Kepler–Poinsot polyhedron
Any of 4 regular star polyhedra / From Wikipedia, the free encyclopedia
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In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.[1]
They may be obtained by stellating the regular convex dodecahedron and icosahedron, and differ from these in having regular pentagrammic faces or vertex figures. They can all be seen as three-dimensional analogues of the pentagram in one way or another.