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On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons https://arxiv.org/abs/2410.03666 #mathMG

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

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 Fabińska.

arXiv.org
October 9, 2024 at 3:10 AM · · feed2toot · 0 · 0 · 0
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