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Fairy Cirlces

🔗Mark Gould <mark.gould@argonet.co.uk>

4/14/2002 2:24:27 AM

Exactly !

> From: tuning-math@yahoogroups.com
> Reply-To: tuning-math@yahoogroups.com
> Date: 14 Apr 2002 04:07:08 -0000
> To: tuning-math@yahoogroups.com
> Subject: [tuning-math] Digest Number 347
>
> Message: 9
> Date: Sat, 13 Apr 2002 15:13:36 -0700
> From: Carl Lumma <carl@lumma.org>
> Subject: !
>
>> Hmmm. Have you ever seen Farey circles? If you take the rational numbers
>> between 1 and 2, and for each p/q make a circle of radius 1/2q^2 and center
>> [p/q, 1/2q^2], you get a fractal collection of circles which never
>> intersect, but where the circles for adjacent Farey fractions always touch.
>> Maybe that could inspire something.
>
> !
>
> -Carl

🔗genewardsmith <genewardsmith@juno.com>

4/14/2002 3:02:02 AM

I see Math World has an entry on it:

http://mathworld.wolfram.com/FordCircle.html

🔗Carl Lumma <carl@lumma.org>

4/15/2002 12:22:40 AM

>http://mathworld.wolfram.com/FordCircle.html

Oh, Ford Circles. I've seen these.

-Carl