Kepler–Poinsot Polyhedron

In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra. They may be obtained by stellating the regular convex dodecahedron and icosahedron, and differ from these in having regular pentagrammic faces or vertex figures.

Read more about Kepler–Poinsot Polyhedron:  Identification, Relationships Among The Regular Polyhedra, History, Regular Star Polyhedra in Art and Culture