Opportunities for the Mathematical Sciences
Three-dimensional fractal set

This is the top view of a three-dimensional fractal set obtained by using different colors (and a nice rendering method) for points that end up in different regions after iterating a particular map from 3-space to itself.

Fractal sets are used extensively in computer graphics, to build interesting, "natural-looking" clouds, plants, landscapes, sea surfaces, .. They are also used in medical applications, to model organs (lungs) or blood vessel networks.

Figure credit: Paul Carlson.

URL for this and many other fractal sets: http://sprott.physics.wisc.edu/carlson.htm

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