Fourier Series of a Square
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!!!
Mother-Nature already knew it.
We are working to extract the Fourier series of a Xomino and other interesting polygons.
1st edition: 30 Apr 2000
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