On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons

Ádám Sagmeister

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arXiv · 2410.03666

On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons

Ádám Sagmeister

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Abstract

A convex body $R$ in the hyperbolic plane is reduced if any convex body $K\subset R$ has a smaller minimal width than $R$. We answer a few of Lassak's questions about ordinary reduced polygons regarding its perimeter, diameter and circumradius, and we also obtain a hyperbolic extension of a result of Fabi\'nska.

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Ádám Sagmeister. 2024-09-03. On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons. https://arxiv.org/abs/2410.03666

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