#100#gigangoltetrex | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100))\) | \(f_5^3(100)\) |
| Greagoltritetrex | E100#100#100#1#4 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100)))\) | \(f_5^3(f_4(100))\) |
| Greagolthrexitritetrex | E100#100#100#2#4 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))))\) | \(f_5^3(f_4^2(100))\) |
| Greagolduthrexitritetrex | E100#100#100#3#4 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))))\) | \(f_5^3(f_4^3(100))\) |
| Gigangoltritetrex | E100#100#100#100#4 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100)))\) | \(f_5^4(100)\) |
| Greagolquadritetrex | E100#100#100#1#5 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100))))\) | \(f_5^4(f_4(100))\) |
| Greagolthrexiquadritetrex | E100#100#100#2#5 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100)))))\) | \(f_5^4(f_4^2(100))\) |
| Greagolduthrexiquadritetrex | E100#100#100#3#5 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100))))))\) | \(f_5^4(f_4^3(100))\) |
| Gigangolquadritetrex | E100#100#100#100#5 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100))))\) | \(f_5^5(100)\) |
| Greagolquintitetrex | E100#100#100#1#6 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100)))))\) | \(f_5^5(f_4(100))\) |
| Greagolthrexiquintitetrex | E100#100#100#2#6 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))))))\) | \(f_5^5(f_4^2(100))\) |
| Greagolduthrexiquintitetrex | E100#100#100#3#6 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))))))\) | \(f_5^5(f_4^3(100))\) |
| Gigangolquintitetrex | E100#100#100#100#6 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100)))))\) | \(f_5^6(100)\) |
| Gigangolchime | E1,000#1,000#1,000#1,000 | \(10\uparrow^4 1,000\) | \(f_5(1000)\) |
| Gigangoltetrexichime | E1,000#1,000#1,000#1,000#2 | \(10\uparrow^4 (10\uparrow^4 1,000)\) | \(f_5^2(1000)\) |
| Gigangoldutetrexichime | E1,000#1,000#1,000#1,000#3 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 1,000))\) | \(f_5^3(1000)\) |
| Gigangoltoll | E10,000#10,000#10,000#10,000 | \(10\uparrow^4 10,000\) | \(f_5(10,000)\) |
| Gigangoltetrexitoll | E10,000#10,000#10,000#10,000#2 | \(10\uparrow^4 (10\uparrow^4 10,000)\) | \(f_5^2(10,000)\) |
| Gigangoldutetrexitoll | E10,000#10,000#10,000#10,000#3 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10,000))\) | \(f_5^3(10,000)\) |
| Gigangolgong | E100,000#100,000#100,000#100,000 | \(10\uparrow^4 10^5\) | \(f_5(100,000)\) |
| Gigangoltetrexigong | E100,000#100,000#100,000#100,000#2 | \(10\uparrow^4 (10\uparrow^4 10^5)\) | \(f_5^2(100,000)\) |
| Gigangoldutetrexigong | E100,000#100,000#100,000#100,000#3 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^5))\) | \(f_5^3(100,000)\) |
| Gigangolbong | E100,000,000#100,000,000#
100,000,000#100,000,000 |
\(10\uparrow^4 10^8\) | \(f_5(10^8)\) |
| Gigangoltetrexibong | E100,000,000#100,000,000#
100,000,000#100,000,000#2 |
\(10\uparrow^4 (10\uparrow^4 10^8)\) | \(f_5^2(10^8)\) |
| Gigangoldutetrexibong | E100,000,000#100,000,000#
100,000,000#100,000,000#3 |
