Finding Fibonacci in the Hyperbolic Plane
Geometric Topology
2024-04-09 v1
Abstract
We use a combinatorial approximation of the hyperbolic plane to investigate properties of hyperbolic geometry such as exponential growth of perimeter and area of disks, and the linear isoperimetric inequality. This calculations give a surprising link to Fibonacci numbers.
Cite
@article{arxiv.2404.04389,
title = {Finding Fibonacci in the Hyperbolic Plane},
author = {MurphyKate Montee},
journal= {arXiv preprint arXiv:2404.04389},
year = {2024}
}
Comments
To appear in Mathematics Magazine