great rhombidodecahedron
{{Short description|Polyhedron with 42 faces}}
{{Uniform polyhedra db|Uniform polyhedron stat table|grD}}
File:Great rhombidodecahedron.stl
In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. It has 42 faces (30 squares, 12 decagrams), 120 edges and 60 vertices.{{Cite web|url=https://www.mathconsult.ch/static/unipoly/73.html|title=73: great rhombidodecahedron|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 truncated great dodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the nonconvex great rhombicosidodecahedron (having the square faces in common), and with the great dodecicosidodecahedron (having the decagrammic faces in common).
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| 100px Truncated great dodecahedron |
Gallery
See also
References
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External links
- {{mathworld | urlname = GreatRhombidodecahedron | title = Great rhombidodecahedron }}
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