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ORIGIN OF NAME The Archimedean solids take their name from Archimedes , who discussed them in a now-lost work. During the Renaissance , Artist s and Mathematician s valued ''pure forms'' and rediscovered all of these forms. This search was completed around 1619 by Johannes Kepler , who defined prisms, antiprisms, and the non-convex solids known as Kepler-Poinsot Solid s. CLASSIFICATION There are 13 Archimedean solids (15 if the Mirror Image s of two Enantiomorphs , see below, are counted separately). Here the ''vertex configuration'' refers to the type of regular polygons that meet at any given vertex. For example, a vertex configuration of (4,6,8) means that a square, hexagon, and octagon meet at a vertex (with the order taken to be clockwise around the vertex). The number of vertices is 720° divided by the vertex Angle Defect . The cuboctahedron and icosidodecahedron are edge-uniform and are called quasi-regular. The snub cube and snub dodecahedron are known as ''chiral'', as they come in a left-handed (Latin: levomorph or laevomorph) form and right-handed (Latin: dextromorph) form. When something comes in multiple forms which are each other's three-dimensional Mirror Image , these forms may be called enantiomorphs. (This nomenclature is also used for the forms of Chemical Compound s). The Duals of the Archimedean solids are called the Catalan Solid s. Together with the Bipyramid s and Trapezohedra , these are the face-uniform solids with regular vertices. SEE ALSO EXTERNAL LINKS
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