Document Type
Article
Publication Date
2025
DOI
10.1119/5.0209519
Publication Title
The Physics Teacher
Volume
63
Issue
1
Pages
A76-A77
Abstract
The article discusses different types of spirals, including Archimedean, hyperbolic, and logarithmic spirals, with a focus on the golden ratio and golden spirals. It addresses the misconception that golden rectangles and spirals can be found in various natural and man-made structures, emphasizing the importance of understanding the properties of logarithmic spirals. The article provides mathematical explanations and solutions for questions related to pitch angles and self-similarity in logarithmic spirals, using examples like the nautilus shell and an ammonite-like stone. It concludes by referencing additional sources for further exploration of the golden ratio and golden spiral myths.
Rights
© 2025 Author. Published under an exclusive license by American Association of Physics Teachers.
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in
Adam, J. (2025). Golden spirals everywhere?: Solutions for Fermi questions, January 2025. The Physics Teacher, 63(1), A76-A77. https://doi.org/10.1119/5.0209519
and may be found at https://doi.org/10.1119/5.0209519
Original Publication Citation
Adam, J. (2025). Golden spirals everywhere?: Solutions for Fermi questions, January 2025. The Physics Teacher, 63(1), A76-A77. https://doi.org/10.1119/5.0209519
ORCID
0000-0001-5537-2889 (Adam)
Repository Citation
Adam, John, "Golden Spirals Everywhere? Solutions for Fermi Questions, January 2025" (2025). Mathematics & Statistics Faculty Publications. 282.
https://digitalcommons.odu.edu/mathstat_fac_pubs/282