generalized polygon

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• Generalized n-gon — In combinatorial theory, a generalized n gon is an incidence structure introduced by Jacques Tits. Generalized polygons encompass as special cases projective planes (generalized triangles, n = 3) and generalized quadrangles ( n = 4), which form… …   Wikipedia

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

• Fundamental polygon — In mathematics, each closed surface in the sense of geometric topology can be constructed from an even sided oriented polygon, called a fundamental polygon, by pairwise identification of its edges. Fundamental parallelogram defined by a pair of… …   Wikipedia

• Monotone polygon — Green indicates one intersection, blue indicates two intersections, and red indicates three or more. The top two polygons are monotone with respect to L while the bottom two are not. In geometry, a polygon P in the plane is called monotone with… …   Wikipedia

• Petrie polygon — In geometry, a Petrie polygon is a skew polygon such that every two consecutive sides (but no three) belong to a face of a regular polyhedron.This definition extends to higher regular polytopes. A Petrie polygon for an n polytope is a skew… …   Wikipedia

• Moufang polygon — In mathematics, a Moufang polygon, named after Ruth Moufang, is an irreducible building of rank two that admits the action of root groups. In a major book on the topic, Tits and Weiss[1] classify them all. An earlier theorem, proved independently …   Wikipedia

• Building (mathematics) — In mathematics, a building (also Tits building, Bruhat–Tits building) is a combinatorial and geometric structure which simultaneously generalizes certain aspects of flag manifolds, finite projective planes, and Riemannian symmetric spaces.… …   Wikipedia

• Circle — This article is about the shape and mathematical concept. For other uses, see Circle (disambiguation). Circle illustration showing a radius, a diameter, the centre and the circumference …   Wikipedia

• Edge coloring — A 3 edge coloring of the Desargues graph. In graph theory, an edge coloring of a graph is an assignment of “colors” to the edges of the graph so that no two adjacent edges have the same color. For example, the figure to the right shows an edge… …   Wikipedia

• Cross product — This article is about the cross product of two vectors in three dimensional Euclidean space. For other uses, see Cross product (disambiguation). In mathematics, the cross product, vector product, or Gibbs vector product is a binary operation on… …   Wikipedia

• Circumscribed circle — Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the… …   Wikipedia