Mathematics hasn't been philosophy for 1000's of years Kirby, and in preparation to my reponse to Richard, Physics hasn't been philosophy for 100's of years.
You say that you put something out there that is unfamiliar and thus I dismiss it. I would say that what you posted is all too familiar and thus my analysis. Well, except for this obssession you have with polyhedra, and I have said before that I can't hook up on that one at all. But your want to regress and philosophize math again is pretty darn apparent.
Why would we regress? Do you understand that math, and all the sciences for that matter, divorced themselves from philosophy over the centuries because they outgrew philosophy? Well, except for psychology, it is still too far out of reach.