MetaGlossary.com: Concave Polygon

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Keywords: Polygon, Vertex, Convex, Diagonal, Nonconvex

Related Terms: Polygon , Apothem, Cotangent, Decagon, Diagonal, Heptagon, Hexagon, Hexagonal, Hypotenuse, Icosahedron, Isosceles, Kite , Leg, Octahedron, Pentagon, Polyhedron, Quadrilateral, Rectangle, Rectangular, Rhomboid, Skew, Square, Tetragonal, Triangle, Vertex, Vertical, Equilateral Triangle, Isosceles Triangle, Inscribed Angle, Regular Tessellation, Regular Polyhedron, Regular Polygon, Right Triangle, Rectangular Prism, Rhombus, Convex Polygon, Adjacent Angles, Alternate Interior Angles, Corresponding Angles, Isosceles Trapezoid, Scalene Triangle, N-Gon, Perpendicular Bisector, Inscribed Polygon, Altitude Of A Triangle, Platonic Solid, Regular Hexagon, Angle Bisector, Cyclic Quadrilateral, Polyiamond

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(4) A polygon in which at least one vertex is "pushed in". Also called nonconvex.

http://instruction.aaps.k12.mi.us/EM_parent_hdbk/glossary_cd.html

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a polygon which contains at least one diagonal outside the figure.

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A polygon in which at least one vertex is “pushed in.” A line may intersect a concave polygon at more than two points.

http://www.auburn.wednet.edu/everydaymath/46glossary/46glossc.htm

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a polygon such that there is a straight line that cuts it in four or more points

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a polygon that is not convex

http://mathworld.wolfram.com/ConcavePolygon.html

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a polygon in which at least one segment connecting two vertices is outside the polygon

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A polygon with at least one interior angle with measure greater than 180 degrees.

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A polygon with one or more diagonals that have points outside the polygon.

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A polygon with notches or concave areas along its perimeter (as opposed to convex polygon). A five-pointed star is an example of a concave polygon. To determine if a polygon is concave, apply the rubber band test. If an imaginary rubber band placed around the outside of a polygon would not touch all sides, then the polygon is concave. Concave polygons must be triangulated (formed into various triangles) before they can be rendered.

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