Szilassi polyhedron

Szilassi polyhedron
TypeToroidal polyhedron
Faces7 hexagons
Edges21
Vertices14
Euler char.0 (Genus 1)
Vertex configuration6.6.6
Symmetry groupC1, [ ]+, (11)
Dual polyhedronCsászár polyhedron
PropertiesNon-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.


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