Douady rabbit

The Douady rabbit is a Julia set (http://planetmath.org/SetDeJulia) produced by

$$c=-\frac{1}{8}+\frac{3}{4}i.$$

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.

Title	Douady rabbit
Canonical name	DouadyRabbit
Date of creation	2013-03-22 17:15:51
Last modified on	2013-03-22 17:15:51
Owner	PrimeFan (13766)
Last modified by	PrimeFan (13766)
Numerical id	5
Author	PrimeFan (13766)
Entry type	Example
Classification	msc 28A80