In geometry, the rhombicosahedron is a nonconvex uniform polyhedron, indexed as U₅₆. It has 50 faces (30 squares and 20 hexagons), 120 edges and 60 vertices. Its vertex figure is an antiparallelogram.

Related polyhedra

A rhombicosahedron shares its vertex arrangement with the uniform compounds of 10 or 20 triangular prisms. It additionally shares its edges with the

rhombidodecadodecahedron In geometry, the rhombidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U38. It has 54 faces (30 squares, 12 pentagons and 12 pentagrams), 120 edges and 60 vertices. It is given a Schläfli symbol t0,2, and by the Wythoff const ...

(having the square faces in common) and the icosidodecadodecahedron (having the hexagonal faces in common).

Rhombicosacron

The rhombicosacron is a nonconvex isohedral polyhedron. It is the

dual Dual or Duals may refer to: Paired/two things * Dual (mathematics), a notion of paired concepts that mirror one another ** Dual (category theory), a formalization of mathematical duality *** see more cases in :Duality theories * Dual (grammatical ...

of the uniform rhombicosahedron, U₅₆. It has 50 vertices, 120

edges Edge or EDGE may refer to: Technology Computing * Edge computing, a network load-balancing system * Edge device, an entry point to a computer network * Adobe Edge, a graphical development application * Microsoft Edge, a web browser developed by ...

, and 60 crossed-quadrilateral faces.

References

External links

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Uniform polyhedra and duals
Uniform polyhedra {{polyhedron-stub