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Question: Clever cutter 2

Question:Clever cutter 2

Markiyan Hirnyk 7759 Maple
November 24 2013
1

Let a convex polygon, for example Q:=polygon([[0,2],[1,4],[4,4],[5,1],[3,0]]), be given.
How to find the rectangle of the biggest area which is contained in Q?
A procedure is required. This problem seems to be more complex than the previous one.
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