Platonic and archimedean solids and eulers formula f e v2 there are five platonic solids and thirteen archimedean solids which are convex polyhedra whose faces are all regular polygons platonic solids a platonic solid is a regular polyhedron a regular polyhedron is convex and its identical faces are all regular polygons. A platonic solid is a solid three dimensional entity bounded by regular plane polygons such that the same number of identical polygons meet at each vertex corner of the solid the bounding planes faces of the solid do not intersect one anot. Pictures and reference information about the 5 platonic and 13 archimedean solids. Platonic and archimedean polyhedra the platonic solids discovered by the pythagoreans but described by plato in the timaeus and used by him for his theory of the 4 elements consist of surfaces of a single kind of regular polygon with identical verticesthe archimedean solids consist of surfaces of more than a single kind of regular polygon with identical vertices and identical
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