# my favorite discrete time dynamical system

Given a point in $\mathbb{R}^{3}$, the next point is:
$x_{n+1} = 2\cos(z_{n}-y_{n})$
$y_{n+1} = 2\sin(x_{n}-z_{n})$
$z_{n+1} = 7\cos(y_{n}-x_{n})$

You can see a high resolution visualization of this here:
http://owen.maresh.info.nyud.net:8080/vrungle-high.mpg