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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 "...
Archimedean solids, for example, still have to be made up of regular polygons, but you can use multiple different types. They are named after another Greek mathematician, Archimedes of Syracuse, and there are 13 of them: Truncated Tetrahedron. 8 faces, 12 vertices, 18 edges. Cuboctahedron.
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.
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.
An Archimedean solid is a convex semi-regular solid in which the same number of regular polygons meet in the same way at every vertex, but is not a Platonic solid or prism or antiprism. According to Pappus, Archimedes discovered 13 of them and published the result in a work which is now lost.
The 13 Archimedean solids are the only solids whose faces are composed of two or more distinct regular polygons placed in a symmetrical arrangement.
The semiregular convex polyhedra include thirteen solids associated with another ancient mathematician, Archimedes. He lived after Euclid and worked in Syracuse on the Mediterranean island of Sicily. These objects are called Archimedean solids.
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. Apart from the infinite sets of regular-based prisms and anti-prisms , there are only thirteen convex semi-regular polyhedra. These are known as the Archimedean Solids. The first of these has the symmetry of the regular tetrahedron .
