A polyhedron of genus 3
A polyhedron that represents a surface of genus 3. Surfaces of genus 3 can be visualized as doughnuts with 3 holes or as spheres with 3 handles.
In this polyhedron Euler’s relation doesn’t hold, instead we have Vertices - Edges + Faces = -4.
© matematita
The image belongs to the sections...:
Polyhedra of positive genus (3D geometry)
Other surfaces (Topology)