# Fractals

Here are some pictures from my July 13, 2004 talk at the Texas State Honors
Summer Math Camp. All images are 2048 x 1536 and in PNG format.

## Mandelbrot Set

## Julia Sets

This is the Julia set of *z*^2 + (0.12 - 0.6*i*)
(each image is magnified 1000 times from the previous).

These are Julia sets of *z*^2 + *c* where *c* is -0.8
- 0.15*i* and -0.8 - 0.175*i*, respectively.

## Julia / Mandelbrot comparison

The following pairs show the Julia set of *z*^2 + *c* and
the Mandelbrot set near *c* for a few different values of
*c*.
*c = -i*

*c* approximately 0.395014 + 0.555625*i*

*c* approximately -0.564098 + 0.679273*i*