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A demonstration of equidecomposability in two dimensions.

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Equidecomposability2d

A demonstration of equidecomposability in two dimensions.

Equidecomposability is the theorem that given two polygons of equal area, one can be transformed into the other using only a series of cuts, translations, and rotations. The theorem is demonstrated by animating the transformation of a drawn polygon into a square with the same area. If any polygon can be transformed into a square then any polygon can be transformed into any other polygon with the same area through the square. See Wallace–Bolyai–Gerwien theorem for more info.

Usage

  • Left click to add a vertice
  • Right click to close the shape

Open the html file in a web brower or just go to the Github Pages deployment to try it out.

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A demonstration of equidecomposability in two dimensions.

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