most recent 30 from http://mathoverflow.net 2013-05-22T06:12:21Z http://mathoverflow.net/feeds/user/13332 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/57024/the-problem-is-to-position-these-dots-in-certain-sectors-of-a-circle-starting-in nomikos 2011-03-01T19:25:36Z 2011-03-01T19:25:36Z

<p>I proposed this problem in <a href="http://stackoverflow.com/questions/5158271/position-dots-in-certain-sectors-of-a-circle-starting-in-the-center">http://stackoverflow.com/questions/5158271/position-dots-in-certain-sectors-of-a-circle-starting-in-the-center</a> (PLEASE VISIT TO SEE A DIAGRAM), but there say that is here where can be answered better (>> Have you even seen that site? It's for crazy open maths research questions&lt;&lt;). Let's see it...</p> <p>I have a lot of dots. The problem is to position these dots in certain sectors of a circle starting in the center.</p> <pre> $dot[1] = secto12; $dot[2] = secto6; $dot[3] = secto8; $dot[4] = secto2; $dot[5] = secto8; $dot[6] = secto3; etc... </pre> <p>I need to code this in some PHP or javascript. But that is no problem if you can provide some function to determine these dot's positions.</p> <p>The main proposal of this procedure is to fill (certain) sectors using the available space the best possible (that's why I start in the center). The final result can be like the attached image. </p> <p>One first approach is to draw dots along of concentric arcs (starting in the center). But delimited between the two radii and the arc (of each circular sector).</p> <p>Any idea is welcome, THX.</p>