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) | Fast-growing hierarchy (approximation) |
|---|---|---|---|
| Ginorgol | E100#100#100#100#100#100#100#100 | \(10\uparrow^8 100\) | \(f_9(100)\) |
| Gaspgoloctex | E100#100#100#100#100#100#100#1#2 | \(10\uparrow^8 (10\uparrow^7 100)\) | \(f_9(f_8(100))\) |
| Gaspgolheptexioctex | E100#100#100#100#100#100#100#2#2 | \(10\uparrow^8 (10\uparrow^7 (10\uparrow^7 100))\) | \(f_9(f_8^2(100))\) |
| Gaspgolduheptexioctex | E100#100#100#100#100#100#100#3#2 | \(10\uparrow^8 (10\uparrow^7 (10\uparrow^7 (10\uparrow^7 100)))\) | \(f_9(f_8^3(100))\) |
| Ginorgoloctex | E100#100#100#100#100#100#100#100#2 | \(10\uparrow^8 (10\uparrow^8 100)\) | \(f_9^2(100)\) |
| Gaspgolduoctex | E100#100#100#100#100#100#100#1#3 | \(10\uparrow^8 (10\uparrow^8 (10\uparrow^7 100))\) | \(f_9^2(f_8(100))\) |
| Gaspgolheptexiduoctex | E100#100#100#100#100#100#100#2#3 | \(10\uparrow^8 (10\uparrow^8 (10\uparrow^7 (10\uparrow^7 100)))\) | \(f_9^2(f_8^2(100))\) |
| Gaspgolduheptexiduoctex | E100#100#100#100#100#100#100#3#3 | \(10\uparrow^8 (10\uparrow^8 (10\uparrow^7 (10\uparrow^7 (10\uparrow^7 100))))\) | \(f_9^2(f_8^3(100))\) |
| Ginorgolduoctex | E100#100#100#100#100#100#100#100#3 | \(10\uparrow^8 (10\uparrow^8 (10\uparrow^8 100))\) | \(f_9^3(100)\) |
| Ginorgolchime | E1000#1000#1000#1000# 1000#1000#1000#1000 |
\(10\uparrow^8 1000\) | \(f_9(1000)\) |
| Ginorgoloctexichime | E1000#1000#1000#1000# 1000#1000#1000#1000#2 |
\(10\uparrow^8 (10\uparrow^8 1000)\) | \(f_9^2(1000)\) |
| Ginorgolduoctexichime | E1000#1000#1000#1000# 1000#1000#1000#1000#3 |
\(10\uparrow^8 (10\uparrow^8 (10\uparrow^8 1000))\) | \(f_9^3(1000)\) |
| Ginorgoltoll | E10,000#10,000#10,000# 10,000#10,000#10,000#10,000#10,000 |
\(10\uparrow^8 10^4\) | \(f_9(10,000)\) |
| Ginorgoloctexitoll | E10,000#10,000#10,000#10,000# 10,000#10,000#10,000#10,000#2 |
\(10\uparrow^8 (10\uparrow^8 10^4)\) | \(f_9^2(10,000)\) |
| Ginorgolduoctexitoll | E10,000#10,000#10,000#10,000# 10,000#10,000#10,000#10,000#3 |
\(10\uparrow^8 (10\uparrow^8 (10\uparrow^8 10^4))\) | \(f_9^3(10,000)\) |
| Ginorgolgong | E100,000#100,000#100,000#100,000# 100,000#100,000#100,000#100,000 |
\(10\uparrow^8 10^5\) | \(f_9(100,000)\) |
| Ginorgoloctexigong | E100,000#100,000#100,000#100,000# 100,000#100,000#100,000#100,000#2 |
\(10\uparrow^8 (10\uparrow^8 10^5)\) | \(f_9^2(100,000)\) |
| Ginorgolduoctexigong | E100,000#100,000#100,000#100,000# 100,000#100,000#100,000#100,000#3 |
\(10\uparrow^8 (10\uparrow^8 (10\uparrow^8 10^5))\) | \(f_9^3(100,000)\) |
| Ginorgolbong | E100,000,000#100,000,000# ... 100,000,000#100,000,000 w/8 100,000,000s |
\(10\uparrow^8 10^8\) | \(f_9(10^8)\) |
