semiregular polyhedron

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• Semiregular polyhedron — A semiregular polyhedron is a polyhedron with regular faces and a symmetry group which is transitive on its vertices. Or at least, that is what follows from Thorold Gosset s 1900 definition of the more general semiregular polytope. [Thorold… …   Wikipedia

• Polyhedron — Polyhedra redirects here. For the relational database system, see Polyhedra DBMS. For the game magazine, see Polyhedron (magazine). For the scientific journal, see Polyhedron (journal). Some Polyhedra Dodecahedron (Regular polyhedron) …   Wikipedia

• Semiregular 4-polytope — In geometry, a semiregular 4 polytope (or polychoron) is a 4 dimensional polytope which is vertex transitive (i.e. the symmetry group of the polytope acts transitively on the vertices) and whose cells are regular polyhedra. These represent a… …   Wikipedia

• Uniform polyhedron — A uniform polyhedron is a polyhedron which has regular polygons as faces and is transitive on its vertices (i.e. there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent, and the polyhedron has a high… …   Wikipedia

• Regular polyhedron — A regular polyhedron is a polyhedron whose faces are congruent (all alike) regular polygons which are assembled in the same way around each vertex. A regular polyhedron is highly symmetrical, being all of edge transitive, vertex transitive and… …   Wikipedia

• Conway polyhedron notation — This example chart shows how 11 new forms can be derived from the cube using 3 operations. The new polyhedra are shown as maps on the surface of the cube so the topological changes are more apparent. Vertices are marked in all forms with circles …   Wikipedia

• Uniform star polyhedron — A display of uniform polyhedra at the Science Museum in London …   Wikipedia

• List of Wenninger polyhedron models — This table contains an indexed list of the Uniform and stellated polyhedra from the book Polyhedron Models , by Magnus Wenninger.The book was written as a guide book to building polyhedra as physical models. It includes templates of face elements …   Wikipedia

• Spherical polyhedron — In mathematics, the surface of a sphere may be divided by line segments into bounded regions, to form a spherical tiling or spherical polyhedron. Much of the theory of symmetrical polyhedra is most conveniently derived in this way.Spherical… …   Wikipedia

• Vertex configuration — In polyhedral geometry a vertex configuration is a short hand notation for representing a polyhedron vertex figure as the sequence of faces around a vertex. For uniform polyhedra there is only one vertex type and therefore the vertex… …   Wikipedia

• Snub cube — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 38, E = 60, V = 24 (χ = 2) Faces by sides (8+24){3}+6{4} …   Wikipedia