Prismatoid polyhedra

Crossed square cupola

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

Crossed square cupola
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Rhombicuboctahedron | Elongated square gyrobicupola | Elongated square cupola | Square cupola | Octagonal prism | Cupola (geometry) | Great cubicuboctahedron | Nonconvex great rhombicuboctahedron | Vertex (geometry) | Johnson solid | Octagrammic prism | Octahedral symmetry | Polygon | Great pentakis dodecahedron | Edge (geometry) | Octagram | Great rhombihexahedron | Geometry | Triangle