Homework 05

Triangles! Oh Fractals!

Due 03/28/2025 by 11:55PM

Objective:

Write a program in which it draws a triangular fractal called Sierpinski’s Triangle using recursion and Java Swing.

Requirements:

• Functionality. (80pts)
• No Syntax, Major Run-Time, or Major Logic Errors. (80pts*)
• *Code that cannot be compiled due to syntax errors is nonfunctional code and will receive no points for this entire section.
• *Code that cannot be executed or tested due to major run-time or logic errors is nonfunctional code and will receive no points for this entire section.
• Recursive Method (50pts)
• A recursive method must be the primary way each triangle is drawn.
• It must determine the positions of each of the 3 points to be drawn.
• This recursive method must not be infinite and must stop when it reaches a pixel limit of 4.
• Draw the Image (40pts)
• The fractal must be drawn using a Graphical User Interface (GUI).
• See examples below.
• Run-Time and Logic Error Checking. (10pts)
• Each major function must check for common run-time and logic errors.
• Coding Style. (10pts)
• Code functionality organized within multiple methods other than the main method, and methods organized within multiple classes where appropriate. (5pts)
• Readable Code (5pts)
• Meaningful identifiers for data and methods.
• Proper indentation that clearly identifies statements within the body of a class, a method, a branching statement, a loop statement, etc.
• All the above must apply for full credit.
• Comments. (10pts)
• Your name in the file. (5pts)
• At least 5 meaningful comments in addition to your name. These must describe the function of the code it is near. (5pts)

Suggested Methodology

The idea for it is this

1. First draw a filled triangle
2. Next draw another filled triangle of a different color that’s upside down in the middle of that triangle
3. Using the other triangles formed repeat step 2 until a pixel limit of 4 is reached

Additional Notes:

• JFrame and Canvas are two types that may help.
• The method fillPolygon(int[] xPoints, int[] yPoint, numberOfPoints) as called by the graphics device is important
• The method setColor(Color aColor) is important for picking different colors to draw things.

Example Image of Results:

Finally:

• Upload the source code file or files (.JAVA File Extension) to Homework05
• To Blackboard
• Following these instructions.
• If there are problems, then let the instructor know as soon as possible.