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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 \(\{X,X,100,2\}\ \&\ 100\) (weak bound)

\(\{X,\{X,100\},3\}\ \&\ 100\) (strong bound)

Bird's array notation \(\{100,100[1 [1 \neg 3] 1 [2 \neg 2] 2]2\}\)
Hyperfactorial array notation \(100![1(1)1]w/101\)
Fast-growing hierarchy \(f_{\varphi(1,99,0)}(99)\)
Hardy hierarchy \(H_{\varphi(1,99,0)}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega_2+\vartheta_1(\Omega_2+99))}(100)\)

Sources

  1. Saibian, Sbiis. 4.3.4 - Forging Extended Cascading-E Numbers Part II. Retrieved June 6, 2014.