Simulations

The Lorenz attractor

The Lorenz system is three simple equations whose solution never repeats and never settles: the standard picture of chaos. This draws it with Python's turtle graphics, one step at a time, so you watch the butterfly shape appear.

Pi by Monte Carlo

A second-year project at Plymouth. Scatter random points over a square with a circle drawn inside it. The share that land inside the circle gives you pi, and the more points you throw, the closer it gets. The program shows the points landing and the estimate settling.