Derived Polygon
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Select a point at the same fractional distance along each side of a polygon, then connect these points to make a new polygon. If repeated, these derived polygons cluster around the centroid, shown in red.
Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA
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"Derived Polygon"
http://demonstrations.wolfram.com/DerivedPolygon/
Wolfram Demonstrations Project
Published: March 7 2011