Szilassi polyhedron
| Szilassi polyhedron | |
|---|---|
| Type | Toroidal polyhedron |
| Faces | 7 hexagons |
| Edges | 21 |
| Vertices | 14 |
| Euler char. | 0 (Genus 1) |
| Rotation group | axis of 180-degree symmetry |
| Dual polyhedron | Császár polyhedron |
| Properties | non-convex |
In geometry, the Szilassi polyhedron is a nonconvex polyhedron, topologically a torus, with seven hexagonal faces. The tetrahedron and the Szilassi polyhedron are the only two known polyhedra in which each face shares an edge with each other face.