论文标题
平面晶格中理性角度的分类
Classification of rational angles in plane lattices
论文作者
论文摘要
本文与平面晶格中的点配置有关，该晶格确定了$π$的合理倍数的角度。我们将研究在给定的晶格中可能出现多少此类角度，并在哪些位置出现，允许晶格变化。事实证明，这种分类比预期的要简单得多，甚至导致参数化涉及正属属的某些代数曲线上的理性点。
This paper is concerned with configurations of points in a plane lattice which determine angles that are rational multiples of $π$. We shall study how many such angles may appear in a given lattice and in which positions, allowing the lattice to vary arbitrarily. This classification turns out to be much less simple than could be expected, leading even to parametrizations involving rational points on certain algebraic curves of positive genus.Bulletin of the American Mathematical Society
