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Bibliographic Details
Main Author: Montee, MurphyKate
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.04389
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author Montee, MurphyKate
author_facet Montee, MurphyKate
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_04389
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Finding Fibonacci in the Hyperbolic Plane
Montee, MurphyKate
Geometric Topology
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.
title Finding Fibonacci in the Hyperbolic Plane
topic Geometric Topology
url https://arxiv.org/abs/2404.04389