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- Simple_polygon abstract "In geometry a simple polygon /ˈpɒlɪɡɒn/ is defined as a flat shape consisting of straight, non-intersecting line segments or "sides" that are joined pair-wise to form a closed path. If the sides intersect then the polygon is not simple. The qualifier "simple" is frequently omitted, with the above definition then being understood to define a polygon in general.The definition given above ensures the following properties: A polygon encloses a region (called its interior) which always has a measurable area. The line segments that make-up a polygon (called sides or edges) meet only at their endpoints, called vertices (singular: vertex) or less formally "corners". Exactly two edges meet at each vertex. The number of edges always equals the number of vertices.Two edges meeting at a corner are usually required to form an angle that is not straight (180°); otherwise, the collinear line segments will be considered parts of a single side.Mathematicians typically use "polygon" to refer only to the shape made up by the line segments, not the enclosed region, however some may use "polygon" to refer to a plane figure that is bounded by a closed path, composed of a finite sequence of straight line segments (i.e., by a closed polygonal chain). According to the definition in use, this boundary may or may not form part of the polygon itself.Simple polygons 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 the region outside it. A simple polygon in the plane is topologically equivalent to a circle and its interior is topologically equivalent to a disk.".
- Simple_polygon thumbnail Polygons_Examples_of_polygons.png?width=300.
- Simple_polygon wikiPageID "1059530".
- Simple_polygon wikiPageRevisionID "599443461".
- Simple_polygon hasPhotoCollection Simple_polygon.
- Simple_polygon title "Simple polygon".
- Simple_polygon urlname "SimplePolygon".
- Simple_polygon subject Category:Polygons.
- Simple_polygon type Abstraction100002137.
- Simple_polygon type Attribute100024264.
- Simple_polygon type Figure113862780.
- Simple_polygon type PlaneFigure113863186.
- Simple_polygon type Polygon113866144.
- Simple_polygon type Polygons.
- Simple_polygon type Shape100027807.
- Simple_polygon comment "In geometry a simple polygon /ˈpɒlɪɡɒn/ is defined as a flat shape consisting of straight, non-intersecting line segments or "sides" that are joined pair-wise to form a closed path. If the sides intersect then the polygon is not simple.".
- Simple_polygon label "Polygone simple".
- Simple_polygon label "Polígono simple".
- Simple_polygon label "Polígono simples".
- Simple_polygon label "Simple polygon".
- Simple_polygon label "Wielokąt prosty".
- Simple_polygon label "مضلع بسيط".
- Simple_polygon sameAs Polígono_simple.
- Simple_polygon sameAs Polygone_simple.
- Simple_polygon sameAs Wielokąt_prosty.
- Simple_polygon sameAs Polígono_simples.
- Simple_polygon sameAs m.042fx7.
- Simple_polygon sameAs Q782746.
- Simple_polygon sameAs Q782746.
- Simple_polygon sameAs Simple_polygon.
- Simple_polygon wasDerivedFrom Simple_polygon?oldid=599443461.
- Simple_polygon depiction Polygons_Examples_of_polygons.png.
- Simple_polygon isPrimaryTopicOf Simple_polygon.
