Polygon

  • 81Regular 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… …

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  • 82Point in polygon — In computational geometry, the point in polygon (PIP) problem asks whether a given point in the plane lies inside, outside, or on the boundary of a polygon. It is a special case of point location problems and finds applications in areas that deal …

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  • 83Monotone 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… …

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  • 84Simple polygon — In geometry, a simple polygon is a polygon whose sides do not intersect. They are also called Jordan polygons, because the Jordan curve theorem can be used to prove that such a polygon divides the plane into two regions, the region inside it and… …

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  • 85Complex 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… …

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  • 86Dual 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 …

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  • 87Star-shaped polygon — A star shaped polygon (not to be confused with star polygon) is a polygonal region in the plane which is a star domain, i.e., a polygon P is star shaped, if there exists a point z such that for each point p of P the segment zp lies entirely… …

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  • 88Rectilinear polygon — Some examples of rectilinear polygons A rectilinear polygon is a polygon all of whose edges meet at right angles. Thus the interior angle at each vertex is either 90° or 270°. Rectilinear polygons are a special case of isothetic polygons. In many …

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  • 89Petrie 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… …

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  • 90Regelmäßiges Polygon — verschiedene Polygone bzw. polygonale Flächen Polygon (v. griech.: polýs = viel + gonía = Winkel) oder auch Vieleck ist ein Begriff aus der Geometrie und dabei insbesondere der Planimetrie. Ein Polygon erhält man, indem man mindestens drei… …

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