The corporalplex is equal to {10,corporal,1,2} = 10{10{⋯{10}⋯}10}10, where there are corporal 10's from the center out in BEAF.[1]
Corporalplex can be computed in the following process, as similar as a corporal:
- \(a_1 = 10\)
- \(a_2 = 10 \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow 10 \) (this is tridecal)
- \(a_3 = 10 \uparrow\uparrow\uparrow\uparrow\cdots\uparrow\uparrow\uparrow\uparrow 10 \) with \(a_2\) \(\uparrow\)'s.
- \(a_4 = 10 \uparrow\uparrow\uparrow\uparrow\cdots\uparrow\uparrow\uparrow\uparrow 10 \) with \(a_3\) \(\uparrow\)'s.
- etc.
- Corporalplex is equal to \(a_{a_{100}}\) or \(a_{\text{corporal}}\).
Visual representation of a corporalplex in up-arrow notation
Approximations
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{10,\{10,100,1,2\},1,2\}\) (exact) |
| Chained arrow notation | \(10 \rightarrow 10 \rightarrow \text{corporal} \rightarrow 2\) |
| Hyper-E notation | \(E10\#\#10\#100\#2\) |
| X-Sequence Hyper-Exponential Notation | \(10\{X+1\}10\{X+1\}100\) (exact) |
| Fast-growing hierarchy | \(f_{\omega +1}(f_{\omega +1}(100))\) |
| Hardy hierarchy | \(H_{(\omega^\omega) \text{corporal} }(10)\) |
| Slow-growing hierarchy | \(g_{\Gamma_{\Gamma_0} }(10)\) |
Sources
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.