Abstract

The golden ratio, or phi (φ = 1.6180339887...), is a ratio that has interested mathematicians as well as artists, philosophers, and many others for over 2,000 years. For some this interest stemmed from its vast mathematical properties, while others were more interested in its supposed aesthetic appeal. This Independent Study explores the properties and appearances of the golden ratio throughout mathematics, the arts, and nature. It examines topics in mathematics including connections to the Fibonacci sequence, continued fractions, fractals, geometry, and Penrose tiling. In addition, it discusses other subjects in which the golden ratio is present including its history throughout art, architecture, and writing as well as looking at the more scientific appearances in quasicrystals and phyllotaxis.

Advisor

Pierce, Pamela

Department

Mathematics

Disciplines

Applied Mathematics

Publication Date

2013

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis

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© Copyright 2013 Emily Williams