On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons
Metric Geometry
2025-02-20 v2
Abstract
A convex body in the hyperbolic plane is reduced if any convex body has a smaller minimal width than . 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.
Cite
@article{arxiv.2410.03666,
title = {On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons},
author = {Ádám Sagmeister},
journal= {arXiv preprint arXiv:2410.03666},
year = {2025}
}
Comments
13 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2403.11360