Abstract
This project explores the generation and visualization of fractals using computational methods. Several well-known fractal structures, including the Koch Snowflake, Sierpinski Triangle, Mandelbrot Set, and Julia Set, were implemented using C++ and the SFML graphics library.
The study focuses on how simple mathematical rules, when applied recursively or iteratively, can produce highly complex and self-similar structures. For geometric fractals, recursive algorithms were used to subdivide shapes and generate patterns. For complex-plane fractals, iterative formulas were applied pixel-by-pixel to determine set membership and visualize escape behavior.
The results demonstrate that small changes in parameters, such as recursion depth or iteration count, can significantly affect the resulting patterns. This highlights the connection between mathematics, computation, and visual representation, showing how fractals reveal both order and complexity within simple systems.
Faculty Advisor
Keith Dreiling
Department/Program
Math
Submission Type
in-person poster
Date
4-13-2026
Rights
Copyright the Author(s)
Recommended Citation
Wei, Sihui
(2026)
"Fractals Exploration Through Computer Visualization,"
SACAD: Scholarly Activities: Vol. 2026, Article 76.
Available at:
https://scholars.fhsu.edu/sacad/vol2026/iss2026/76
