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# Szilassi polyhedron

### Szilassi polyhedron

This special concave polyhedron was named after a Hungarian mathematician.

Mathematics

Keywords

Szilassi polyhedron, polyhedrons, face, vertex, edge, neighbouring faces, solids, geometry, mathematics

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### Scenes ### Szilassi solid

This special solid was invented by Hungarian mathematician Lajos Szilassi.

It is a polyhedron, i.e. it only consists of polyhedral faces.

Its distinctive feature is that, - according to current knowledge, - with the exception of the tetrahedron, it is the only polyhedron whose any two faces are adjacent, i.e. they share a common vertex. ### Faces

Number of faces: 7 (hexagonal)
Number of vertices: 14
Number of edges: 21

It is not convex. (A convex polyhedron is a polyhedron whose every point lies in one of the half-spaces determined by the plane of each of its faces.)

It is not simple. It is the dual polyhedron of the Császár polyhedron.

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