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Aside from its style, this seems like a valid criticism. How trivial can a permutation be and still be sufficiently interesting for someone to (justifiably) slap his name on it? That said, this was still a nice read and the guy is obviously having fun with it, so good for him.

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In this case the change is significant. If you just cut squares you can do quite a bit and it leads to significant ideas related to continued fractions, but you will only get finite continued fractions (rational numbers) and periodic ones (quadratic numbers). Cutting rectangles and squares can give higher degree algebraic numbers, like the cubic number for the main spiral. I am working on a porrf that you can get all algebraic numbers.

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