Euclid's orchard
In mathematics, informally speaking, Euclid's orchard is an array of one-dimensional "trees" of unit height planted at the lattice points in one quadrant of a square lattice. More formally, Euclid's orchard is the set of line segments from to, where i and j are positive integers.
The trees visible from the origin are those at lattice points, where m and n are coprime, i.e., where the fraction is in reduced form. The name Euclid's orchard is derived from the Euclidean algorithm.
If the orchard is projected relative to the origin onto the plane the tops of the trees form a graph of Thomae's function. The point projects to
