For any convex polyhedron, V − E + F = 2. More generally χ = V − E + F is the Euler characteristic of the underlying 2-sphere, and χ = 2 − 2g on a closed orientable surface of genus g. Verified on all 5 Platonic solids plus Archimedean…
For any convex polyhedron, V − E + F = 2. More generally χ = V − E + F is the Euler characteristic of the underlying 2-sphere, and χ = 2 − 2g on a closed orientable surface of genus g. Verified on all 5 Platonic solids plus Archimedean…