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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.

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Greagol regiment Gorgegol regiment

List of numbers of the regiment Edit

Name of number Hyper-E Notation (definition) Arrow notation (approximation)
gigangol E100#100#100#100 \(10\uparrow^4 100\)
greagoltetrex E100#100#100#1#2 \(10\uparrow^4 (10\uparrow^3 100)\)
greagolthrexitetrex E100#100#100#2#2 \(10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))\)
greagolduthrexitetrex E100#100#100#3#2 \(10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))\)
gigangoltetrex E100#100#100#100#2 = E100#100#100#gigangol \(10\uparrow^4 (10\uparrow^4 100)\)
greagoldutetrex E100#100#100#1#3 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100))\)
greagolthrexidutetrex E100#100#100#2#3 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100)))\)
greagolduthrexidutetrex E100#100#100#3#3 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100))))\)
gigangoldutetrex E100#100#100#100#3 = E100#100#100#gigangoltetrex \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100))\)
greagoltritetrex E100#100#100#1#4 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100)))\)
greagolthrexitritetrex E100#100#100#2#4 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))))\)
greagolduthrexitritetrex E100#100#100#3#4 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))))\)
gigangoltritetrex E100#100#100#100#4 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100)))\)
greagolquadritetrex E100#100#100#1#5 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100))))\)
greagolthrexiquadritetrex E100#100#100#2#5 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100)))))\)
greagolduthrexiquadritetrex E100#100#100#3#5 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100))))))\)
gigangolquadritetrex E100#100#100#100#5 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100))))\)
greagolquintitetrex E100#100#100#1#6 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 100)))))\)
greagolthrexiquintitetrex E100#100#100#2#6 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 100))))))\)
greagolduthrexiquintitetrex E100#100#100#3#6 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^3 (10\uparrow^3 (10\uparrow^3 100)))))))\)
gigangolquintitetrex E100#100#100#100#6 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 100)))))\)
gigangolchime E1,000#1,000#1,000#1,000 \(10\uparrow^4 1,000\)
gigangoltetrexichime E1,000#1,000#1,000#1,000#2 \(10\uparrow^4 (10\uparrow^4 1,000)\)
gigangoldutetrexichime E1,000#1,000#1,000#1,000#3 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 1,000))\)
gigangoltoll E10,000#10,000#10,000#10,000 \(10\uparrow^4 10,000\)
gigangoltetrexitoll E10,000#10,000#10,000#10,000#2 \(10\uparrow^4 (10\uparrow^4 10,000)\)
gigangoldutetrexitoll E10,000#10,000#10,000#10,000#3 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10,000))\)
gigangolgong E100,000#100,000#100,000#100,000 \(10\uparrow^4 10^5\)
gigangoltetrexigong E100,000#100,000#100,000#100,000#2 \(10\uparrow^4 (10\uparrow^4 10^5)\)
gigangoldutetrexigong E100,000#100,000#100,000#100,000#3 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^5))\)
gigangolbong E100,000,000#100,000,000#

100,000,000#100,000,000

\(10\uparrow^4 10^8\)
gigangoltetrexibong E100,000,000#100,000,000#

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

\(10\uparrow^4 (10\uparrow^4 10^8)\)
gigangoldutetrexibong E100,000,000#100,000,000#

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

\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^8))\)
gigangolthrong E100,000,000,000#100,000,000,000#

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

\(10\uparrow^4 10^{11}\)
gigangoltetrexithrong E100,000,000,000#100,000,000,000#

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

\(10\uparrow^4 (10\uparrow^4 10^{11})\)
gigangoldutetrexithrong E100,000,000,000#100,000,000,000#

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

\(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{11}))\)
geegolchime E1#1#1#1000 \(10\uparrow^4 1000\)
geegoltoll E1#1#1#10,000 \(10\uparrow^4 10000\)
geegolgong E1#1#1#100,000 \(10\uparrow^4 10^5\)
geegolbong E1#1#1#100,000,000 \(10\uparrow^4 10^8\)
geegolthrong E1#1#1#100,000,000,000 \(10\uparrow^4 10^{11}\)
googoltetrex E100#1#1#1#2 \(10\uparrow^4 10^{100}\)
googolplexitetrex E100#2#1#1#2 \(10\uparrow^4 10^{10^{100}}\)
grangoltetrex E100#100#1#1#2 \(10\uparrow^4 (10\uparrow^2 100)\)
grangoldexitetrex E100#100#2#1#2 \(10\uparrow^4 (10\uparrow^2 (10\uparrow^2 100))\)
gigangolplex E(E100#100#100#100) \(10\uparrow (10\uparrow^4 100)\)
gigangoldex E100#(E100#100#100#100) \(10\uparrow^2 (10\uparrow^4 100)\)
gigangolthrex E100#100#(E100#100#100#100) \(10\uparrow^3 (10\uparrow^4 100)\)
ecetontetrex E303#1#1#1#2 \(10\uparrow^4 10^{303}\)
ecetondutetrex E303#1#1#1#3 \(10\uparrow^4 (10\uparrow^4 10^{303})\)
ecetontritetrex E303#1#1#1#4 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303}))\)
ecetonquadritetrex E303#1#1#1#5 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303})))\)
ecetonquintitetrex E303#1#1#1#6 \(10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 (10\uparrow^4 10^{303}))))\)
tria-exaxis E1#1#1#1#3 \(10\uparrow^5 3\)
tetra-exaxis E1#1#1#1#4 \(10\uparrow^5 4\)
deka-exaxis E1#1#1#1#10 \(10\uparrow^5 10\)
hecta-exaxis E1#1#1#1#100 \(10\uparrow^5 100\)
chilia-exaxis E1#1#1#1#1,000 \(10\uparrow^5 1,000\)
myria-exaxis E1#1#1#1#10,000 \(10\uparrow^5 10,000\)

Etymology Edit

Parts of names Meaning
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 \(10^6\)
throng multiply the base value by \(10^9\)
gandingan multiply the base value by \(10^{12}\)

Sources Edit

  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 · Tethraennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentaccthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptathulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment

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