Farey Tree

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The Farey tree contains all the irreducible rational numbers between 0 and 1. It is constructed in stages consisting of the rationals with and . Each "child" is obtained by using Farey addition. A vertex labeled with is the child of the vertices and if .

Contributed by: Carlos Enrique Nosa Guzman (August 2022)
Open content licensed under CC BY-NC-SA



This Demonstration is based on [1, Chapter 1].


[1] A. Hatcher, Topology of Numbers, New York: Cornell University, 2018.

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