Fractals are everywhere. Fractals relate to many different branches of science and mathematics. They relate to topology and geometry due to their displaying similarity on multiple scales. The dimension of a fractal is a point of discussion, as the creation of a fractal involves a theoretically infinite iteration. We can find many fractal shapes within the complex plane. The most famous of these are the Julia and Mandelbrot set. There is potential for fractals to be used in the world, assisting in understanding phenomenon and updating technology. Differing forms of fractals are seeing use in engineering, economics, and ecology.
Weber, Sebastian E., "The Scope of Fractals: Geometry, Iteration, Application" (2015). Senior Independent Study Theses. Paper 6532.
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2015 Sebastian E. Weber