Boogasix

Boogasix is equal to \(6\uparrow\uparrow\uparrow\uparrow6\), or six hexated to 6.2.5A. Googological prefixes and suffixes Retrieved 2021-07-22.
Googology Wiki user Hyp cos call this number hexteto, and it's equal to s(6,6,4) = s(6,2,5) = s(6,4,1,2) in strong array notation.Numbers from linear array notation | Steps Toward Infinity!
Boboris02 calls this number Hexar, which also equals \(Q_{1,0}(6)=Q_{6}(6)\) in the Q-supersystem.Q-numbers - Beyond and beyond
Googology Wiki user HaydenTheGoogologist2009 calls this number Hayden's Trihex, and it's equal to 6(6)6 in Hayden's Array Notation.Hayden's Big Numbers. Retrieved 2022-04-20.
==Etymology==
The name "boogasix" is formed by applying the booga- prefix to 6.
The name "hexteto" is based on the word "hexa" and "tetra" (Greek for 6 and 4), meaning a base-6 number, generated using hyper-4 operation based on exponentiation.
The name "Hexar" comes from the greek word "hexa" meaning six and the suffix "-ar".
==Computation==
Boogasix can be computed in the following process:
*\(f(1)=6\)
*\(f(2)=6^{6^{6^{6^{6^6}}}}\) with f(1) 6's, a.k.a. megafugasix
*\(f(3)=6^{6^{\vdots^{6^6}}}\) with f(2) 6's
*\(f(4)=6^{6^{\vdots^{6^6}}}\) with f(3) 6's
*etc.
*Boogasix equals \(f(f(f(f(f(6)))))\).
==Approximations==
==Sources==
==See also==
Category:Numbers
Category:Up-arrow notation level
Category:Powers of 6
Category:3 entry linear
Category:Booga-