Tridecal

Tridecal is equal to \(\lbrace10,10,10 \rbrace\), \(10\lbrace\lbrace1\rbrace\rbrace 2\) or \(10\lbrace10\rbrace10\) (10 dodecated to 10) in BEAF or 3 & 10, using the array of operator. The term was coined by Jonathan Bowers.
In up-arrow notation, the number is equal to \(10 \uparrow^{10} 10 = 10 \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow 10\).
Tridecal is the tenth Ackermann number.
The term "Infinity Scraper", defined by Jonathan Bowers, refers to any number larger than tridecal.
Sbiis Saibian gave this number another name, deka-endekaxishttps://sites.google.com/site/largenumbers/home/4-3/4-3-2-hyper-e-numbers
Aarex Tiaokhiao calls this number doclsol and is equal to s(10,10,1,2) = s(10,10,10) in strong array notation.
BlankEntity coined Void Stand for this number. 
ARsygo coined googondo decker for this number.AR Googol - Numbers from BEAF. Retrieved 2022-12-14.
SeveralLegend9998 coined dia-expanxis for this number.SeveralLegend9998's New Googology Series (Retrieved 2024-06-04)
===Etymology===
The name of this number is based on tri- (three) and decal- (ten), meaning that there are 3 10's in the array.
===Approximations in other notations===
Notation 	Approximation
Up-arrow notation 	\(10 \uparrow^{10} 10\) (exact)
Chained arrow notation 	\(10 \rightarrow 10 \rightarrow 10\) (exact)
Hyperfactorial array notation	\(12!9\)
Hyper-E Notation 	E1#1#1#1#1#1#1#1#1#10 (exact)
Strong array notation 	\(s(10,10,10) = s(10,10,1,2)\) (exact)
Fast-growing hierarchy 	\(f_{11}(9)\)
Hardy hierarchy 	\(H_{\omega^{11}}(9)\)
Slow-growing hierarchy 	\(g_{\varphi(9,0)}(9)\)
=== Sources ===
=== See also ===
1. grand tridecal
ja:トリデカル
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:Up-arrow notation level
Category:3 entry linear
Category:BEAF
Category:Greek-based name