Constructing a Square of Equal Area to a given Polygon

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About the video:
1. Pick any polygon
2. Split it up into triangles (While it is trivial to triangulate any convex polygon it is has been proven that any polygon, convex or concave, can be decomposed into triangles and there are many triangulation techniques).
3. Construct a rectangle of equal area for each triangle.
4. Construct a square of equal area for each rectangle.
5. Construct a larger square equal to the sum of each smaller squares via Pythagorean Theorem.

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Any further questions:
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Programs used:
► Cinema 4D
► Processing

Music by
► Lee:    • (FREE) Lo-fi Type Beat - Depths of Love