Small stellated dodecahedron
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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 o
Small stellated dodecahedron (top and bottom left) in Johannes Kepler's Harmonices Mundi
Floor mosaic by Paolo Uccello
Great dodecahedron
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In geometry, the great dodecahedron is one of four Kepler–Poinsot polyhedra. It is composed of 12 pentagonal faces, intersecting each other making a pentagrammic path, with five pentagons meeting at e
Small stellated dodecahedron
…symmetries of any Riemann surface of genus 4: the symmetric group S 5 acts as automorphisms. The dual polyhedron of a small stellated dodecahedron is the great dodecahedron which shares the same number of vertices, edges, and faces. Small stellated dodecahedra can be seen in antiquity, as in Johannes Kepler's Harmonices…
Great dodecahedron in Perspectiva Corporum Regularium
Alexander's Star in solved state