# Mathematical art

My openprocessing page : Contains simple (online) programs with their code to visualize some mathematical phenomena.

### Refraction trajectories (video):

Foliation in Triangle Tiling Billiard:

Trajectories in equilateral triangles table

### Spirals using powers of complex numbers:

Go here for the animated version, and here for a video with these spirals.

### The orbit of the group $SL_2(\mathbb{Z})$ in the Poincare disc:

Shown below is part of the orbit $SL_2(\mathbb{Z}) g (0)$, where we let $g\in SL_2(\mathbb{R})$ change over time. On the left $g$ is in the diagonal group (which is why we see geodesics) and on the right it is in rotation group $SO_2(\mathbb{R})$ which is why we see circles. Go here for the interactive version.