Wittenbauer's Parallelogram
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Suppose that the sides of a (black) quadrilateral are trisected. Form a new (magenta) quadrilateral whose sides are defined by the four pairs of points of trisection on either side of the vertices of the original quadrilateral; it is always a parallelogram.
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Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
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"Wittenbauer's Parallelogram"
http://demonstrations.wolfram.com/WittenbauersParallelogram/
Wolfram Demonstrations Project
Published: March 7 2011