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The 5 Platonic solids, Tetrahedron, Cube or (Hexahedron), Octahedron, Dodecahedron & Icosahedron, are ideal, primal models of crystal patterns that occur throughout the world of minerals in countless variations.
These are the only five regular polyhedra, that is, the only five solids made from the same equilateral, equiangular polygons.
To the Greeks, these solids symbolized fire, earth, air, spirit (or ether) and water respectively. The cube and octahedron are duals, meaning that one can be created by connecting the midpoints of the faces of the other.
The icosahedron and dodecahedron are also duals of each other, and three mutually perpendicular, mutually bisecting golden rectangles can be drawn connecting their vertices and midpoints, respectively.
The tetrahedron is a dual to itself.
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