Abstract
The Golden Ratio, also known as the Golden Section, exists as a proportion of lengths. Calculated to be approximately 1.61803, the Golden Ratio is closely related to the Fibonacci numbers and other topics in mathematics such as the continued fraction. In addition to its relationship to the Fibonacci numbers, the Golden Ratio is closely connected to many geometric shapes including the regular pentagon, the regular pentagram, certain rectangles, and the dodecahedron. Often thought to have an aesthetically pleasing effect, the Golden Ratio can be found in objects in nature, paintings, music composition, and musical instruments.
Advisor
Bowen, Jennifer
Department
Mathematics
Recommended Citation
Etheridge, Marjorie Rose E., "An Examination of the Golden Ratio in Nature and Music" (2015). Senior Independent Study Theses. Paper 6555.
https://openworks.wooster.edu/independentstudy/6555
Disciplines
Algebraic Geometry | Number Theory
Keywords
Golden Ratio, Divine Proportion, Golden Section, Golden Ratio in music, Fibonacci numbers
Publication Date
2015
Degree Granted
Bachelor of Arts
Document Type
Senior Independent Study Thesis
© Copyright 2015 Marjorie Rose E. Etheridge