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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: 86,636

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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