Small icosihemidodecahedron

Small icosihemidodecahedron
TypeUniform star polyhedron
ElementsF = 26, E = 60
V = 30 (χ = 4)
Faces by sides20{3}+6{10}
Wythoff symbol3/2 3 | 5 (double covering)
Symmetry groupIh, [5,3], *532
Index referencesU49, C63, W89
Dual polyhedronSmall icosihemidodecacron
Vertex figure
3.10.3/2.10
Bowers acronymSeihid

In geometry, the small icosihemidodecahedron is a uniform star polyhedron, indexed as U49. Its vertex figure alternates two regular triangles and decagons as a crossed quadrilateral.

It is given a Wythoff symbol, 3/2 3 | 5, but that construction represents a double covering of this model.

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

Related polyhedra

It shares its edge arrangement with the icosidodecahedron (its convex hull, having the triangular faces in common), and with the small dodecahemidodecahedron (having the decagonal faces in common).


Icosidodecahedron

Small icosihemidodecahedron

Small dodecahemidodecahedron

See also

External links

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