Squaring the circle скачать в хорошем качестве

Squaring the circle

The evolution of a wave front in a square domain, in the approximation of geometric optics (that is, without any dispersion or interference between the waves). In fact, the evolution of the curve is quite simple to obtain: take a circle with radius proportional to time, and as soon as it leaves the square, fold back, as often as needed, all parts of the circle that are outside the square. A more realistic simulation with dispersion and interference is here:    • Low sea in the square with diamonds   - you can try comparing the shape of the wave fronts in both simulations. Music: Down The Street Blues, by Unicorn Heads‪@UnicornHeads‬ Current version of the C code used to make these animations: https://github.com/nilsberglund-orlea... https://www.idpoisson.fr/berglund/sof... Some outreach articles on mathematics: https://images.math.cnrs.fr/_Berglund... (in French, some with a Spanish translation)