Mouffles Monster

Mouffles Monster is cgG64(G64) .This is the 20th record setting entry in the "My Number is Bigger" competition. It is also the first record setter on page 2. It was entered by Mouffles in response to Gmalivuk's chain-arrow entry. In order to describe it we need a new function. Let...

cg(1) = 1 cg(2) = 2-->2 cg(3) = 3-->3-->3 and in general cg(n) = n-->n-->n--> ... ... -->n-->n-->n w/n n's

Mouffles Monster = cgGraham's Number(Graham's Number)

Note that Mouffles has simply created the "cg" function first described by Conway and Guy in the Book of Numbers. At this point chain-arrows are no longer competitive. Despite the terrific leap forward, in the larger recursive scheme of things this nesting of cg(n) only leads to an increase of an order-type or two from Chain-arrows which is already of order-type w^2. This means nesting cg(n) falls around w^2+2. I've estimated that it falls between a thrangol and a threagol. At this point all the popular large number notations are exhausted, so the contestants are forced to either start inventing notations or pull something more esoteric from the professional literature such as FGH.