Gaggol

Gaggol is equal to \(\{10,100,3\}\) in BEAF, or 10 pentated to 100. In tetra-tower form, it is equal to 1010...1010, with 100 tens. The term was coined by Jonathan Bowers.
This number is also called hecta-taxis (formerly hecta-teraksys) by Sbiis Saibian, and it's equal to E1#1#100 in Hyper-E Notation.
Username5243 calls this number Toogol, and it's equal to 10[3]100 in Username5243's Array Notation.
DeepLineMadom calls this number quidoogol, and it's equal to 10[5]100 using DeepLineMadom's Array Notation.DeepLineMadom's googology - Numbers I've coined (Retrieved 4 May 2022)
Written out in decimal expansion, gaggol is 1 followed by \(10 \uparrow\uparrow (10 \uparrow\uparrow\uparrow 99 - 1)\) zeroes, using Knuth's up-arrow notation.
==Approximations==
Notation 	Approximation
Arrow Notation 	\(10\uparrow\uparrow\uparrow100\) (exact)
Bird's array notation 	\(\{10,100,3\}\) (exact)
Hyper-E notation 	\(\textrm E1\#1\#100\) (exact)
Chained arrow notation 	\(10 \rightarrow 100 \rightarrow 3\) (exact)
Hyperfactorial array notation	\(102!2\)
Nested Factorial Notation 	\(100![3]\)
Fast-growing hierarchy 	\(f_4(98)\)
Hardy hierarchy 	\(H_{\omega^4}(100)\)
Slow-growing hierarchy 	\(g_{\zeta_0}(100)\)
==Visual representations==
Gaggol.jpg|Visualisation using powers
Gaggoltower.jpg|Visualisation using powers
Gaggol2.jpg|Visualisation using zeroes
Gaggol.png|Visualisation using multiplications
File:Gaggolmult2.png|A different way to visualize gaggol
Gaggol in tetration.png|Visualisation using tetration
==Sources==
==See also==
nl:Gaggol
ja:ギャゴル
ru:Гаггол
zh:Gaggol
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:Up-arrow notation level
Category:3 entry linear
Category:Numbers by Sbiis Saibian
Category:Googol series
Category:BEAF
Category:Pentation
Category:Toogol Regiment