The grand tethratope is equal to E100#^^#^#100#2 = E100#^^###...(tethratope #'s)...####100 in Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Etymology

The name of this number is based on the prefix "grand" and the number "tethratope".

Approximations in other notations

Notation Approximation
BEAF \(\{100,3,2 (\{X,X,X\}) 2\}\) (weak bound)

\(\{100,3,2 (X \uparrow \uparrow X \uparrow X) 2\}\) (strong bound)[2]

Fast-growing hierarchy \(f_{\varphi(\omega,0)}(f_{\varphi({100},0)}(99))\)
Hardy hierarchy \(H_{\varphi(\omega,0)*2}(100)\)

Sources

  1. Saibian, Sbiis. 4.3.9 - Extended Cascading-E Numbers Part III. Retrieved 2017-01-10.
  2. Using particular notation \(\{a,b (X \uparrow\uparrow X) 2\}\) for \(X \uparrow\uparrow b\ \&\ a\).
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