uniform polyhedron

См. также в других словарях:

• 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

• Uniform polyhedron compound — A uniform polyhedron compound is a polyhedral compound whose constituents are identical (although possibly enantiomorphous) uniform polyhedra, in an arrangement that is also uniform: the symmetry group of the compound acts transitively on the… …   Wikipedia

• Nonconvex uniform polyhedron — In geometry, a nonconvex uniform polyhedron, or uniform star polyhedron, is a self intersecting uniform polyhedron. Each can contain either star polygon faces, star polygon vertex figures or both.The complete set of 57 nonprismatic uniform star… …   Wikipedia

• Prismatic uniform polyhedron — A pentagrammic antiprism is made of two regular pentagrams and 10 equilateral triangles. In geometry, a prismatic uniform polyhedron is a uniform polyhedron with dihedral symmetry. They exist in two infinite families, the uniform prisms and the… …   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

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

• Uniform polytope — A uniform polytope is a vertex transitive polytope made from uniform polytope facets. A uniform polytope must also have only regular polygon faces.Uniformity is a generalization of the older category semiregular, but also includes the regular… …   Wikipedia

• Uniform coloring — In geometry, a uniform coloring is a property of a uniform figure (uniform tiling or uniform polyhedron) that is colored to be vertex transitive. Different symmetries can be expressed on the same geometric figure with the faces following… …   Wikipedia

• Uniform great rhombicosidodecahedron — In geometry, the uniform great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U67. It is also called the quasirhombicosidodecahedron .This model shares the name with the convex great rhombicosidodecahedron, which is also… …   Wikipedia

• Uniform great rhombicuboctahedron — In geometry, the Uniform great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U17.It shares the vertex arrangement with the convex truncated cube.This model shares the name with the convex great rhombicuboctahedron, which is… …   Wikipedia

• List of uniform polyhedra — Uniform polyhedra and tilings form a well studied group. They are listed here for quick comparison of their properties and varied naming schemes and symbols.This list includes: * all 75 nonprismatic uniform polyhedra; * a few representatives of… …   Wikipedia