Fibonacci numbers and Ford circles
Number Theory
2020-03-03 v1
Abstract
An amusing connection between Ford circles, Fibonacci numbers, and golden ratio is shown. Namely, certain tangency points of Ford circles are concyclic and involve Fibonacci numbers. They form four circles that cut the x-axis at points related to the golden ratio.
Cite
@article{arxiv.2003.00852,
title = {Fibonacci numbers and Ford circles},
author = {Jerzy Kocik},
journal= {arXiv preprint arXiv:2003.00852},
year = {2020}
}
Comments
8 pages, 6 figures