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Stellated octahedron

The stellated octahedron is the only stellation of the octahedron. It is also called the stella octangula, a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers. It was depicted in Pacioli's De Divina Proportione,... Wikipedia
Convex hull: Cube
Coxeter symbol: 4,3
Dual: Self-dual
Edges: 12
Faces: 8 triangles
Polyhedra: 2 tetrahedra
Schläfli symbols: a; ß; ßr