Farey Tree

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 .


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


This Demonstration is based on [1, Chapter 1].
[1] A. Hatcher, Topology of Numbers, New York: Cornell University, 2018.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.