English

On a Conjecture on Sharygin Triangles

Combinatorics 2024-08-07 v1 Metric Geometry Number Theory

Abstract

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.

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Cite

@article{arxiv.2408.02968,
  title  = {On a Conjecture on Sharygin Triangles},
  author = {Nikolay Osipov},
  journal= {arXiv preprint arXiv:2408.02968},
  year   = {2024}
}

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R2 v1 2026-06-28T18:05:03.515Z