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'Douady rabbit'
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| Title of object: |
Douady rabbit |
| Canonical Name: |
DouadyRabbit |
| Type: |
Example |
| Created on: |
2007-06-14 19:45:03 |
| Modified on: |
2007-06-14 19:45:03 |
| Classification: |
msc:28A80 |
Revision comment (for changes between this and next version):
| Changes for correction #12449 ('Douady rabbit'). |
Preamble:
% 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
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Content:
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 $.85i$ and still produce a connected set.
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