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In dynamical systems theory, the Gingerbreadman map is a chaotic 2D map. It is given by the transformation:

$$\begin{cases} x_{n+1} = 1 - y_n + |x_n|\\ y_{n+1} = x_n \end{cases}$$

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.