regular polygon
31Constructible polygon — Construction of a regular pentagon In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. For example, a regular pentagon is constructible with compass and straightedge while a regular… …
32Equiangular polygon — In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal then it is a regular polygon.The only equiangular triangle is the equilateral triangle. Rectangles, including the …
33Equilateral polygon — In geometry, an equilateral polygon is a polygon which has all sides of the same length. For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other, and have 60 degree internal… …
34Bicentric polygon — In geometry, bicentric polygon is a circumscribed polygon which also has an inscribed circle (a circle that is tangent to each side of the polygon). All triangles and all regular polygons are bicentric. On the other hand, a rectangle with unequal …
35Tiling by regular polygons — Plane tilings by regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler in Harmonices Mundi . Regular tilings Following Grünbaum and Shephard (section 1.3), a tiling is said to be… …
36Complex 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… …
37Dual polygon — In geometry, polygons are associated into pairs called duals, where the vertices of one correspond to the edges of the other. Contents 1 Properties 2 Kinds of duality 2.1 Rectification …
38Skew polygon — In geometry, a skew polygon is a polygon whose vertices do not lie in a plane. Skew polygons must have at least 4 vertices.A regular skew polygon is a skew polygon with equal edge lengths and vertex transitive.The interior surface (or area) of… …
39Moufang 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 …
40Nef polygon — Nef polygons and Nef polyhedra are the sets of polygons (resp. polyhedra) which can be obtained from a finite set of halfplanes (halfspaces) by Boolean operations of set intersection and set complement. The objects are named after the Swiss… …
