Uniform star polyhedron
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In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron. They are also sometimes called nonconvex polyhedra to imply self-intersecting. Each polyhedron can contain either star
A display of uniform polyhedra at the Science Museum in London
Kepler–Poinsot polyhedron
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In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
Uniform star polyhedron
…polygon faces, star polygon vertex figures, or both. The complete set of 57 nonprismatic uniform star polyhedra includes the 4 regular ones, called the Kepler–Poinsot polyhedra, 14 quasiregular ones, and 39 semiregular ones. There are also two infinite sets of uniform star prisms and uniform star antiprisms…
Marble floor mosaic Basilica of St Mark Vencice
Perspectiva Corporum Regularium 22c
Perspectiva Corporum Regularium MET DP239933, great stellated dodecahedron
Stellated dodecahedra Harmonices Mundi