Take the 2-minute tour ×   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.
share|improve this question Now posted to MO,
mathoverflow.net/questions/89083/mathematics-of-rectangles,
without notifying either site of the post to the other. –  Gerry
Myerson Feb 21 '12 at 5:06 what the