Skeletons of polyhedral figures

The skeleton of a polyhedron is the geometric graph formed by its vertices and edges. It is also called the 1-skeleton of the polyhedron. The skeleton captures the connectivity of the polyhedron, ignoring the faces.

Important properties

• The skeleton is a graph: vertices are points, edges are straight segments.

• The skeleton determines how the polyhedron's faces are connected.

• Different polyhedra can have the same skeleton if their connectivity is the same.

• The skeleton can be used to study properties like Euler's formula: $V - E + F = 2$ for convex polyhedra.