- Not to be confused with Joycian tetratri.
Joyce's tetratri is equal to \(\text g(2,1,1,4,3,3)\) in Joyce's More Generalized Exponential Notation.[1][2] The value was created by Andre Joyce as a failed attempt to define the Bowersism tetratri, which is much larger. In arrow notation, it is equal to 3^^^^(3^^^3-1 ^'s)^^^^^3. This number is closer to tritriplex.
Approximations[]
Notation | Approximation |
---|---|
Bowers' Exploding Array Function | {3,3,{3,3,3}-1} (exact) |
Hyper-E notation | E3##3#2 |
X-Sequence Hyper-Exponential Notation | 3{X}(3{X}3-1) |
Fast-growing hierarchy | \(f_{\omega}(f_4(3))\) |
Hardy hierarchy | \(H_{\omega^{\omega}+\omega^4}(3)\) |
Slow-growing hierarchy | \(g_{\varphi(\zeta_0,0)}(3)\) |
Sources[]
- ↑ Pointless Gigantic List of Numbers Part 4: (order type w to w^w). Pointless Large Number Stuff. Retrieved 2021-07-25.
- ↑ The old webpage that lists tetratri