small dodecicosahedron
{{Short description|Polyhedron with 32 faces}}
{{Uniform polyhedra db|Uniform polyhedron stat table|lDI}}
File:Small dodecicosahedron.stl
In geometry, the small dodecicosahedron (or small dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U50. It has 32 faces (20 hexagons and 12 decagons), 120 edges, and 60 vertices.{{Cite web|url=https://www.mathconsult.ch/static/unipoly/50.html|title=50: small dodecicosahedron|last=Maeder|first=Roman|date=|website=MathConsult|archive-url=|archive-date=|access-date=}} Its vertex figure is a crossed quadrilateral.
Related polyhedra
It shares its vertex arrangement with the great stellated truncated dodecahedron. It additionally shares its edges with the small icosicosidodecahedron (having the hexagonal faces in common) and the small ditrigonal dodecicosidodecahedron (having the decagonal faces in common).
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References
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External links
- {{mathworld | urlname = SmallDodecicosahedron| title = Small dodecicosahedron}}
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