Bicentric configurations of pentagonal linkages
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913993332883456 |
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| author | Diakvnishvili, Ana |
| author_facet | Diakvnishvili, Ana |
| contents | Let $P$ be a planar $n$-gon with the sidelengths $a_1, \ldots, a_n$ and let us denote by $L=L(P)$ the corresponding planar polygonal linkage. We are concerned with the problem of finding conditions on the sidelengths $a_i$ which guarantee the existence of a bicentric configuration of $L$. Specifically, we present some related results on tangential and chordal polygons and characterize pentagonal linkages having bicentric configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11427 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bicentric configurations of pentagonal linkages Diakvnishvili, Ana Algebraic Geometry 2010: 52C35, 32S40 Let $P$ be a planar $n$-gon with the sidelengths $a_1, \ldots, a_n$ and let us denote by $L=L(P)$ the corresponding planar polygonal linkage. We are concerned with the problem of finding conditions on the sidelengths $a_i$ which guarantee the existence of a bicentric configuration of $L$. Specifically, we present some related results on tangential and chordal polygons and characterize pentagonal linkages having bicentric configurations. |
| title | Bicentric configurations of pentagonal linkages |
| topic | Algebraic Geometry 2010: 52C35, 32S40 |
| url | https://arxiv.org/abs/2508.11427 |