The tethrato-tethrathoth (also called tethrarxitri) is equal to E100#^^#^^#100 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Etymology
The name "tethrato-tethrathoth" is based on the "tethrato-" operator and tethrathoth.
The name "tethrarxitri" is based on the number tethrathoth, "arx-" meaning "citadel" in Latin, and "tri" meaning three.
Approximations in other notations
| Notation | Approximation |
|---|---|
| BEAF | \(\{X,X,X \uparrow\uparrow X\}\ \&\ 100\) |
| Bird's array notation | \(\{100,101 [1 [1 \backslash 2 \neg 2] 2] 2\}\) |
| Hyperfactorial array notation | \(100![1] w/[1,1,1,1,1,1,2]\) |
| Fast-growing hierarchy | \(f_{\varphi(\varepsilon_0,0)}(99)\) |
| Hardy hierarchy | \(H_{\varphi(\varepsilon_0,0)}(100)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\vartheta_1(\varepsilon_{\Omega+1}))}(100)\) |
Sources
- ↑ Saibian, Sbiis. 4.3.3 - Forging Extended Cascading-E Numbers Part I. Retrieved May 18, 2014.