Pythagorean Theorem by Hexagonal Tessellation

The applet below presents an interactive version of Proof #38 from the Pythagorean theorem page. The proof is based on a superposition of two plane tessellations of which one is by parahexagons.


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Pythagorean Theorem by Hexagonal Tessellation


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Explanation

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Plane Tessellations

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  • Dancing Rectangles Model Auxetic Behavior
  • A Hinged Realization of a Plane Tessellation
  • A Semi-regular Tessellation on Hinges A
  • A Semi-regular Tessellation on Hinges B
  • A Semi-regular Tessellation on Hinges C
  • Escher's Theorem
  • Napoleon Theorem by Plane Tessellation
  • Parallelogram Law: A Tessellation
  • Simple Quadrilaterals Tessellate the Plane
  • Pythagorean Theorem By Plane Tessellation
  • Pythagorean Theorem a la Friedrichs
  • Hinged Greek Cross Tessellation
  • Pythagorean Theorem: A Variant of Proof by Tessellation
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