10105
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Ford Circles
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
SNAPSHOTS
RELATED LINKS
Ford Circle
(
Wolfram
MathWorld
)
Farey Sequence
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Ford Circles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FordCircles/
Contributed by:
Ed Pegg Jr
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 »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Circles and Ellipses
Ed Pegg Jr
Lattice Circles
Ed Pegg Jr
The Circles of Descartes
Ed Pegg Jr
Rolling Wheel with Spoke
Michael Trott
Spieker Center Triangle Construction
Theodore Gray
Two Wheel Belt
Ed Pegg Jr
Number-Theoretic Construction of Digital Circles
Aniket Jha (BTech Student IIT KGP), Partha Bhowmick (IIT KGP), and B. B. Bhattacharya (ISI Kolkata)
Repeating Continued Fractions
Ed Pegg Jr
Graphs of the Successive Digits of Rational Numbers
Daniel de Souza Carvalho
Collatz Conjecture on a Circle
Hector Sanchez
Related Topics
Number Theory
High School Finite Mathematics
High School Geometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+