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
X
X
X
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Ford Circle
(
Wolfram
MathWorld
)
Farey Sequence
(
Wolfram
MathWorld
)
"
Ford Circles
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FordCircles/
Contributed by:
Ed Pegg Jr
Analytic Geometry
Computational Geometry
Fractals
High School Geometry
Rational Numbers
Circles and Ellipses
Intersecting Circles
Rolling Wheel with Spoke
Asymmetric Propeller
Spieker Center Triangle Construction
Two Wheel Belt
Circles & Triangles
Parametrized Families of Circles
Intersection of Two Circles
Circumcenters on a Circle
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