On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929719820156928 |
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| author | Sagmeister, Ádám |
| author_facet | Sagmeister, Ádám |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03666 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons Sagmeister, Ádám Metric Geometry 51M09, 51M10, 52A55 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. |
| title | On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons |
| topic | Metric Geometry 51M09, 51M10, 52A55 |
| url | https://arxiv.org/abs/2410.03666 |