Welcome to the launch page for the Julia fractal drawing program first developed by Team Motivity and Rich Stankewitz of Ball State University, and then further developed by Wendy Conatser, Sida Qiu, and Ben Dean. This program is a specialized tool for the study of various dynamical systems.

The program JULIA is designed to draw (for allowable map types) the following types of sets in the complex plane:

1. Julia sets of a function.
    
2. Julia sets of rational semigroups.
    
3. Attractor sets of an Iterated Function System (IFS).
    
4. Iterates of a seed value under any of the allowable map types.
    
5. Postcritical sets (of finite order) of any function or semigroup of the allowable map types.
    
6. Forward and Inverse images (using any of the allowable map types) of the above sets or any sets imported into Julia.

Note:

Installation Information

You will be asked whether you trust the publisher of the software before it is run.

After the program has been installed and run once, it can be accessed either on or off-line through the Java Application Cache Viewer. Accessing the cache viewer on Windows XP is a bit tricky. Go to Start, ControlPanel, Java. On the General tab, under Temporary Internet Files, click on "View..." to access the cache viewer.

Note:

The cache viewer looks like this:

Select a program in the cache viewer and the control buttons become active.

From these buttons you can run the program either on or off-line, create a shortcut to the program, or uninstall the program. (To run the program off-line, press and hold the run button and two options will appear: run online or off-line. Select run off-line to run the program when there is no internet connection.)

Upgrading

Installation Link and Code

Launch Julia 2.0  - click on this to Download and Install Julia

Code available at http://code.google.com/p/julia/.  You can also Download and Install the old Julia 1.0 version by clicking here. 

General Program Features

The left hand panel contains input functions of one of 5 types: complex linear, complex cubic, complex Mobius, complex quadratic, or real affline linear. Add a new function to the input functions list using the Add a function button.

To produce output sets for viewing in the center graph, select one or more input functions (Control+click selects multiple functions) and hit the one of the buttons in the "Create Set" section. You may create Julia and Attractor sets using either the Random method or the Full method.

Output will appear in the center graph and the sets of points produced are listed down the right hand side of the program.

Help

Maintenence

Items to be added in the future:

• Expand the list of allowable map types (see http://www.bsu.edu/web/rstankewitz/JuliaHelp/AllowableMaps.htm).
• Allow parameters to be used when defining functions so that when the parameter value changes, so do all the corresponding maps.
• Create Input Functions which are compositions of different allowable maps.
• For Random methods allow the probabilities to be set by the user (right now these probabilities are all uniform).

If you encounter an error that is not listed here, or wish to make a suggestion for improvement, please email Rich Stankewitz.

Credits

Julia 1.0 was first developed by Team Motivity and Rich Stankewitz of Ball State University and then further developed into Julia 2.0 by Wendy Conatser, Sida Qiu, and Ben Dean.

• Wendy Conatser
• Trey Butz
• Yun Li
• Kristopher Hart

Questions and Comments

Questions and comments are welcome and should be sent to Rich Stankewitz. Please include the word "Julia" in the subject line of any correspondence.