Southern Hospitality wrote:

I did some research on this and I don't think it's Kepler but more like
Archimedes or Euclid (or any of the other hundred or so geometers of the
past).

Your saying the source was hundreds of years old (rather than
thousands) made me think of Kepler. The simplest polyhedra are named
"Platonic" (the five fully regular solids) and "Archimedean" (IIRC
there are fourteen of these, having two kinds of regular faces,
meeting in the same pattern at every apex), but I don't know the
details of their sequence of discovery or who first described the
individual members. Otherwise I'd associate the sort of mingling of
geometry and metaphysics your comment suggests with the Pythagoreans.

--
Odysseus