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Small stellated dodecahedron

In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams... Wikipedia
Faces by sides: 12 5
Face configuration: V(55)/2
Properties: Regular nonconvex
Schläfli symbol: 5⁄2,5
Symmetry group: Ih, H3,, (*532)
Wythoff symbol: 5 | 2 5⁄2