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Pentagrammic cuploid
Polyhedron with 11 faces / From Wikipedia, the free encyclopedia
In geometry, the pentagrammic cuploid or pentagrammmic semicupola is the simplest of the infinite family of cuploids. It can be obtained as a slice of the small complex rhombicosidodecahedron. As in all cupolae, the base polygon has twice as many edges and vertices as the top; but in this case the base polygon is a degenerate {10/2} decagram, as the top is a {5/2} pentagram. Hence, the degenerate base is withdrawn and the triangles are connected to the squares instead.
Quick Facts Type, Faces ...
Pentagrammic cuploid | |
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Type | Cuploid |
Faces | 5 triangles 5 squares 1 pentagram |
Edges | 20 |
Vertices | 10 |
Vertex configuration | 5(5/2.4.3.4) 5(3.4.3/2.4/3) |
Symmetry group | C5v, [5], (*55) |
Rotation group | C5, [5]+, (55) |
Dual polyhedron | Pentagrammic keratinoid |
Properties | non-orientable has a membrane |
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