Let be a rational function

(1) |

For a Julia set with , the Capacity Dimension is

(2) |

Quadratic Julia sets are generated by the quadratic mapping

(3) |

**References**

Dickau, R. M. ``Julia Sets.'' http://forum.swarthmore.edu/advanced/robertd/julias.html.

Dickau, R. M. ``Another Method for Calculating Julia Sets.'' http://forum.swarthmore.edu/advanced/robertd/inversejulia.html.

Douady, A. ``Julia Sets and the Mandelbrot Set.'' In *The Beauty of Fractals: Images of Complex Dynamical Systems*
(Ed. H.-O. Peitgen and D. H. Richter). Berlin: Springer-Verlag, p. 161, 1986.

Lauwerier, H. *Fractals: Endlessly Repeated Geometric Figures.* Princeton, NJ: Princeton University Press,
pp. 124-126, 138-148, and 177-179, 1991.

Peitgen, H.-O. and Saupe, D. (Eds.). ``The Julia Set,'' ``Julia Sets as Basin Boundaries,'' ``Other Julia Sets,'' and
``Exploring Julia Sets.'' §3.3.2 to 3.3.5 in *The Science of Fractal Images.*
New York: Springer-Verlag, pp. 152-163, 1988.

Schroeder, M. *Fractals, Chaos, Power Laws.* New York: W. H. Freeman, p. 39, 1991.

Wagon, S. ``Julia Sets.'' §5.4 in *Mathematica in Action.* New York: W. H. Freeman, pp. 163-178, 1991.

© 1996-9

1999-05-25