Visual representation of pentacthultope
The pentacthultope (also called pentacthulhecton) is equal to E100#^^^#^#100 (the expression is not to be confused with penthrathoth) = E100#^^^###...###100 (with 100 #'s on the right of ^^^) in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Etymology[]
The name "pentacthultope" is based on the number pentacthulhum and the root "tope" from "polytope".
The name "pentacthulhecton" is based on the number pentacthulhum and the root "hecton", meaning a 100-dimensional figure.
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| BEAF (Intended) | \(\{X,X,X,2\}\ \&\ 100\) (weak bound)
\(\{X,\{X,X\},3\}\ \&\ 100\) (strong bound) |
| Bird's array notation | \(\{100,100[1 [1 \neg 3] 1 [2 \neg 2] 2]2\}\) (Nested Hyper-nested Array Notation)
\(\{100,100[1 [1 \backslash 2 \neg 2] 1 [2 \neg 2] 2]2\}\) (Hierarchial Hyper-nested Array Notation) |
| Hyperfactorial array notation | \(100![1(1)1]w/101\) |
| Fast-growing hierarchy (with this system of fundamental sequences) | \(f_{\varphi(1,\omega,0)}(99)\) |
| Hardy hierarchy | \(H_{\varphi(1,99,0)}(100)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\Omega_2+\vartheta_1(\Omega_2+99))}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.4 - Forging Extended Cascading-E Numbers Part II. Retrieved June 6, 2014.