Fractal Information & Educational Resources
No matter what your level of interest in fractals is, you should be able to find what you are looking for from the many resources on this page! Everything from "What is a fractal", to more in-depth scientific information. If you are looking for educational information on fractals, fractal community resources & fractal groups, scientific information, or more general information, you've found a great resource! (More to come soon!)
If you are looking for fractal software programs check out my software page where you will find both Windows & MAC fractal software programs.
If you are looking for fractal tutorials be sure to check out the five step-by-step fractal tutorials I have written for Tiera-zon and XenoDream, as well as over twenty other fractal tutorials on the tutorials page.
Last, but not least, be sure to check out my fractal movies page where there are currently over a dozen in-depth fractal videos which examine & explore all aspects of fractals, from science, to mathematics, to art! Enjoy!
Fractal Links & Resources
- Fractal Geometry - A Yale course by Michael Frame, Benoit Mandelbrot, and Nial Neger (No math required!)
- Great resource for information on fractals. A Yale course by Michael Frame, Benoit Mandelbrot, and Nial Neger. Description on their site: "This is a collection of pages meant to support a first course in fractal geometry for students without especially strong mathematical preparation, or any particular interest in science. Each of the topics contains examples of fractals in the arts, humanities, or social sciences."
- SuperFractals by Michael F Barnsley
- Michael F Barnsley is another "giant" in the world of fractals. This is his website, and definitely worth checking out.
- The Mandelbrot and Julia sets Anatomy
- The Mandelbrot and Julia sets Anatomy An excellent series that covers all aspects of the mandelbrot set.
- The Chaos Hypertextbook
- The Chaos Hypertextbook. This is an online textbook and a good resource if you have a strong interest in mathematics. From thhe site: "A book for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge..."
- Coolmath.com (Good Kids site)
- Coolmath.com This is a website designed for fun & learning about math, including fractals! In their words:"An amusement park of math and more... designed for fun!" The fractal indormation is on their Geometry Art link.
- Thinkquest Fractal Tutorial (Good Laymans Tutorial)
- ThinkQuest Fractal Tutorial Good tutorial that covers the basics of fractals, including layman explanations of iterations, fractal dimension, self similarity etc. From their website: "We did not assume any special knowledge in the reader other than very basic math".
- Famous Fractals
- Famous Fractals Another ThinQuest site. A collection fractals that are famous enough to have their own names! For every fractal example type listed here, you will also find generations methods and interesting facts. This section can also serve as a good collection of examples for topics such as the calculation of fractal dimension,length, area, and volume.
- Fractal Types
- Fractal Types This covers all the main fractal types, examples, information about them etc. Good basic information on these fractals.
- An Introduction To Fractals
- Fractal Introduction Paul Bourke's very good tutorial covering many aspects of fractals, including examples etc.
- sci.fractals FAQ
- sci.fractals FAQ This "summary" of all things fractal has been around from about the mid 1990's, but is a good resource for general questions. Many outdated links etc., but worth checking out.
- Google Earth Fractal Images
- Google Earth Fractals I have been fascinated for some time by fractalpatterns found throughout nature. I have seen some amazing patterns of the earth, from space, that show fractals. Paul Bourke beat me to putting something online to demonstrate this, but is very cool! He's put together a webpage that clearly shows fractal patterns from satelite imagery.
- Fractal Article Series
- MBF Lite Years ago Ingvar Kullberg started posting a series of articels to the fractal newsgroups. Newsgroups were the place for fractal artists to get together, share their work, and to see other artists work in the early days of fractals! I used to be fairly active and remember Ingvar's articles. This series that he wrote is a very interesting and has lot's of information. Check it out!
- Fractal Mathematics
- Fractal Mathematics Very good information on a variety of fractal types. From their site: "Descriptions of the mathematics behind the fractal art"
- Cornell's Chaos & Fractals
- Cornell's Chaos & Fractals is a short series of online articles that cover the theory of Fractalsand chaos.
- The Mandelbrot Set and Julia Sets
- The Mandelbrot Set and Julia Sets Examples of Julia sets and how they relate to the mandelbrot set.
- Julia Jewels
- Julia Jewels An Exploration of Julia Sets is a good resource for better understanding Julia sets.
- Mu-Ency - The Encyclopedia of the Mandelbrot Set
- Mu-Ency - The Encyclopedia of the Mandelbrot Set This is an interesting website that explores many different aspects of the Mandelbrot set.
Fractal Social Groups
There are a number of Fractal Groups, which are essentially a common meeting ground for fractal enthusiests. These are generally centered around a particular fractal program, and are a great resource if you are looking for an answer about a specific aspect of that program. It is also often a place to post your creations and get feedback etc.
- XenoDream Users Group
- XD Users Group is a very good resource for XD questions. Garth, the author of the program, is an active participant and is quick to answer questions. Also a good source for getting ideas, useful tips etc. From their website: A forum for technical support and discussion of XenoDream 3D IFS fractal graphics software.
- XenoDream Pics User Group
- XD Pics User Group A forum for sharing XenoDream pictures, parameter files and presets, and discussion. XenoDream uses 3D IFS fractals as well as lighting and layers.
- SpangFract User Group (MAC)
- Spangfract User Group User group for the MAC fractal program. Good resource for getting answers on this program. David Smith, author of the program is generally active on this forum.
- Xaos Users (Mac & PC)
- Xaos users group is not a very active group, but does have some posts with useful information when searching for answers for various aspects of this program.
Online Fractal Generators
Online fractal generators are a great way to quickly explore fractals for free, and without installing any programs on your computer. Check these sites out!
- Fractalia is a very cool online fractal generator created by Ladi. Check it out! Note: This requires Microsoft's free Silverlight Plug-In for your web browser in order to work.
- The Fractal Microscope
- Fractal Microscope Another very cool online generator, with many options to experiment with.
- Black Saturn Mandelbrot Set Explorer
- Black Saturn Mandelbrot Set Explorer Another nice online fractal explorer. This one requires Java to be installed which is usually installed already on most computers.
- Mandelbrot Explorer
- Mandelbrot Explorer A simple explorer that allows zooms into the Mandelbrot set.
- Mandelbrot & Julia Set Explorer
- Mandelbrot Julia Set Explorer This is a nice little online generator which instantly displays a Julia Set for any area in the Mandelbrot set. It also has some additional paramters that you can set.