Small icosihemidodecahedron

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Small icosihemidodecahedron
Small icosihemidodecahedron
Type Uniform polyhedron
Elements F=26, E=60, V=30 (χ=-4)
Faces by sides 20{3}+6{10}
Wythoff symbol 3/23 | 5
Symmetry group Ih
Index references U49, C63, W89
Small icosihemidodecahedron
3.10.3/2.10
(Vertex figure)

Small icosihemidodecacron
(dual polyhedron)

In geometry, the Small icosihemidodecahedron is a nonconvex uniform polyhedron, indexed as U49.

Its 30 vertices and 60 edges, along with its 20 triangular faces, are shared with the icosidodecahedron.

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