\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^8))\) | \(f_5^3(10^8)\) |
| Gigangolthrong | E100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000 |
\(10\uparrow^4 10^{11}\) | \(f_5(10^{11})\) |
| Gigangoltetrexithrong | E100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#2 |
\(10\uparrow^4 (10\uparrow^4 10^{11})\) | \(f_5^2(10^{11})\) |
| Gigangoldutetrexithrong | E100,000,000,000#100,000,000,000#
100,000,000,000#100,000,000,000#3 |
\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{11}))\) | \(f_5^3(10^{11})\) |
| Geegolchime | E1#1#1#1000 | \(10\uparrow^4 1000\) | \(f_5(1000)\) |
| Geegoltoll | E1#1#1#10,000 | \(10\uparrow^4 10000\) | \(f_5(10,000)\) |
| Geegolgong | E1#1#1#100,000 | \(10\uparrow^4 10^5\) | \(f_5(100,000)\) |
| Geegolbong | E1#1#1#100,000,000 | \(10\uparrow^4 10^8\) | \(f_5(10^8)\) |
| Geegolthrong | E1#1#1#100,000,000,000 | \(10\uparrow^4 10^{11}\) | \(f_5(10^{11})\) |
| Googoltetrex | E100#1#1#1#2 | \(10\uparrow^4 10^{100}\) | \(f_5(f_2(323))\) |
| Googolplexitetrex | E100#2#1#1#2 | \(10\uparrow^4 10^{10^{100}}\) | \(f_5(f_2^2(323))\) |
| Grangoltetrex | E100#100#1#1#2 | \(10\uparrow^4 (10\uparrow^2 100)\) | \(f_5(f_3(100))\) |
| Grangoldexitetrex | E100#100#2#1#2 | \(10\uparrow^4 (10\uparrow^2 (10\uparrow^2 100))\) | \(f_5(f_3^2(100))\) |
| Gigangolplex | E(E100#100#100#100) | \(10\uparrow (10\uparrow^4 100)\) | \(f_2(f_5(100))\) |
| Gigangoldex | E100#(E100#100#100#100) | \(10\uparrow^2 (10\uparrow^4 100)\) | \(f_3(f_5(100))\) |
| Gigangolthrex | E100#100#(E100#100#100#100) | \(10\uparrow^3 (10\uparrow^4 100)\) | \(f_5(101)\) |
| Ecetontetrex | E303#1#1#1#2 | \(10\uparrow^4 10^{303}\) | \(f_5(f_2(996))\) |
| Ecetondutetrex | E303#1#1#1#3 | \(10\uparrow^4 (10\uparrow^4 10^{303})\) | \(f_5^2(f_2(996))\) |
| Ecetontritetrex | E303#1#1#1#4 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303}))\) | \(f_5^3(f_2(996))\) |
| Ecetonquadritetrex | E303#1#1#1#5 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303})))\) | \(f_5^4(f_2(996))\) |
| Ecetonquintitetrex | E303#1#1#1#6 | \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303}))))\) | \(f_5^5(f_2(996))\) |
| Tria-exaxis | E1#1#1#1#3 | \(10\uparrow^5 3\) | \(f_5^2(100)\) |
| Tetra-exaxis | E1#1#1#1#4 | \(10\uparrow^5 4\) | \(f_5^3(100)\) |
| Deka-exaxis | E1#1#1#1#10 | \(10\uparrow^5 10\) | \(f_6(9)\) |
| Hecta-exaxis | E1#1#1#1#100 | \(10\uparrow^5 100\) | \(f_6(99)\) |
| Chilia-exaxis | E1#1#1#1#1,000 | \(10\uparrow^5 1,000\) | \(f_6(999)\) |
| Myria-exaxis | E1#1#1#1#10,000 | \(10\uparrow^5 10,000\) | \(f_6(9999)\) |
Constituent Etymology[]
| Parts of names | |
|---|---|
| tria | 3 |
| tetra | 4 |
| penta | 5 |
| hexa | 6 |
| hepta | 7 |
| octa | 8 |
| enna | 9 |
| deka | 10 |
| hecta | 100 |
| chilia | 1,000 |
| myria | 10,000 |
| 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 1,000 |
| bong | multiply the base value by 106 |
| throng | multiply the base value by 109 |
| gandingan | multiply the base value by 1012 |
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