Boogasix

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.^[1]

Boboris02 calls this number Hexar, which also equals \(Q_{1,0}(6)=Q_{6}(6)\) in the Q-supersystem.^[2]

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

1. ↑ Numbers from linear array notation | Steps Toward Infinity!
2. ↑ Q-numbers - Beyond and beyond

See also