infinite polyhedron

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• 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

• 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

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

• 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

• Noble polyhedron — A noble polyhedron is one which is isohedral (all faces the same) and isogonal (all vertices the same). They were first studied in any depth by Hess and Bruckner around the turn of the century (ca. 1900), and later by Grünbaum. Classes of noble… …   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

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

• Kepler–Poinsot polyhedron — In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra. They may be obtained by stellating the regular convex dodecahedron and icosahedron, and differ from these in having regular pentagrammic faces or vertex figures.… …   Wikipedia

• Star polyhedron — In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star like visual quality.There are two general kinds of star polyhedron: *Polyhedra which self intersect in a repetitive way. *Concave… …   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