most recent 30 from http://mathoverflow.net 2013-05-20T17:12:13Z http://mathoverflow.net/feeds/question/111009 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/111009/disks-packing-variant marc 2012-10-29T15:41:00Z 2012-10-29T22:13:15Z

<p>Usually disk packing problems require that no two disks of the packing intersect. </p> <p>Does anybody know if the problem has been studied when disks may intersect but they are not allowed to contain the center of any other disk?</p>

http://mathoverflow.net/questions/111009/disks-packing-variant/111013#111013 CKA 2012-10-29T16:39:47Z 2012-10-29T16:39:47Z

<p>Yes. Here is an example: <a href="http://arxiv.org/pdf/math/9901148.pdf" rel="nofollow">Rigidity of infinite disk patterns</a> by Zheng-Xu He.</p>

http://mathoverflow.net/questions/111009/disks-packing-variant/111034#111034 Alexandre Eremenko 2012-10-29T22:13:15Z 2012-10-29T22:13:15Z

<p>There is a subject called "circle packing". There are many exciting results, including the one mentioned in the previous answer. The subject originates from a Thurston conference talk. The discs bounded by circles are sometimes allowed to intersect. See, for example the book of Ken Stephenson, Introduction to circle packing, MR2131318.</p>