# 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.

### Prisoner

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.

**Subjects: ** Mathematics