Polyhedral Surfaces

Polyhedral surfaces appear in a variety of discrete notions such as simplicial or cell complexes, circle packings, or finite element meshes. Although polyhedral surfaces often appear as discrete approximations of topological two-manifolds this section focuses on their discrete properties.


  1. A.D. Aleksandrov, V.A. Zalgaller: Intrinsic Geometry of Surfaces, AMS (1967).

Technical Note

As a guide, meshes should have no holes, no degenerate triangles and elements, no duplicate vertices. Surfaces should have meshes with an adjacency relation.