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Finding Fibonacci in the Hyperbolic Plane

2024/04/05 by Montee, MurphyKate
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2404.04389

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.

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