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.
Faust, Dana, "Math Rules Everything Around Me: Ann Examination of Fractals and Their Real-World Applications" (2017). Senior Independent Study Theses. Paper 7755.
Fractals, Fractal Geometry, Cantor Set, Koch Curve, Sierpinski Triangle
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2017 Dana Faust