convex -gon

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• Polygon — For other uses, see Polygon (disambiguation). Some polygons of different kinds In geometry a polygon (   …   Wikipedia

• combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …   Universalium

• Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… …   Wikipedia

• Cross-polytope — In geometry, a cross polytope,[1] orthoplex,[2] hyperoctahedron, or cocube is a regular, convex polytope that exists in any number of dimensions. The vertices of a cross polytope are all the permutations of (±1, 0, 0, …, 0). The cross polytope is …   Wikipedia

• Cupola (geometry) — For other uses, see cupola (disambiguation). Pentagonal cupola (example) Type Set of cupolas Faces n triangles, n squares 1 n agon, 1 2n agon Edges …   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

• Coxeter–Dynkin diagram — See also: Dynkin diagram Coxeter Dynkin diagrams for the fundamental finite Coxeter groups …   Wikipedia

• Quadrilateral — This article is about four sided mathematical shapes. For other uses, see Quadrilateral (disambiguation). Quadrilateral Six different types of quadrilaterals Edges and vertices 4 …   Wikipedia

• Happy Ending problem — The Happy Ending problem (so named by Paul Erdős since it led to the marriage of George Szekeres and Esther Klein) is the following statement::Theorem. Any set of five points in the plane in general position [In this context, general position… …   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

• Regular polygon — A regular polygon is a polygon which is equiangular (all angles are congruent) and equilateral (all sides have the same length). Regular polygons may be convex or star.General propertiesThese properties apply to both convex and star regular… …   Wikipedia