Great Moser

Great Moser is equal to 4 inside a Great Mega-gon, where Steinhaus-Moser Notation is used or M(4,M(4,3)-2) or M(3,Great Mega-2) in Hyper-Moser notation. The number was invented by Aarex Tiaokhiao. Formally:

\begin{eqnarray*} S_3(n) &=& n^n \\ S_{k + 1}(n) &=& S_k^n(n) \\ \text{Grand Moser} &=& S_{S_5(4)}(4) \\ \end{eqnarray*}