Each pixel in these images represents a point in the complex plane coloured according to the number of iterations required for a particular iterated polynomial function to diverge. By varying the region, polynomial, divergence test, and mapping from iteration count to color, we find that all kinds of amazing patterns emerge from extremely simple underlying math.
The program used to make these images was one of the first I ever wrote in 2005 and many of these images were generated around that time. While only low resolution versions are shown here, their fractal nature means detail is limited only by machine precision, and I have rendered some in high resolution to print nicely as large as 120x120cm (4ft). For most, 8000x8000 pixel images are available to the NFT owners (traded on Opensea).
