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.
___________
1st edition: 30 Apr 2000
| HOME | Pentominoes | More about pentominoes | The cube | 3D pentominoes | Polysexes | Sexominoes | Xominoes | SexeHexeS | More about SexeHexeS | How we did it | Other Sexehex Puzzle | Chronicle | My Solution | Zucca's Puzzle | Domino Puzzle | SexCubes | Dodecaculeus | Tubominoes | Fourier Series of a Square | Order 13 Perfect Square | Fibonacci Machine | Download | Links |
Index
