Small dodecahemidodecahedron

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Small dodecahemidodecahedron
Small dodecahemidodecahedron
Type Uniform polyhedron
Elements F=18, E=60, V=30 (χ=-12)
Faces by sides 12{5}+6{10}
Wythoff symbol 5/45 | 5
Symmetry group Ih
Index references U51, C65, W91
Small dodecahemidodecahedron
5.10.5/4.10
(Vertex figure)

Small dodecahemidodecacron
(dual polyhedron)

In geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U51.

Its 30 vertices and 60 edges, along with its 12 pentagonal faces, are shared with the icosidodecahedron.

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