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An Introduction to Fractal Geometry and its Application in the Simulation of Nature

Description
Formerly coined mathematical "monsters," fractals are a compelling concept that dates back hundreds of years. The idea that a shape or set of information could be infinitely deconstructed into multiple copies of itself is both confusing and brilliant. However, throughout its entire history, many scientists and mathematicians have repeatedly dismissed…

Formerly coined mathematical "monsters," fractals are a compelling concept that dates back hundreds of years. The idea that a shape or set of information could be infinitely deconstructed into multiple copies of itself is both confusing and brilliant. However, throughout its entire history, many scientists and mathematicians have repeatedly dismissed the applicability of self-similarity. The purpose of this study is to explore the path of development of fractal geometry and demonstrate its widely-ignored usefulness. While many students and professionals are unaware of this alternate system for describing natural processes and shapes, several disciplines can benefit from applying fractal geometry to their work.
ContributorsLippincott, Raquel Marie (Author) / Hansford, Dianne (Thesis director) / Kobayashi, Yoshihiro (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Computer Science and Engineering Program (Contributor) / Barrett, The Honors College (Contributor)
Created2017-05