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Polygon Definition Bounded by a closed circuit of straight-line segment. Term Edge : straight line segment Vertices : points.

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Presentation on theme: "Polygon Definition Bounded by a closed circuit of straight-line segment. Term Edge : straight line segment Vertices : points."— Presentation transcript:

1 Polygon Definition Bounded by a closed circuit of straight-line segment. Term Edge : straight line segment Vertices : points

2 Polygon Type of polygon Convex : edges intersect only at vertices Regular polygons : edges all of length, vertex angle and inscribed in a circle Concave Stellar or star polygon : edges of polygon intersect at point in the addition to the vertex points

3 Properties At least three edges to enclose a finite area V – E = 0 V : vertices quantity, E : edges quantity T = V – 2 T : triangulation

4 Properties Angle’ Sum of interior angles of polygon Sum of exterior angles of polygon(only convex)

5 Properties Line’ Perimeter of regular polygon perimeter = EL E : edges quantity, L : edge length Sum of length Position’

6 Properties Area’ Area of a regular polygon Viewpoint on vector

7 Special Polygon Convex Hull convex polygon has equal edges concave polygon has fewer edges

8 Polygon Symmetry of polygons Reflection Inversion Rotation Containment 1. Determinate Min, Max Box 2. straddle yt 3. check extend point of intersection


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