Joyce's pentatri is equal to \(\text g(3,1,1,4,3,3)\) in Joyce's More Generalized Exponential Notation.[1][2] The value was created by Andre Joyce as a failed attempt to define the Bowersism pentatri, which is even larger. In arrow notation, it is equal to 3^^^^(Joyce's tetratri-1 ^'s)^^^^^3. This number is closer to tritriplexian.
Approximations[]
| Notation | Approximation |
|---|---|
| Bowers' Exploding Array Function | {3,3,{3,3,{3,3,3}-1}-1} (exact) |
| Chained arrow notation | 3→3→3→2 |
| Hyper-E notation | E3##3#3 |
| Fast-growing hierarchy | \(f^2_{\omega}(f_4(3))\) |
| Hardy hierarchy | \(H_{\omega^{\omega}\times 2 + \omega^4}(3)\) |
| Slow-growing hierarchy | \(g_{\Gamma_0}(3)\) |
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 pentatri