METHODS FOR COUNTING THE INTERSECTIONS OF SLOPES IN THE FLAT TORUS

被引：0

作者：

Burke, John ^{[1
]}

Burke, Maitland ^{[1
]}

Pinheiro, Leonardo ^{[1
]}

Richer, Cameron ^{[1
]}

机构：

[1] Rhode Isl Coll, Dept Math Sci, 600 Mt Pleasant Ave, Providence, RI 02908 USA

来源：

TRANSACTIONS ON COMBINATORICS | 2024年 / 13卷 / 04期

关键词：

counting method; intersection of curves; torus;

D O I：

10.22108/toc.2023.135546.2023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define slopes in the flat torus as the set of equivalence classes of the solutions of linear equations in R2. The definition is equivalent to that of closed geodesics in the flat torus passing through the equivalence class of the point (0, 0). In this paper we derive formulas for counting the number of points in the intersection of multiple slopes in the flat torus.

引用

页码：305 / 317

页数：13