Fractal rendered by the Ring Segments Method
The image at left depicts a Mandelbrot set of Newton's method solution for the equation z4+(c 1)z2 c=0 rendered by the Ring Segments Method. Fractal (self-similar shapes that repeat themselves on increasingly smaller-length scales) sets are used extensively in computer graphics to build interesting, "natural-looking" clouds, plants, landscapes, sea surfaces, etc. They are also used in medical applications, for example, to model organs (lungs) or blood vessel networks. This fractal set was created by Paul Carlson, a computer programmer who has written at least a dozen fractal-generating programs over the years and his fractals have appeared in numerous published books.
Image credit: ©Paul Carlson