Polygon
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Polygon
In geometry, a polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. An n-gon is a polygon with n sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. More precisely, the only allowed intersections among the line segments that make up the polygon are the shared endpoints of consecutive segments in the polygonal chain. A simple polygon is the boundary of a region of the plane that is called a solid polygon. The interior of a solid polygon is its body, also known as a polygonal region or polygonal area. In contexts where one is concerned only with simple and solid polygons, a polygon may refer only to a simple polygon or to a solid polygon. A polygonal chain may cross over itself, creating star polygons and other self-intersecting polygons.
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- Related Topics: Boolean Operations On Polygons - Boolean Operations On Polygons Are A Set Of Boolean Operations Operating On One Or More Sets Of Polygons In Computer Graphics., Complete Graph - In The Mathematical Field Of Graph Theory, A Complete Graph Is A Simple Undirected Graph In Which Every Pair Of Distinct Vertices Is Connected By A Unique Edge. A Complete Digraph Is A Directed Graph In Which Every Pair Of Distinct Vertices Is Connected By A Pair Of Unique Edges., Constructible Polygon - 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 Heptagon Is Not., Golygon - A Golygon, Or More Generally A Serial Isogon Of 90°, Is Any Polygon With All Right Angles Whose Sides Are Consecutive Integer Lengths. Golygons Were Invented And Named By Lee Sallows, And Popularized By A.k. Dewdney In A 1990 Scientific American Column., Polyform - In Recreational Mathematics, A Polyform Is A Plane Figure Or Solid Compound Constructed By Joining Together Identical Basic Polygons. The Basic Polygon Is Often A Convex Plane-Filling Polygon, Such As A Square Or A Triangle., Polygon Soup - A Polygon Soup Is A Group Of Unorganized Triangles, With Generally No Relationship Whatsoever. Polygon Soups Are A Geometry Storage Format In A 3D Modeling Package, Such As Maya, Houdini, Or Blender., Euclidean Plane Geometry, Polygons
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