Math Rules Everything Around Me: Ann Examination of Fractals and Their Real-World Applications

Authors

Dana Faust, The College of WoosterFollow

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

Recommended Citation

Faust, Dana, "Math Rules Everything Around Me: Ann Examination of Fractals and Their Real-World Applications" (2017). Senior Independent Study Theses. Paper 7755.
https://openworks.wooster.edu/independentstudy/7755

Disciplines

Other Mathematics

Keywords

Fractals, Fractal Geometry, Cantor Set, Koch Curve, Sierpinski Triangle

Publication Date

2017

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis