Gulgol regiment

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).Sbiis Saibian, 4.3.2 - Hyper-E Numbers 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 ==
Category:Saibian's regiments
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Series
Category:Up-arrow notation level