Gingerbreadman map for subset $Q^2, [-10..10,-10..10]$: the color of each point is related to the relative orbit period. To view the gingerbread man, you must rotate the image 135 degrees clockwise.
$\begin{cases} x_{n+1} = 1 - y_n + |x_n|\\ y_{n+1} = x_n \end{cases}$