Fractal Canvas

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If your browser supports Java, you will see above an endless succession of fractal images produced by the iterated map xnew = a + bx + cx2 + dxy + ey + fy2, ynew = x, znew = y, with a through f chosen randomly over the range -3 to 3. Only those cases that are bounded and exhibit sensitive dependence on initial conditions (chaos) are exhibited. The other 99.7% are discarded. Each iterate is plotted at (x, y) in a hue proportional to z. Like snowflakes, these images come in infinite variety. Each one you see is new and almost certainly has never been seen before.

For more fractal images, see Sprott's Fractal Gallery

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