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Finsler-Hadwiger Theorem

A square rotates around a vertex shared with another square. The quadrilateral with the centers of the squares and the midpoints of the dashed segments as vertices is always a square.

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 Sándor Kabai
"Finsler-Hadwiger Theorem"
 http://demonstrations.wolfram.com/FinslerHadwigerTheorem/
 Wolfram Demonstrations Project
 Published: September 28, 2007
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