Gaggolplex

Gaggolplex is equal to {10,gaggol,3} in BEAF, or 10 pentated to gaggol. The term was coined by Jonathan Bowers.
This number is also called hectataxia-taxis by Sbiis Saibian, and it's equal to E1#1#gaggol = E1#1#100#2 in Hyper-E notation.Sbiis Saibian, Hyper-E Numbers - Large Numbers It's also called gaggolthrex by Aarex Tiaokhiao.Part 1 (LAN) - Aarex Googology
Username5243 calls this number toogolplex or toogoltrex, and it's equal to 10[3]10[3]100 in Username5243's Array Notation.Part 1 - My Large Numbers
DeepLineMadom calls this number quidoogolplex, and it's equal to 10[5]10[5]100 using DeepLineMadom's Array Notation.DeepLineMadom's googology - Numbers I've coined (Retrieved 4 May 2022)
== Computation ==
The number can be computed as follows:
# Let N1 be 10.
# Let N2 be  where there are N1 tens.
# Let N3 be where there are N2 tens.
# Continue in this fashion.
# Gaggolplex is N(N(100)).
== Etymology ==
The name of the number is based on suffix -plex and the number gaggol.
== Approximations ==
Notation 	Approximation
Up-arrow notation 	\(10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 100\) (exact)
Hyper-E notation 	\(\textrm E1\#1\#100\#2\) (exact)
Chained arrow notation 	\(10 \rightarrow (10 \rightarrow 100 \rightarrow 3) \rightarrow 3\) (exact)
Hyperfactorial array notation 	\((102!2)!2\)
Taro's multivariable Ackermann function	A(5,A(5,99))
Fast-growing hierarchy 	\(f_4(f_4(100))\)
Hardy hierarchy 	\(H_{(\omega^4) 2}(100)\)
Slow-growing hierarchy 	\(g_{\zeta_{\zeta_0}}(100)\)
== Sources ==
== See also ==
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:Up-arrow notation level
Category:3 entry linear
Category:Googol series
Category:BEAF
Category:Toogol Regiment