Mandelbrot Set

The most famous fractal, named after Benoit Mandelbrot. It is created by iterating an equation many times.

"If the entire Mandelbrot set were placed on an ordinary sheet of paper, the tiny sections of boundary we examine would not fill the width of a hydrogen atom. Physicists think about such tiny objects; only mathematicians have microscopes fine enough to actually observe them."

John Ewing, Can We See the Mandelbrot Set?, The College Mathematics Journal, v. 26, no. 2, March 1995.


Values for c in the Julia Set or Mandelbrot set where at each iteration the resulting value becomes smaller and smaller, approaching zero.

See also: Escapees, Feigendaum Constants, Fractals.

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Subjects: Mathematics