PolyhedronGenus

PolyhedronGenus[poly] gives the genus of the polyhedron poly.

The genus is a topological property that counts the number of "handles" on a surface.

Examples

PolyhedronGenus[PolyhedronData["Cube"]]

PolyhedronGenus[PolyhedronData["Torus"]]

PolyhedronGenus[ConvexHullMesh[RandomPoint[Sphere[], 20]]]

*See the official Wolfram Language Reference for more details.