I'd bet it's the same beauty.

The reason why we can apply any definition, say for instance 'the number 12', is because it fits the pattern. We may not know on surface seeing 144 things is 12 groups of 'them', but it is indeed the groupings in which we are lookiing for to recognize their pattern. This, of course, doesn't explain why I'd rather draw beauty from 144 broken up into 10 groups of eleven plus two groups of 13 plus a single group of five, and then just not count the remaining 2, but.