Ginorgol regiment

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).Sbiis Saibian, 4.3.2 - Hyper-E Numbers 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#100,000,000w/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#2w/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#100,000,000,000w/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#2w/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 ==
Category:Saibian's regiments
Category:Numbers by Sbiis Saibian
Category:Numbers
Category:Series
Category:Up-arrow notation level