Representation and coding of rational pairs on a triangular tree and Diophantine approximation in $\mathbb R^2$
Claudio Bonanno, Alessio Del Vigna · Acta Arithmetica · 2021
We study the properties of the Triangular Tree, a complete tree of rational pairs introduced by Bonanno et al. (2021), in analogy with the main properties of the Farey tree (or Stern–Brocot tree). To our knowledge the Triangular Tree is the first g