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Question: Clever cutter

Question:Clever cutter

Markiyan Hirnyk 7809
November 23 2013
1

Let the polygon P:=polygon([[0,2],[1,4],[2,3.5],[4,4],[5,1],[4,0.75],[3,0]])

be given.
How to find the rectangle of the minimal area which contains P? Of course, with Maple. Is it a rectangle having a side parallel to the longest diagonal of P?
The same problem in the general case: a procedure is required.
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