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

benice
Member
Registered: 2010-06-10
Posts: 112
Website

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)

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,150

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 agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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