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In geometry, the crossed pentagonal cupolo … In geometry, the crossed pentagonal cupoloid or crossed pentagonal semicupola is one member of the infinite family of cuploids. It can be obtained as a slice of the great 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 {10/4} decagram, as the top is a {5/4} pentagon. Hence, the degenerate base is withdrawn and the triangles are connected to the squares instead. It may be seen as a cupola with a retrograde pentagonal base, so that the squares and triangles connect across the bases in the opposite way to the pentagonal cupola, hence intersecting each other.nal cupola, hence intersecting each other.
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http://www.polyedergarten.de/polyhedrix/e_klintro.htm +
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, http://www.orchidpalms.com/polyhedra/cupolas/52cuploid.html +
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rdfs:comment |
In geometry, the crossed pentagonal cupolo … In geometry, the crossed pentagonal cupoloid or crossed pentagonal semicupola is one member of the infinite family of cuploids. It can be obtained as a slice of the great 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 {10/4} decagram, as the top is a {5/4} pentagon. Hence, the degenerate base is withdrawn and the triangles are connected to the squares instead.gles are connected to the squares instead.
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rdfs:label |
Crossed pentagonal cuploid
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