Small rhombidodecahedron


In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39. It has 42 faces, 120 edges, and 60 vertices. Its vertex figure is a crossed quadrilateral.

Related polyhedra

It shares its vertex arrangement with the small [stellated truncated dodecahedron] and the uniform compounds of 6 or compound of [twelve pentagrammic prisms|12 pentagrammic prisms]. It additionally shares its edge arrangement with the rhombicosidodecahedron, and with the small dodecicosidodecahedron.
Image:Small [rhombicosidodecahedron.png|100px]
Rhombicosidodecahedron		100px
Small dodecicosidodecahedron		100px
Small rhombidodecahedron
Image:Small stellated [truncated dodecahedron.png|100px]
Small stellated truncated dodecahedron		Image:UC36-6 pentagrammic [prisms.png|100px]
Compound of six pentagrammic prisms		100px
Compound of twelve pentagrammic prisms


Small rhombidodecacron

The small rhombidodecacron is a nonconvex isohedral polyhedron. It is the dual of the small rhombidodecahedron. It is visually identical to the Small dodecacronic hexecontahedron. It has 60 intersecting antiparallelogram faces.