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#1 2013-11-28 03:58:50

benice
Member
Registered: 2010-06-10
Posts: 110

Infinite Families of Circles

(A) Concentric Circles

an_infinite_family_of_concentric_circles_zps45fbec37.png
Regions enclosed by an infinite family of concentric circles.


five_infinite_families_of_concentric_circles_zpsaddc8f34.png
Regions enclosed by five infinite families of concentric circles. (Animation Pictures)




(B) Tangent Circles

an_infinite_family_of_tangent_circles_zpsf9e2e0e2.png
Regions enclosed by an infinite family of tangent circles.


five_infinite_families_of_tangent_circles_zps460c520b.png
Regions enclosed by five infinite families of tangent circles. (Animation Pictures)


My Gallery of Math Art: benice equation

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#2 2013-11-28 04:15:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,752

Re: Infinite Families of Circles

Hi benice;

Amazing detail and beauty, very good!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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