fractals lecture

fractals

introduction

This is my page for the fractals lecture 2007/2008 at the Vienna University of Technology. I have done two exercises as Java Applets. The first exercise is a Mandelbrot/Juliaset viewer and the second is a Diffusion Limited Aggregation generator. Please follow the links below for accessing the source code and the applets on seperate pages.

mandelbrot/juliaset

The Mandelbrot/Juliaset viewer shows a Mandelbrot fractal. You can press the left mouse button to show the Juliaset at this position. Pressing the left mouse button again will go back to the Mandelbrotset. Please note that the Mandelbrotset is only calculated if necessary (e.g. at the beginning or when changing the color style).

Pressing the right mouse button will change the color style of the fractals. You will see some additional information on the panel including mouse coordinates and the maximum iteration depth. Below you could see a Mandelbrot Fractal and a corresponding Juliaset.

Fractals Image

Mandlebrot/Juliaset Java Applet
Mandlebrot/Juliaset Highlighted Source Code

dla generator

The DLA generator is simply started with the "Start" button on the top/right. After starting the button text changes to "Stop". If you press this button the processing is stopped and the text becomes "Start" again. Please note that you therefore can only restart the calculation from the beginning (there is no possibility to pause). The single points are colored depending on their age. Early points are painted red and later points become gradual darker. During the DLA processing the random walks are shortly highlighted in yellow if they are successful. When reaching a maximum of 1000 points the calculation is stopped automatically.

Below the Start/Stop button you will find two boxes where you can select the type of start and target region. There are two start regions (circle, rectangle) and two target regions (point, line). Please select the desired regions before starting the calculation. You will see some additional information on the panel about the count of DLA points, the current (virtual) screen size, the (virtual) pixel size and the actual dimension of the start region. On the left you could see a screenshot of the generation process including a highlighted random walk (in yellow).

DLA Generator Java Applet
DLA Generator Highlighted Source Code

downloads

The applets are provided under the terms of the Mozilla Public License.
Mandelbrot/Juliaset Applet (including source)
DLA Applet (including source)

BECAUSE THE PROGRAMS ARE LICENSED FREE OF CHARGE, THE COPYRIGHT HOLDERS PROVIDE THE PROGRAMS "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. IN NO EVENT WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR REDISTRIBUTE THE PROGRAM ACCORDING TO THE LICENSE, BE LIABLE TO YOU FOR DAMAGES (INCLUDING BUT NOT LIMITED TO LOSS OF DATA).

links

www.fractalus.com Fractal arts and promotion
Fractals and Chaos by Paul Bourke (including information about DLA)

I am not responsible for any contents linked or referred from this pages. The provided links should not be understood to be an endorsement of that website or the site's owners (or their products/services).