Assignment 74 - Fractals

Example Output

Learning Outcomes

1. 2D Arrays
2. Loops
3. Visualization

Goals

1. Learn how to use the BRIDGES ColorGrid to display the Mandelbrot set
2. Implement complex number operations within loops to generate fractals
3. Set pixel colors dynamically based on convergence rates in the Mandelbrot set

Description

Mandelbrot Set The Mandelbrot set is a well-known fractal defined by iterating the equation z = z^2 + c in the complex plane, where points that do not diverge after many iterations form the set.

Assignment

Use the BRIDGES ColorGrid to display the Mandelbrot set Perform complex arithmetic to calculate pixel values based on convergence Utilize loops to iterate over each pixel and assign appropriate colors

Examples

Generate and display the Mandelbrot set with custom resolutions and color schemes Modify the iteration limits or color mappings for variations Experiment with different ranges in the complex plane for zoom effects

Extensions

Help

for C++

ColorGrid documentation Color documentation Bridges class documentation

for Java

ColorGrid documentation Color documentation Bridges class documentation

for Python

ColorGrid documentation Color documentation Bridges class documentation