DouadyRabbit 2007-06-14 19:45:03 2007-06-15 13:40:54 Example quadratic Julia set % this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) \usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here The {\em Douady rabbit} is a \PMlinkname{Julia set}{SetDeJulia} produced by $$c = -\frac{1}{8} + \frac{3}{4}i.$$ \begin{center} \includegraphics{DouadyRabbit_firstDraft} \end{center} As the Mandelbrot set indicates, the real part can be varied to as much as $-.2$ while the imaginary part can be varied to as much as $.75i$ and still produce a connected set.