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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 "...
An Archimedean solid is a polyhedron made up of different kinds of regular polygons, that looks the same from every direction. There are 13 different Archimedean solids. Learn more…,
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.
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.
An archimedean solid is a convex polytope such that each side is a regular polygon and the same polygons meet at every corner in the same order and under the same angles. It is a platonic solid if all the sides are the same regular polygon.
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 .
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. What are they? Archimedean solids are related to the five Platonic Solids. Remember that the Platonic solids are the only regular, convex solids. What happens if we loosen the constraint of regularity? Instead of requiring that the faces meeting at a vertex be the same polygon, we now require that.
