Mouffles Monster

Mouffles Monster (so named by Sbiis Saibian) is cgG64(G64).Sbiis Saibian, Ultimate Large Numbers List Part II It is the 20th record setting entry in the "My number is bigger!" competition.xkcd forums - My number is bigger! It is defined using the cg(x) function defined by Conway and Guy using chained arrow notation:
\(cg(1) = 1\)\(cg(2) = 2 \rightarrow 2\)\(cg(3) = 3 \rightarrow 3 \rightarrow 3\)and in general\(cg(n) = n \rightarrow n \rightarrow n \rightarrow . . . \rightarrow n \rightarrow n \rightarrow n\) with \(n\) \(n\)'s
Mouffles Monster = cgGraham's Number(Graham's Number) - the exponent indicates iteration of the cg function. Because \(cg(n)\approx f_{\omega^2}(n)\), then Mouffles Monster is approximately \(f_{\omega^2+1}(G_{64})\) using the fast-growing hierarchy.
==See also==
*Graham's number
==Sources==
Category:Numbers
Category:Powers of 3
Category:Quadratic omega level