generalized polyhedron

См. также в других словарях:

• Waterman polyhedron — Waterman polyhedra were invented, around 1990, by Steve Waterman.The Waterman polyhedra are created by packing spheres according cubic close(st) packing (CCP) and sweep away spheres that are farther from the center than a defined radius, the… …   Wikipedia

• Dual polyhedron — The dual of a cube is an octahedron, shown here with vertices at the cube face centers …   Wikipedia

• Regular skew polyhedron — In geometry, the regular skew polyhedra are generalizations to the set of regular polyhedron which include the possibility of nonplanar faces or vertex figures.These polyhedra have two forms infinite polyhedra that span 3 space, and finite… …   Wikipedia

• Infinite skew polyhedron — In geometry, infinite skew polyhedra are an extended definition of polyhedra, created by regular polygon faces, and nonplanar vertex figures.Many are directly related to a convex uniform honeycomb, being the polygonal surface of a honeycomb with… …   Wikipedia

• Tetrahedron — For the academic journal, see Tetrahedron (journal). Regular Tetrahedron (Click here for rotating model) Type Platonic solid Elements F = 4, E = 6 V = 4 (χ = 2) Faces by s …   Wikipedia

• Dürer graph — Melencolia I by Albrecht Dürer, the first appearance of Dürer s solid (1514). In the mathematical field of graph theory, the Dürer graph is an undirected graph with 12 vertices and 18 edges. It is named after Albrecht Dürer, whose 1514 engraving… …   Wikipedia

• Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… …   Wikipedia

• Polytope — Not to be confused with polytrope. In elementary geometry, a polytope is a geometric object with flat sides, which exists in any general number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on… …   Wikipedia

• Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot …   Wikipedia

• Regular polytope — In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j faces (for all 0≤ j ≤ n , where n is the dimension of the polytope) cells, faces and… …   Wikipedia

• Zonohedron — A zonohedron is a convex polyhedron where every face is a polygon with point symmetry or, equivalently, symmetry under rotations through 180°. Any zonohedron may equivalently be described as the Minkowski sum of a set of line segments in three… …   Wikipedia