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  1. I'm looking for all stuff relative to Rectangles Set (specialty rectangles with edges parallel to axes of orthonormal 2d space: lets note it $RS$. I found this interesting article A new tractable subclass of the rectangle algebra. Does anyone knows other works?

  2. Given a set $S$ of rectangles in $RS$ , and a point $P$ in the same space, how can I find the "nearest" rectangle, with given height and width , to the point $P$ such that it do not "overlap" any element of $S$.

    • nearest means: in the sense of the distance between the "center" of the rectangle and the point P
    • center of rectangle means: the point with coordinate the center of each interval that defines the rectangle.
    • overlap: means that the set of points defined by the two rectangles intersect.

regards

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    Now posted to MO, http://mathoverflow.net/questions/89083/mathematics-of-rectangles, without notifying either site of the post to the other.2012-02-21
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    what the problem about that?2012-02-21
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    You are asking people for help. The least you can do is to let them know what you know about the problem, including where else you have asked it, so they don't waste their time duplicating what others are doing. Heck, it also helps you, as people at one site may see something at the other that gives them an idea they wouldn't have had otherwise. But, really, it's common courtesy.2012-02-21
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    ok good point: optimizing getting a response2012-02-21

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