Small dodecahemicosahedron
{{Short description|Polyhedron with 22 faces}}
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File:Small dodecahemicosahedron.stl
In geometry, the small dodecahemicosahedron (or great dodecahemiicosahedron) is a nonconvex uniform polyhedron, indexed as U62. It has 22 faces (12 pentagrams and 10 hexagons), 60 edges, and 30 vertices.{{Cite web|url=https://www.mathconsult.ch/static/unipoly/62.html|title=62: small dodecahemicosahedron|last=Maeder|first=Roman|date=|website=MathConsult|archive-url=|archive-date=|access-date=}} Its vertex figure is a crossed quadrilateral.
It is a hemipolyhedron with ten hexagonal faces passing through the model center.
Related polyhedra
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the dodecadodecahedron (having the pentagrammic faces in common), and with the great dodecahemicosahedron (having the hexagonal faces in common).
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Gallery
See also
References
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External links
- {{mathworld | urlname = SmallDodecahemicosahedron| title = Small dodecahemicosahedron}}
- [http://gratrix.net/polyhedra/uniform/summary Uniform polyhedra and duals]
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