Tethrarxitet

Tethrarxitet (also called tethrato-tethrato-tethrathoth) is equal to E100#^^^#4 = E100#^^#^^#^^#100 in Extended Cascading-E Notation. The term was coined by Sbiis Saibian.
== Etymology ==
The name "tethrarxitet" is based on the number tethrathoth, "arx-" meaning "citadel" in Latin, and "tet", from the prefix "tetra", meaning four.
The name "tethrato-tethrato-tethrathoth" is based on the "tethrato-" operator and the number tethrato-tethrathoth.
== Approximations in other notations ==
Notation 	Approximation
BEAF (intended) 	\(\{X, X, \{X, X, X\ \uparrow\uparrow\ X\}\}\ \&\ 100\) (non-climbing)
\(X \uparrow\uparrow\ X \uparrow\uparrow\ X \uparrow\uparrow X\ \&\ 100\) (climbing)
Bird's array notation 	\(\{100,101 [1 [1 [1 \backslash 2 \neg 2] 2 \neg 2] 2] 2\}\) (Nested Hyper-nested Array Notation)
\(\{100,101 [1 [1 [1 [1 [1 \backslash 2] 2 \neg 2] 2] 2 \neg 2] 2] 2\}\) (Hierarchial Hyper-nested Array Notation)
Fast-growing hierarchy	\(f_{\varphi(\varphi(\varepsilon_0,0),0)}(99)\)
Slow-growing hierarchy (using this system
of fundamental sequences)	\(g_{\psi_0(\Omega_2^{\psi_1(\Omega_2^{\psi_1(\Omega_2)})})}(100)\)
== Sources ==
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Extended Cascading-E numbers
Category:Binary phi level
Category:Tethratope series