Regular dodecagon area (visual proof without words)

This is a short, animated visual proof demonstrating that the area of a regular dodecagon inscribed in the unit circle has an area of exactly 3.

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This animation is based on a proof by Roger B. Nelsen from the January 2015 issue of The College Mathematics Journal page 10 (doi.org/10.4169/college.math.j.46.1.10 ).

After I created this, I found another wonderful animation of this same visual proof :    • Area of dodecagon | Beautiful geometry | V...   (though the animator there does not cite the original visual proof from Nelsen).

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