Interactive Lab / The Barnsley Fern

Iterated Function System Discovered 1988

The Barnsley Fern

(x,y)↦(ax+by+e,  cx+dy+f),4 maps, weighted(x,y) \mapsto (ax+by+e,\; cx+dy+f), \quad \text{4 maps, weighted}
★Cool Fact
Four affine maps and a handful of numbers — under thirty in total — encode something as organically complex as a real frond. Barnsley’s original motivation was image compression.

Rendering…

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