On a Conjecture on Sharygin Triangles

Fuente: arXiv
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Autore principale: Osipov, Nikolay
Natura: Preprint
Pubblicazione: 2024
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author Osipov, Nikolay
author_facet Osipov, Nikolay
contents By a simple method we prove the following conjecture on Sharygin triangles: there is only one Sharygin triangle (up to an isometry) whose vertices are chosen from the set of vertices of a regular polygon inscribed in a circle of radius 1.
format Preprint
id arxiv_https___arxiv_org_abs_2408_02968
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On a Conjecture on Sharygin Triangles
Osipov, Nikolay
Combinatorics
Metric Geometry
Number Theory
By a simple method we prove the following conjecture on Sharygin triangles: there is only one Sharygin triangle (up to an isometry) whose vertices are chosen from the set of vertices of a regular polygon inscribed in a circle of radius 1.
title On a Conjecture on Sharygin Triangles
topic Combinatorics
Metric Geometry
Number Theory
url https://arxiv.org/abs/2408.02968