There is doubt regarding the mathematical interpretation of these objects, as many have non-platonic forms, and perhaps only one has been found to be a true icosahedron, as opposed to a reinterpretation of the icosahedron dual, the dodecahedron. Why these objects were made, or how their creators gained the inspiration for them, is a mystery. Examples of these stones are on display in the John Evans room of the Ashmolean Museum at Oxford University. Some of these stones show not only the symmetries of the five Platonic solids, but also some of the relations of duality amongst them (that is, that the centres of the faces of the cube gives the vertices of an octahedron). Stones carved in shapes resembling clusters of spheres or knobs have been found in Scotland and may be as much as 4,000 years old. See also: Regular polytope § History of discovery Prehistory In classical contexts, many different equivalent definitions are used a common one is that the faces are congruent regular polygons which are assembled in the same way around each vertex.Ī regular polyhedron is identified by its Schläfli symbol of the form. A regular polyhedron is highly symmetrical, being all of edge-transitive, vertex-transitive and face-transitive. Polyhedron with regular congruent polygons as facesĪ regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
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