# SurfaceGenusAfterFeatures

## Semantic definition

The Surface Genus of the evaluated representation items after applying product-level geometric features such as openings and projections.

Surface Genus is a topological measure that represents the number of "holes" or "handles" on a surface. For example, a sphere has genus 0, and a torus has genus 1.

Computed using the Euler characteristic:

$$\chi=V-E+F$$

With the numbers of vertices (V), edges (E) and faces (F)

$$\chi=2−2g−b$$

With surface genus (g) and the number of boundaries (b) the latter zero in case of an enclosed volume.