Major
Mathematics
Access Type
Restricted Access
Abstract
It is well known that the Sierpinski triangle fractal can be generated through many iterations of the Chaos Game (CG). This project takes the concept of the CG and applies different modifications to the parameters of the game, builds a transition matrix for the steps in CG, and extracts interesting eigenvalues from the transition matrix.
Faculty Mentors & Instructors
Dr. Xiang Wan, Professor, Department of Mathematics and Statistics
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Exploration of Modifications to Markov Chains Constructing Fractals and Fractal-like Patterns
It is well known that the Sierpinski triangle fractal can be generated through many iterations of the Chaos Game (CG). This project takes the concept of the CG and applies different modifications to the parameters of the game, builds a transition matrix for the steps in CG, and extracts interesting eigenvalues from the transition matrix.