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In geometry, an Archimedean solid is one of 13 convex polyhedra whose faces are regular polygons and whose vertices are all symmetric to each other. They were first enumerated by Archimedes.
The Archimedean solids are distinguished by having very high symmetry, thus excluding solids belonging to a dihedral group of symmetries (e.g., the two infinite families of regular prisms and antiprisms), as well as the elongated square gyrobicupola (because that surface's symmetry-breaking twist allows vertices "near the equator" and those "...
Learn about the 13 Archimedean solids, which are polyhedra made of regular polygons with different types and numbers of faces, vertices and edges. Explore their properties, examples and nets in this interactive online course on polygons and polyhedra.
In geometry, the Archimedean solids are a special group of 13 semi-regular polyhedrons. They have a high degree of symmetry. A polyhedron is a geometric solid whose faces are each flat polygons. In an Archimedean solid, the faces are regular polygons—that is, their sides are all of equal length.
Archimedes, a scientist from Ancient Greece, discovered thirteen types of polyhedra, now called Archimedean solids, referred to as semi-regular polyhedra. Each of them is limited by different polygons where the polyhedral angles and identical polygons are equal.
This book gives the first known mention of the thirteen “Archimedean solids”, which Pappus lists and attributes to Archimedes. However, Archimedes makes no mention of these solids in any of his extant works.
The Archimedean solids are a set of 13 polyhedra described by Pappus of Alexandria around 340 AD, who attributed them to the ancient Greek mathematician Archimedes (287-212 BC).
