Generalized Fractals and Their Dimensional Properties
Abstract
Fractals are intricate geometric structures exhibiting self-similarity and complexity at every scale, challenging traditional notions of dimensionality. Generalized fractals expand the classical concept, accommodating a broader range of mathematical and natural phenomena. This paper explores the foundational principles of generalized fractals, emphasizing their dimensional properties, particularly fractal dimensions. We discuss the mathematical definitions, properties, and implications of generalized fractal dimensions, highlighting their relevance in characterizing complex systems across disciplines.
How to Cite This Article
Alan Turing, Dr. Edward Lorenz, Benoît Mandelbrot (2025). Generalized Fractals and Their Dimensional Properties . International Journal of Applied Mathematics and Numerical Research (IJAMNR), 1(1), 11-12.