The Paul Carlson Fractal Museum

Phoenix Spirals

The images in this group were all created using Clifford Pickover's quartic variation of Ushiki's "Phoenix" Julia set equations: z_n+1 = z_n² – ½y + c, y = z, z = x. (See “The World of Chaos” by Clifford A. Pickover, in Computers in Physics Sep/Oct 1990). For these images, c = (0.563, 0.0) was used instead of c = (0.56667, 0.0) as given in Pickover's paper. These images were colored using the atan method (see "Atan Method Fractals," in the Atan Gallery). Here are a few images (480 x 640 x 256 colors) selected from Mr. Carlson's very large collection.