6 May
2020
6 May
'20
4:38 p.m.
On Wed, May 6, 2020 at 3:56 PM Colin Wright <maths@solipsys.co.uk> wrote:
Consider the stellated dodecahedron. In the usual, obvious, trivial sense that has 60 faces. But in a more relaxed sense we could consider it to have 12 mutually intersecting faces, each of which is a pentagram.
Using V - E + F = 2 - 2g, the small stellated dodecahedron has genus 4, so it's doing both. This link seems relevant: https://en.wikipedia.org/wiki/Isotoxal_figure -- Mike Stay - metaweta@gmail.com http://math.ucr.edu/~mike https://reperiendi.wordpress.com