Fun with Chaos Attractors
The Clifford attractor is a 2D strange attractor defined by the iterative map: $$ \begin{aligned} x_{n+1} &= \sin(a \cdot y_n) + c \cdot \cos(a \cdot x_n) \\ y_{n+1} &= \sin(b \cdot x_n) + d \cdot \cos(b \cdot y_n) \end{aligned} $$With parameters $a = 1.8$, $b = -1.9$, $c = 1.0$, $d = 1.5$, the system traces out intricate fractal structures. The image above was generated from 300 million iterations, rendered as a density histogram with logarithmic scaling to reveal the fine detail in regions where the trajectory lingers. ...