Boogolplex

Boogolplex is equal to {10,10,boogol} or {10,10,{10,10,100}} in BEAF. It is equal to \(10 \uparrow\uparrow ... \uparrow\uparrow10\) in arrow notation, where there are boogol ↑'s. The term was coined by Jonathan Bowers.
Aarex Tiaokhiao calls this number golsolplex or golsol-golsoler and is equal to s(10,s(10,100,1,2),1,2) = s(10,s(10,10,100),1,2) = s(10,10,s(10,10,100)) in strong array notation. Part 1 (LAN) - Aarex's Googology (archived) (retrieved 2017-02-25)
=== Etymology ===
The name of this number is based on the suffix "-plex" and the number "boogol".
===Approximations in other notations===
Notation 	Approximation
Bird's array notation 	\(\{10,10,\{10,10,100\}\}\) (exactly equal)
Hyper-E notation 	\(\textrm{E}100\#\#100\#2\)
Chained arrow notation 	\(10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow 100)\) (exactly equal)
Graham Array Notation 	\([10,10,100,2]\) (exactly equal)
Hyperfactorial array notation	\(12!(12!99)\)
Fast-growing hierarchy 	\(f_{\omega}(f_{\omega}(101))\)
Hardy hierarchy 	\(H_{(\omega^{\omega})2}(101)\)
Slow-growing hierarchy 	\(g_{\varphi(\varphi(99,0),0)}(100)\)
=== Sources ===
=== See also ===
*boogoltriplex
* boogol
* BEAF
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:3 entry linear
Category:Googol series
Category:BEAF
Category:Linear omega level
Category:Boogol series
Category:-plex