Lorenz attractor timestep animation

Use the arrow and stop buttons to change the rotation direction or stop it

Three different starting points generate the green, blue and magenta paths. The starting points are very close together, and initially overlap, looking like a single blue path. The chaotic nature of the Lorenz attractor is evident as the paths diverge over time.

This animation runs 2000 iterations with a timestep of 0.01, with starting positions (1, 1, 1), (1, 1, 1.01), (1, 1.01, 1). The equations used are:

where s = 28, r = 10 and b = 8/3.