nonconvex polygon

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• 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

• Star polygon — Set of regular star polygons {5/2} {7/2} …   Wikipedia

• Complex polygon — The term complex polygon can mean two different things: In computer graphics, as a polygon which is neither convex nor concave. In geometry, as a polygon in the unitary plane, which has two complex dimensions. Contents 1 Computer graphics 2… …   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 star polyhedron — A display of uniform polyhedra at the Science Museum in London …   Wikipedia

• List of regular polytopes — This page lists the regular polytopes in Euclidean, spherical and hyperbolic spaces.The Schläfli symbol notation describes every regular polytope, and is used widely below as a compact reference name for each.The regular polytopes are grouped by… …   Wikipedia

• Schläfli symbol — In mathematics, the Schläfli symbol is a notation of the form {p,q,r,...} that defines regular polytopes and tessellations.The Schläfli symbol is named after the 19th century mathematician Ludwig Schläfli who made important contributions in… …   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

• 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

• Vertex figure — In geometry a vertex figure is, broadly speaking, the figure exposed when a corner of a polyhedron or polytope is sliced off. Definitions theme and variationsTake some vertex of a polyhedron. Mark a point somewhere along each connected edge. Draw …   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