Szilassi polyhedron
| Szilassi polyhedron | |
|---|---|
| Type | Toroidal polyhedron | 
| Faces | 7 hexagons | 
| Edges | 21 | 
| Vertices | 14 | 
| Euler char. | 0 (Genus 1) | 
| Vertex configuration | 6.6.6 | 
| Symmetry group | C1, [ ]+, (11) | 
| 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.