Fibonometry and Beyond
Nikhil Byrapuram, Adam Ge, Selena Ge, Tanya Khovanova, Sylvia Zia Lee,, Rajarshi Mandal, Gordon Redwine, Soham Samanta, Daniel Wu, Danyang Xu, and, Ray Zhao
TL;DR
This paper explores the connection between Fibonacci numbers and trigonometry, building on Conway and Ryba's work, and presents generalizations and new insights into fibonometrical relationships.
Contribution
It introduces novel generalizations of fibonometrical concepts beyond Conway and Ryba's original work, expanding understanding of Fibonacci-related trigonometric identities.
Findings
Identified new fibonometrical identities
Generalized Fibonacci-trigonometry relationships
Summarized historical and recent developments
Abstract
In 2013, Conway and Ryba wrote a fascinating paper called Fibonometry. The paper, as one might guess, is about the connection between Fibonacci numbers and trigonometry. We were fascinated by this paper and looked at how we could generalize it. We discovered that we weren't the first. In this paper, we describe our journey and summarize the results.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · History and Theory of Mathematics · Mathematics and Applications