Small icosihemidodecahedron

Small icosihemidodecahedron
Type	Uniform star polyhedron
Elements	F = 26, E = 60 V = 30 (χ = −4)
Faces by sides	20{3}+6{10}
Coxeter diagram	(double covering)
Wythoff symbol	3/2 3 | 5 (double covering)
Symmetry group	Ih, [5,3], *532
Index references	U49, C63, W89
Dual polyhedron	Small icosihemidodecacron
Vertex figure	3.10.3/2.10
Bowers acronym	Seihid

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

Its shares the same edge arrangement, along with its 20 triangular faces, with the icosidodecahedron.

It is a hemipolyhedron with 6 decagonal faces passing through the model center.

See also

• Hemi-dodecahedron - The six vertices at infinity correspond directionally to the six vertices of this abstract polyhedron.

External links

• Weisstein, Eric W. "Small icosihemidodecahedron". MathWorld.