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.
Williams, Emily, "The Golden Ratio" (2013). Senior Independent Study Theses. Paper 959.
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2013 Emily Williams