The tethrahexon is equal to E100#^^#^#6 = E100#^^######100 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Etymology[]
The name of this number is based on the number tethrathoth and the root "ecton" from "polyecton". Polyecton is the name for a 7-dimensional figure and 7-D figures are constructed from multiple 6-D figures (hence the "poly"), so a "ecton" can be considered a 6-dimensional figure.
Approximations in other notations[]
Notation | Approximation |
---|---|
BEAF | \(X \uparrow^7 101\ \&\ 100\) |
Bird's array notation | \(\{100,7 [1 [2 \neg 2] 2] 2\}\) |
Hyperfactorial array notation | \(100![1] w/9\) |
Fast-growing hierarchy | \(f_{\varphi(6,0)}(99)\) |
Hardy hierarchy | \(H_{\varphi(6,0)}(100)\) |
Slow-growing hierarchy | \(g_{\vartheta(\varphi(6,\Omega+1))}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.3 - Forging Extended Cascading-E Numbers Part I. Retrieved May 2, 2014.