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<p>This paper is a continuation of an earlier one, and completes a classification of the configurations of points in a plane lattice that determine angles that are rational multiples of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\pi \)</EquationSource> </InlineEquation>. We give a complete and explicit description of lattices according to which of these configurations can be found among their points.</p>

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Classification of rational angles in plane lattices II

  • 期刊论文

  • 发表日期：

    2025年8月29日

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  • Roberto Dvornicich,
  • Davide Lombardo,
  • Francesco Veneziano,
  • Umberto Zannier

摘要

This paper is a continuation of an earlier one, and completes a classification of the configurations of points in a plane lattice that determine angles that are rational multiples of \(\pi \) . We give a complete and explicit description of lattices according to which of these configurations can be found among their points.