SL$_2 (\mathbb Z)$-tilings of the torus, Coxeter–Conway friezes and Farey triangulations
SL$_2 (\mathbb Z)$-tilings of the torus, Coxeter–Conway friezes and Farey triangulations
The notion of SL _2 -tiling is a generalization of that of classical Coxeter–Conway frieze pattern. We classify doubly antiperiodic SL _2 -tilings that contain a rectangular domain of positive integers. Every such SL _2 -tiling corresponds to a pair of frieze patterns and a unimodular 2 \times 2 -matrix …