Michel Henon in 1976 introduced the Henon function which describes a transformation rule for a point x, y as follows:
x1, y1 maps to y + 1 - 1.4x^2, 0.3x
Irrespective of the initial point provided it is not very far from the origin, you will see that as you create more points, they start lying along curved lines as shown here.
Python source code: https://github.com/amitsaha/random_co...
To learn more: http://en.wikipedia.org/wiki/H%C3%A9n...
Recommended reading: Fractals: A Very Short Introduction" by Falconer, Kenneth