# Examples of Barnsley

The book **Fractals Everywhere** of Dr. Barnsley is the source of
several types of fractals adopted by Fractint.

Barnsley introduced the theory of Iterated function systems (IFS): with
a small set of affine transformations it is possible to generate every
type of self-similar fractals. The most frequent examples in the book are
ferns and Sierpinski triangles.

Based on IFS, Barnsley has a patent for an algorithm that compresses every
picture to FIF: fractal image format.

Fractint allows to generate some types of fern fractals; but the examples
below have nothing to do with IFS, they are just variations of the classical
function f(z)=z^{2}+c for the Mandelbrot set.

## Details of the set M1 of Barnsley (fractint-type 'barnsleym1'):

(with
Fractint 19.5 the image is less symetric than with Fractint 18.2 !)

Fractint's
color-cycling shows the *'geyser-effect'*.

## Detail of 'barnsleyj2':

Last update: 1996-11-20

Your comments are welcome! Mail to: Patrick
Hahn (phahn@vo.lu)

Homepage:
http://www2.vo.lu/homepages/phahn/default.htm