Polygon

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