Shrinkage Points of Golden Rectangle, Fibonacci Spirals, and Golden Spirals
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-20
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We investigated the golden rectangle and the related Fibonacci spiral and golden spiral.
The coordinates of the shrinkage points of a golden rectangle were derived.
Properties of shrinkage points were discussed.
Based on these properties, we conduct a comparison study for the Fibonacci spiral and golden spiral.
Their similarities and differences were looked into by examining their polar coordinate equations, polar radii, arm-radius angles, and curvatures.
The golden spiral has constant arm-radius angle and continuous curvature, while the Fibonacci spiral has cyclic varying arm-radius angle and discontinuous curvature.
American Psychological Association (APA)
Duan, Jun-Sheng. 2019. Shrinkage Points of Golden Rectangle, Fibonacci Spirals, and Golden Spirals. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1146323
Modern Language Association (MLA)
Duan, Jun-Sheng. Shrinkage Points of Golden Rectangle, Fibonacci Spirals, and Golden Spirals. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1146323
American Medical Association (AMA)
Duan, Jun-Sheng. Shrinkage Points of Golden Rectangle, Fibonacci Spirals, and Golden Spirals. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1146323
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146323
