This applet generates Clifford Pickover's fractal popcorn. This fractal is produced through the iteration of a set of functions on a starting ordered pair (x, y) and plotting the subsequent points found through the iteration process. For this particular fractal, the functions are:

x_{n + 1} = x_{n} - h *
sin(y_{n} + tan(3y_{n}))

y_{n + 1} =
y_{n} - h * sin(x_{n} + tan(3x_{n}))

y

For this fractal, the value of h is set at 0.05. The iterative
process is applied to every tenth pixel, with each iteration being
plotted. The default number of iterations is 50, but this can be
changed by setting the `dots` parameter in a
`<param>` tag.

Copyright © 2005 — James Henstridge <james@jamesh.id.au>