The Scottish biologist D’Arcy once said “God always geometrizes.” The idea behind this statement is mathematics is everywhere and is always present even when it is not fully perceived. Fractal geometry is a concept introduced by Benoît Mandelbrot in 1975, a concept which at the beginning was not supported by other mathematicians. Fractal can be generated by performing some calculations in which the answer of an equation is fed back into the beginning. This study seeks to show some of the various ways in which fractals can be useful. This study is descriptive which includes historical, qualitative data, and comparison of data. Also parts of the studies presented have been validated by past researches. In this study I compare fractals that have been generated to those that are natural, and demonstrate their importance and efficiency when used as models.
Semester/Year of Award
Associate Professor Mathematics & Statistics
Restricted Access Thesis
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Paxtle, Jeniffer, "Fractal Dimensions" (2017). Honors Theses. 467.