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 | \(6\rightarrow 6\rightarrow 6\rightarrow 3\) |
Extended Hyper-E notation | E[6]6##6#6#6 |
BEAF | \(\{6,6,2,2\}\) |
Hyperfactorial array notation | \(8![3]\) |
Notation Array Notation | \((6\{3,4\}3)\) |