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Archimedean solid
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{{short description|Polyhedra in which all vertices are the same}} [[File:Archimedian Solids 15.jpg|thumb|The Archimedean solids. Two of them are [[Chirality (mathematics)|chiral]], with both forms shown, making 15 models in all.]] The '''Archimedean solids''' are a set of thirteen [[convex polyhedra]] whose faces are regular polygons, but not all alike, and whose vertices are all symmetric to each other. The solids were named after [[Archimedes]], although he did not claim credit for them. They belong to the class of [[uniform polyhedra]], the polyhedra with regular faces and symmetric vertices. Some Archimedean solids were portrayed in the works of artists and mathematicians during the [[Renaissance]]. The [[elongated square gyrobicupola]] or ''{{shy|pseudo|rhombi|cub|octa|hedron}}'' is an extra polyhedron with regular faces and congruent vertices, but it is not generally counted as an Archimedean solid because it is not [[vertex-transitive]].
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