Kepler–Poinsot solidsThese are the four regular star polyhedra, which are self‑intersecting and formed by stellations of the dodecahedron and the icosahedron.
A downward‑pointing pentagram is commonly associated with satanic symbolism. When oriented the other way around, it served, among other things, as a symbol of Pythagoras’ secret teaching after his return from Egypt, where he had spent 17 years among learned scholars.
A regular polyhedron is a polyhedron whose faces are congruent regular polygons arranged in the same way around each vertex. There are nine different regular polyhedra: the five Platonic solids and the four Kepler–Poinsot solids.
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