Prismatoid polyhedra

Crossed pentagrammic cupola

In geometry, the crossed pentagrammic cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex pentagonal cupola. It can be obtained as a slice of the great rhombicosidodecahedron or quasirhombicosidodecahedron. As in all cupolae, the base polygon has twice as many edges and vertices as the top; in this case the base polygon is a decagram. It may be seen as a cupola with a retrograde pentagrammic base, so that the squares and triangles connect across the bases in the opposite way to the pentagrammic cuploid, hence intersecting each other more deeply. (Wikipedia).

Crossed pentagrammic cupola
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From playlist Parallel Lines and a Transversal

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From playlist Parallel Lines and a Transversal

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From playlist Parallel Lines and a Transversal

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From playlist Parallel Lines and a Transversal

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Related pages

Cupola (geometry) | Edge (geometry) | Decagram (geometry) | Pentagonal cupola | Vertex (geometry) | Great dodecicosidodecahedron | Nonconvex great rhombicosidodecahedron | Geometry | Johnson solid | Polygon | Great rhombidodecahedron | Triangle | Pentagram | Pentagrammic cuploid