Geegol

Geegol is equal to \(\{10,100,4\}\) in BEAF, or 10 hexated to 100. It can also be written as 10{4}100 in the bracket-operator notation. In up-arrow notation, this number is written as \(10 \uparrow\uparrow\uparrow\uparrow 100\). The term was coined by Jonathan Bowers.
This number is also called hecta-petaxis (formerly hecta-petaksys) by Sbiis Saibian, and it's equal to E1#1#1#100 in Hyper-E notation.
Username5243 calls this number Tetoogol, and it's equal to 10[4]100 in Username5243's Array Notation.
It can be computated in the following process:
Stage 1: 10
Stage 2: 10^10^...10^10 with Stage 1 10s
Stage 3: 10^10^...10^10 with Stage 2 10s
......
Geegol is Stage Stage ...... Stage Stage 1 with 100 stages.
== Approximations ==
Notation 	Approximation
Up-arrow notation 	\(10 \uparrow\uparrow\uparrow\uparrow 100\) (exact)
Bird's array notation 	\(\{10,100,4\}\) (exact)
Hyper-E notation 	\(\textrm{E}1\#1\#1\#100\) (exact)
Steinhaus-Moser Notation 	100[6]
Chained arrow notation 	\(10 \rightarrow 100 \rightarrow 4\) (exact)
Hyperfactorial array notation	\(102!3\)
Strong array notation 	s(10,100,4) (exact)
Fast-growing hierarchy 	\(f_5(100)\)
Hardy hierarchy 	\(H_{\omega^5}(100)\)
Slow-growing hierarchy 	\(g_{\eta_0}(100)\)
== Sources ==
== See also ==
ja:ギーゴル
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:Up-arrow notation level
Category:3 entry linear
Category:Googol series
Category:BEAF
Category:Greagol regiment