| Ginorgoloctexibong | E100,000,000#100,000,000# ... 100,000,000#100,000,000#2 w/8 100,000,000s |
\(10\uparrow^8 (10\uparrow^8 10^8)\) | \(f_9^2(10^8)\) |
| Ginorgolthrong | E100,000,000,000#100,000,000,000# ... 100,000,000,000#100,000,000,000 w/8 100,000,000,000s |
\(10\uparrow^8 10^{11}\) | \(f_9(10^{11})\) |
| Ginorgoloctexithrong | E100,000,000,000#100,000,000,000# ... 100,000,000,000#100,000,000,000#2 w/8 100,000,000,000s |
\(10\uparrow^8 (10\uparrow^8 10^{11})\) | \(f_9^2(10^{11})\) |
| Googoloctex | E100#1#1#1#1#1#1#1#2 | \(10\uparrow^8 10^{100}\) | \(f_9(f_2(323))\) |
| Grangoloctex | E100#100#1#1#1#1#1#1#2 | \(10\uparrow^8 (10\uparrow^2 100)\) | \(f_9(f_3(100))\) |
| Greagoloctex | E100#100#100#1#1#1#1#1#2 | \(10\uparrow^8 (10\uparrow^3 100)\) | \(f_9(f_4(100))\) |
| Gigangoloctex | E100#100#100#100#1#1#1#1#2 | \(10\uparrow^8 (10\uparrow^4 100)\) | \(f_9(f_5(100))\) |
| Gorgegoloctex | E100#100#100#100#100#1#1#1#2 | \(10\uparrow^8 (10\uparrow^5 100)\) | \(f_9(f_6(100))\) |
| Gulgoloctex | E100#100#100#100#100#100#1#1#2 | \(10\uparrow^8 (10\uparrow^6 100)\) | \(f_9(f_7(100))\) |
| Ginorgolplex | E(E100#100#100#100#100#100#100#100) | \(10\uparrow (10\uparrow^8 100)\) | \(f_2(f_9(100))\) |
| Ginorgoldex | E100#(E100#100#100#100#100#100#100#100) | \(10\uparrow^2 (10\uparrow^8 100)\) | \(f_3(f_9(100))\) |
| Ginorgolthrex | E100#100#(E100#100#100#100#100#100#100#100) | \(10\uparrow^3 (10\uparrow^8 100)\) | \(f_4(f_9(100))\) |
| Ginorgoltetrex | E100#100#100# (E100#100#100#100#100#100#100#100) |
\(10\uparrow^4 (10\uparrow^8 100)\) | \(f_5(f_9(100))\) |
| Ginorgolpentex | E100#100#100#100# (E100#100#100#100#100#100#100#100) |
\(10\uparrow^5 (10\uparrow^8 100)\) | \(f_6(f_9(100))\) |
| Ginorgolhex | E100#100#100#100#100# (E100#100#100#100#100#100#100#100) |
\(10\uparrow^6 (10\uparrow^8 100)\) | \(f_7(f_9(100))\) |
| Ginorgolheptex | E100#100#100#100#100#100# (E100#100#100#100#100#100#100#100) = E100#100#100#100#100#100#100#101 |
\(10\uparrow^7 (10\uparrow^8 100)\) | \(f_8(f_9(100))\) |
| Ecetonoctex | E303#1#1#1#1#1#1#1#2 | \(10\uparrow^8 (10^{303})\) | \(f_9(f_2(996))\) |
| Ecetonduoctex | E303#1#1#1#1#1#1#1#3 | \(10\uparrow^8 (10\uparrow^8 (10^{303}))\) | \(f_9^2(f_2(996))\) |
| Tria-dekaxis | E1#1#1#1#1#1#1#1#3 | \(10\uparrow^9 3\) | \(f_9^2(100)\) |
| Tetra-dekaxis | E1#1#1#1#1#1#1#1#4 | \(10\uparrow^9 4\) | \(f_9^3(100)\) |
| Deka-dekaxis | E1#1#1#1#1#1#1#1#10 | \(10\uparrow^9 10\) | \(f_{10}(9)\) |
| Hecta-dekaxis | E1#1#1#1#1#1#1#1#100 | \(10\uparrow^9 100\) | \(f_{10}(99)\) |
| Chilia-dekaxis | E1#1#1#1#1#1#1#1#1000 | \(10\uparrow^9 1000\) | \(f_{10}(999)\) |
| Myria-dekaxis | E1#1#1#1#1#1#1#1#10,000 | \(10\uparrow^9 10000\) | \(f_{10}(9999)\) |
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