Title of article
Methods for counting the intersections of slopes in the flat torus
Author/Authors
Burke ، John Department of Mathematical Sciences - Rhode Island College , Burke ، Maitland Department of Mathematical Sciences - Rhode Island College , Pinheiro ، Leonardo Department of Mathematical Sciences - Rhode Island College , Richer ، Cameron Department of Mathematical Sciences - Rhode Island College
From page
305
To page
317
Abstract
We define slopes in the flat torus as the set of equivalence classes of the solutions of linear equations in R^2. 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.
Keywords
Torus , intersection of curves , counting methods
Journal title
Transactions on Combinatorics
Journal title
Transactions on Combinatorics
Record number
2772536
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