Icosidodecadodecahedron
{{Short description|Polyhedron with 44 faces}}
{{Uniform polyhedra db|Uniform polyhedron stat table|IDD}}
File:Icosidodecadodecahedron.stl
In geometry, the icosidodecadodecahedron (or icosified dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U44. It has 44 faces (12 pentagons, 12 pentagrams and 20 hexagons), 120 edges and 60 vertices.{{Cite web|url=https://www.mathconsult.ch/static/unipoly/44.html|title=44: icosidodecadodecahedron|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 uniform compounds of 10 or 20 triangular prisms. It additionally shares its edges with the rhombidodecadodecahedron (having the pentagonal and pentagrammic faces in common) and the rhombicosahedron (having the hexagonal faces in common).
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See also
References
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External links
- {{mathworld | urlname = Icosidodecadodecahedron| title = Icosidodecadodecahedron}}
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