Goppatothplex

The goppatothplex is equal to \(10 \uparrow\uparrow \text{goppatoth} \ \&\ 10\) using the array of operator. The term was coined by Jonathan Bowers.  Higher tetrational-array numbers exist, but none of them were named by Bowers; therefore, it is Bowers' last well-defined named number as tetrational arrays are the last well-defined part of BEAF.
It can also be written as \(\lbrace10,10(((...(((0,1)1)1)...)1)1)2\rbrace\) with \(\frac{\text{goppatoth}}{2}\) pairs of parentheses.
=== Approximations ===
Notation 	Approximation
Bird's array notation 	\(\{10,\frac{\text{goppatoth}}{2} +1 [1 \backslash 2] 2\}\)
Extended Cascading-E notation 	\(\textrm{E}10\#\text{^^}\#101\#2\)
Hyperfactorial Array Notation 	\((101![1,1,1,1,2])![1,1,1,1,2]\)
Fast-growing hierarchy 	\(f_{\varepsilon_0}(f_{\varepsilon_0}(100))\)
Hardy hierarchy 	\(H_{\varepsilon_02}(100)\)
Slow-growing hierarchy (using Buchholz's function)	\(g_{\psi_0(\varepsilon_{\Omega+\psi_0(\varepsilon_{\Omega+1})})}(100)\)
=== Sources ===
===See also===
ja:ゴッパトスプレックス
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:Higher array notation
Category:BEAF
Category:Epsilon level
Category:-plex