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Platonic solid WikipediaAngles The solid angle of a face subtended from the center of a platonic solid is equal to the solid angle of a full sphere 4 π steradians divided by the number of faces Note that this is equal to the angular deficiency of its dual The various angles associated with the Platonic solids are tabulated belowPlatonic Solids Maths ResourcesExample the Cube is a Platonic Solid There are only five platonic solidsPlatonic solid WikipediaIn threedimensional space a Platonic solid is a regular convex is constructed by congruent identical in shape and size regular all angles equal and all sides equal polygonal faces with the same number of faces meeting at each vertex Five solids meet these criteriaPlatonic Solid from Wolfram MathWorldPlatonic Solid The Platonic solids also called the regular solids or regular polyhedra are convex polyhedra with equivalent faces composed of congruent convex regular polygons There are exactly five such solids Steinhaus 1999 pp 252256 the cube dodecahedron icosahedron octahedron and tetrahedronPlatonic solid mathematics Platonic solid Platonic solid any of the five geometric solids whose faces are all identical regular polygons meeting at the same threedimensional angles Also known as the five regular polyhedra they consist of the tetrahedron or pyramid cube octahedron dodecahedron and icosahedron Pythagoras c 580–cPlatonic solidPlatonic solid It is natural to wonder why there should be exactly five Platonic solids and whether there might conceivably be one that simply hasnt been discovered yet However it is not difficult to show that there must be five—and that there cannot be more than five First consider that at each
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