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

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 Fabińska.

arXiv comment13 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2403.11360