De Jong Attractors — Image Pack

The De Jong map is a two-dimensional discrete dynamical system defined by four real parameters: x' = sin(a·y) − cos(b·x), y' = sin(c·x) − cos(d·y). It was popularized by Peter de Jong in the 1980s as a generator of dense, intricate attractor patterns. Iterating the map millions of times and recording every visited point produces lattices, weaves, and fractal embroideries with stunning fine structure — small changes in (a, b, c, d) reveal completely different worlds inside the same equation. Each image in this collection is a single set of parameters iterated at high density, with point-density coloring that reveals the underlying probability distribution of the map. The result feels woven, almost textile — patterns that emerge from pure trigonometric iteration.

x' = sin(a·y) − cos(b·x), y' = sin(c·x) − cos(d·y)