Intersecting Lines in All Possible Ways

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This Demonstration shows the points of intersection of the sides and diagonals of a polygon with up to nine original vertices. To increase the number of intersections, reduce the parallel lines by gingerly dragging the red vertices.
Contributed by: George Beck (March 2011)
Open content licensed under CC BY-NC-SA
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"Intersecting Lines in All Possible Ways"
http://demonstrations.wolfram.com/IntersectingLinesInAllPossibleWays/
Wolfram Demonstrations Project
Published: March 7 2011