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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 wikiPageLength "5809".
- Simple_polygon wikiPageOutDegree "31".
- Simple_polygon wikiPageRevisionID "680138382".
- Simple_polygon wikiPageWikiLink Bernard_Chazelle.
- Simple_polygon wikiPageWikiLink Big-O_notation.
- Simple_polygon wikiPageWikiLink Big_O_notation.
- Simple_polygon wikiPageWikiLink Boolean_operations_on_polygons.
- Simple_polygon wikiPageWikiLink CAD.
- Simple_polygon wikiPageWikiLink Category:Polygons.
- Simple_polygon wikiPageWikiLink Circle.
- Simple_polygon wikiPageWikiLink Closed_curve.
- Simple_polygon wikiPageWikiLink Closed_polygonal_chain.
- Simple_polygon wikiPageWikiLink Computational_geometry.
- Simple_polygon wikiPageWikiLink Computer-aided_design.
- Simple_polygon wikiPageWikiLink Convex_hull.
- Simple_polygon wikiPageWikiLink Curve.
- Simple_polygon wikiPageWikiLink Disk_(mathematics).
- Simple_polygon wikiPageWikiLink Fréchet_distance.
- Simple_polygon wikiPageWikiLink Geometry.
- Simple_polygon wikiPageWikiLink Jordan_curve_theorem.
- Simple_polygon wikiPageWikiLink Line_segment.
- Simple_polygon wikiPageWikiLink Medial_axis.
- Simple_polygon wikiPageWikiLink Minkowski_addition.
- Simple_polygon wikiPageWikiLink Minkowski_sum.
- Simple_polygon wikiPageWikiLink Offset_curve.
- Simple_polygon wikiPageWikiLink Parallel_curve.
- Simple_polygon wikiPageWikiLink Plane_(geometry).
- Simple_polygon wikiPageWikiLink Plane_(mathematics).
- Simple_polygon wikiPageWikiLink Point_in_polygon.
- Simple_polygon wikiPageWikiLink Polygon.
- Simple_polygon wikiPageWikiLink Polygon_area.
- Simple_polygon wikiPageWikiLink Polygon_triangulation.
- Simple_polygon wikiPageWikiLink Polygonal_chain.
- Simple_polygon wikiPageWikiLink Shape.
- Simple_polygon wikiPageWikiLink Star_domain.
- Simple_polygon wikiPageWikiLink Straight_skeleton.
- Simple_polygon wikiPageWikiLink Topological_conjugacy.
- Simple_polygon wikiPageWikiLink Topological_skeleton.
- Simple_polygon wikiPageWikiLink Topologically_equivalent.
- Simple_polygon wikiPageWikiLink Voronoi_diagram.
- Simple_polygon wikiPageWikiLink File:Polygons_Examples_of_polygons.png.
- Simple_polygon wikiPageWikiLink File:Weakly_simple_polygon.svg.
- Simple_polygon wikiPageWikiLinkText "Simple polygon".
- Simple_polygon wikiPageWikiLinkText "Simple".
- Simple_polygon wikiPageWikiLinkText "hole-free".
- Simple_polygon wikiPageWikiLinkText "non-self-crossing".
- Simple_polygon wikiPageWikiLinkText "simple polygon".
- Simple_polygon wikiPageWikiLinkText "simple".
- Simple_polygon hasPhotoCollection Simple_polygon.
- Simple_polygon title "Simple polygon".
- Simple_polygon urlname "SimplePolygon".
- Simple_polygon wikiPageUsesTemplate Template:IPAc-en.
- Simple_polygon wikiPageUsesTemplate Template:Mathworld.
- Simple_polygon wikiPageUsesTemplate Template:Refimprove.
- Simple_polygon wikiPageUsesTemplate Template:Reflist.
- Simple_polygon subject Category:Polygons.
- Simple_polygon type Article.
- Simple_polygon type Article.
- Simple_polygon type Polytope.
- 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 "Simple polygon".
- Simple_polygon sameAs مضلع_بسيط.
- Simple_polygon sameAs Polígon_simple.
- Simple_polygon sameAs Απλό_πολύγωνο.
- Simple_polygon sameAs Polígono_simple.
- Simple_polygon sameAs Yksinkertainen_monikulmio.
- Simple_polygon sameAs Polygone_simple.
- Simple_polygon sameAs Egyszerű_poligon.
- Simple_polygon sameAs Wielokąt_prosty.
- Simple_polygon sameAs Polígono_simples.
- Simple_polygon sameAs m.042fx7.
- Simple_polygon sameAs Poligon_simplu.
- Simple_polygon sameAs Preprosti_mnogokotnik.
- Simple_polygon sameAs Q782746.
- Simple_polygon sameAs Q782746.
- Simple_polygon wasDerivedFrom Simple_polygon?oldid=680138382.
- Simple_polygon depiction Polygons_Examples_of_polygons.png.
- Simple_polygon isPrimaryTopicOf Simple_polygon.