If every black pentagon shares a face with 5 hexagons, and every white hexagon shares a face with 3 pentagons, can you determine the ratio of hexagons to pentagons?
(I haven't solved this problem, but I think it is doable.)
Tip: Count the edges. Imagine each edge has two sides/ribons. One side/ribon is white and the other is black.
Tip: Count the edges. Imagine each edge has two sides/ribons. One side/ribon is white and the other is black.