Work

Exploration of Modifications to Markov Chains Constructing Fractals and Fractal-like Patterns

Year: 2025

Type: conference-paper

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.

Source: Loyola eCommons (Loyola University of Chicago)

Author: Rager, Delaney

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7019063328

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