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This polyhedron has a form of icosahedral symmetry. There are 30 blue elements. This set contains renderings of Platonic, Archimedean and Catalan solids. For most of them the sphere shown on the right is the polyhedrons midsphere. The geometric properties of these images have been calculated with Python, and they have been rendered with POV-Ray.
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In geometry, a polyhedron (pl.: polyhedra or polyhedrons; from Greek πολύ (poly-) 'many' and ἕδρον (-hedron) 'base, seat') is a three-dimensional figure with flat polygonal faces, straight edges and sharp corners or vertices. The term "polyhedron" may refer either to a solid figure or to its boundary surface.
Image set Platonic, Archimedean and Catalan solids, rendered images similar to da Vinci drawings Part of Rendered polyhedra similar to da Vinci drawings; This set contains ray tracings of a wooden polyhedra in a skeletonic style similar to the woodcuts in da Vinci's De divina proportione (1509).
A regular polyhedron is identified by its Schläfli symbol of the form {n, m}, where n is the number of sides of each face and m the number of faces meeting at each vertex. There are 5 finite convex regular polyhedra (the Platonic solids ), and four regular star polyhedra (the Kepler–Poinsot polyhedra ), making nine regular polyhedra in all.
If only thirteen polyhedra are to be listed, the definition must use global symmetries of the polyhedron rather than local neighborhoods. In the aftermath, the elongated square gyrobicupola was withdrawn from the Archimedean solids and included into the Johnson solid instead, a convex polyhedron in which all of the faces are regular polygons. [16]
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