The problem is to position these dots in certain sectors of a circle starting in the center.

The problem is to position these dots in certain sectors of a circle starting in the center. [closed]

I proposed this problem in http://stackoverflow.com/questions/5158271/position-dots-in-certain-sectors-of-a-circle-starting-in-the-center (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<<). Let's see it...

I have a lot of dots. The problem is to position these dots in certain sectors of a circle starting in the center.

$dot[1] = secto12;
$dot[2] = secto6;
$dot[3] = secto8;
$dot[4] = secto2;
$dot[5] = secto8;
$dot[6] = secto3;
etc...

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.

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.

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).

Any idea is welcome, THX.

flag	asked Mar 1 2011 at 19:25 nomikos 1

I can't tell what you want out of these dots. MO questions generally need to be much more precise than this as well as research-oriented. – Qiaochu Yuan Mar 1 2011 at 20:38

closed as off topic by Andres Caicedo, Yemon Choi, Gjergji Zaimi, J.C. Ottem, Qiaochu Yuan Mar 1 2011 at 20:37

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