Abstract

A fractal is a mathematical pattern that has several distinct features. Firstly, it must exhibit self-similarity within itself. Secondly, it must have a unique, non-integer dimension. These features of fractals are discussed for both regular and irregular fractals. Three regular fractals are examined; the Cantor set, the Koch curve, and the Sierpinski Triangle. Irregular fractals are discussed in the context of practical applications in the fields of geology and art. Relevant proofs and equations for understanding these concepts are also included in their corresponding discussions.

Advisor

Pierce, Pamela

Department

Mathematics

Disciplines

Other Mathematics

Publication Date

2017

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis

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© Copyright 2017 Dana Faust