Project 1: Fractal Implementation

Due date: Sunday September 30th 10:00 PM

For your first project you will create a Fractal viewer. The fractal viewer will show multiple fractals and display them in different color schemes. You must implement at least two different fractals and three different color schemes. One of those fractals must be a Mandelbrot fractal.

The Mandelbrot Set is a common fractal, that you have likely seen many times. If not, feel free to familiarize yourself with it: MathWorld, Wikipedia. There are easily hundreds of online resources explaining and exploring the Mandelbrot fractal. There are also hundreds of code examples. Try not to use these, instead understand how the rendering works, look at pseudocode and explanations online. If you don't understand, ask me!

You must implement a second fractal type. This should be a variant of the Julia Set. It should look like one of these. For more information on the Julia Set, again see MathWorld. You should include in your code comments the value of c that you have selected for your rendering.

Your program should execute as follows:

java FractalApp [ fractal-type [ color-scheme [x-view y-view width height] ] ]

• fractal-type is a single word that describe the type of fractal to load. Acceptable arguments are "mandelbrot" or "julia"
• color-scheme is a single word that describes one of the possible color schemes
• x-view is a Double number that represents the x-value of the top left corner of the area to be displayed.
• y-view is a Double number that represents the y-value of the top left corner of the area to be displayed.
• width is a Double number that represents the width of the area to be displayed.
• height is a Double number that represents the height of the area to be displayed.

All six of these arguments will be optional.
If no fractal-type is supplied the default Mandelbrot should be used.
If no color-scheme is supplied one of your color schemes should be selected as the default.
Your program should expect all four numerical window coordinates, or none. The default should be: -2 -2 6 4

For example, assuming you have a color-scheme designated as green, your program should correctly run with the following commands (and more!):

java FractalApp
java FractalApp mandelbrot green
java FractalApp julia green
java FractalApp mandelbrot green -1 -2 50 10
java FractalApp mandelbrot green -2.1 -1.3 3 2

The last of these commands is displayed below

You must provide me with the correct Strings to call your color schemes (e.g., green, grayscale, rainbow)

Remember, we (myself and the TAs) are here to help. Ask us questions, explore online resources, find solutions.

Starter download: Fractal.zip, 4 files.

• FractalApp.java -- main class, you will need to implement the main method and handle the arguments correctly
• FractalPanel.java -- this will do the drawing for you, you should not need to modify this code
• FractalCalculator.java -- this provides an interface for calculating the value of a point in space, you should not need to modify this code
• FractalRenderer.java -- this provides an interface for coloring the pixels based on its location and value, you should not need to modify this code

Grading

• 20 pts for each fractal implementation
• 10 pts for each color-scheme implementation
• 10 pts for correctly loading string args
• 20 pts for using interfaces properly, general style, discretion
• Note: your program must compile and run, and must come with documentation of your color-schemes and Julia Set choice

What should you turn in?

• your FractalApp.java with a working main method
• your Mandelbrot calculator and your Julia calculator
• your three renderers

Sets:
nameofSet
nameofSet
Color:
scheme
scheme
scheme

Updates

Updated description of what you should turn in.

Frequently Asked Questions

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