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.


If you are reading this, your browser is not set to run Java applets. Try IE11 or Safari and declare the site https://www.cut-the-knot.org as trusted in the Java setup.

Pythagorean Theorem by Hexagonal Tessellation


What if applet does not run?

Explanation

Related material
Read more...

Plane Tessellations

  • Dancing Squares or a Hinged Plane Tessellation
  • 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
  • |Contact| |Front page| |Contents| |Geometry|

    Copyright © 1996-2018 Alexander Bogomolny

    71493748