Comment #4 on issue 2117 by smichr: Distance between polygons
http://code.google.com/p/sympy/issues/detail?id=2117

There is nothing prebuilt that I know of but a rectangle is a polygon and vertices of polygons can be enumerated and segments have a length attribute so you can find out the length between a rectangle's vertices and any given point:

    >>> r = Polygon(Point(0,0), Point(10,0), Point(10,5), Point(0,5))
    >>> for v in r.vertices:
    ...  print Segment(v, Point(1,1)).length
    ...
    2**(1/2)
    82**(1/2)
    97**(1/2)
    17**(1/2)

Just watch out for trying to define a segment where the two points are the same as that will raise an error, i.e. Segment(v, v) raises an error.

BTW, a good place to raise these sorts of questions about functionality is on the discussion list: http://groups.google.com/group/sympy

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