Uniform star polyhedron with 18 faces
3D model of a small dodecahemidodecahedron
In geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U51. It has 18 faces (12 pentagons and 6 decagons), 60 edges, and 30 vertices.[1] Its vertex figure alternates two regular pentagons and decagons as a crossed quadrilateral.
It is a hemipolyhedron with six decagonal faces passing through the model center.
It shares its edge arrangement with the icosidodecahedron (its convex hull, having the pentagonal faces in common), and with the small icosihemidodecahedron (having the decagonal faces in common).
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Kepler-Poinsot
polyhedra (nonconvex
regular polyhedra) | |
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Uniform truncations
of Kepler-Poinsot
polyhedra | |
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Nonconvex uniform
hemipolyhedra | |
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Duals of nonconvex
uniform polyhedra | |
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Duals of nonconvex
uniform polyhedra with
infinite stellations | |
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