Farey sequence
- Author:
- Alex Briasco-Brin
Farey sequences are ordered lists of all the possible reduced proper fractions between zero and one, with positive denominators between 1 and an integer n.
Farey sequence 1: 0/1 , 1/1
Farey sequence 2: 0/1 , 1/2 , 1/1
Farey sequence 3: 0/1 , 1/3 , 1/2 , 2/3 , 1/1
Farey sequence 4: 0/1 , 1/4 , 1/3 , 1/2 , 2/3 , 3/4 , 1/1
Farey sequence 5: 0/1 , 1/5 , 1/4 , 1/3 , 2/5 , 1/2 , 3/5 , 2/3 , 3/4 , 4/5 , 1/1
Challenge: What's Farey sequence 6?
Challenge: Use this applet to represent a Farey sequence, with Ford circles.
Ford circles are named after Lester Ford, and Farey fractions are named after John Farey.