**Fourier Series of a Square**

*Livio Zucca*

*with the precious contribution of *** Danilo Minisini.**

Imagine to run around a polygon measuring the radius: you could generate a periodic wave.

Each periodic wave could be represented by a Fourier Series. Therefore this is our theorem:

*Each convex and each "not too concaves" plane figure could be represented by a Fourier Series.*

**A square, for example!**

Note: Each figure has the area = Pi-Greek. This is the true Squaring of the Circle!!!

**A Gastropod**

Mother-Nature already knew it.

We are working to extract the Fourier series of a Xomino and other interesting polygons.

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1st edition: 30 Apr 2000

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