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Trihexar is equal to \(Q_{1,2}(6)\) in the Q-supersystem.[1] The term was coined by Boboris02.

The number can be computed like this:

  • \(t_{1}=6\uparrow\uparrow\uparrow\uparrow 6\), aka Hexar.
  • \(t_{n}=6\uparrow^{t_{n-1}-2} 6\).
  • Trihexar is equal to \(t_{t_{t_{t_{t_{t_6}}}}}\).

Etymology

The name of the number comes from the greek word "tri" meaning three and the number "Hexar".

Approximations

Notation Approximation
Fast-growing hierarchy \(f_{\omega+2}(6)\)
Hardy hierarchy \(H_{\omega^{\omega+2}}(6)\)
Chained arrow notation \(6\rightarrow 6\rightarrow 6\rightarrow 3\)
BEAF \(\{6,6,2,2\}\)
Hyperfactorial array notation \(8![3]\)
Notation Array Notation \((6\{3,4\}3)\)

Sources

  1. Q-numbers - Beyond and beyond
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