Ford Circles

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
The Farey sequence for a positive integer
is the set of irreducible rational numbers
with
and
. For example,
is
,
. The Ford circle
has radius
and center
. It is tangent to the x axis at
and to the circles corresponding to the two neighbors of
in
.
Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Ford Circles"
http://demonstrations.wolfram.com/FordCircles/
Wolfram Demonstrations Project
Published: March 7 2011