If I have a finite set of points S, is there a way to prove that the minimum area rectangle containing all points in S will be collinear with one of the edges of the convex hull of S? As far as I can tell, this is assumed in every convex hull proof I can find, but I can't seem to find a proof of this assumption itself.
2026-03-25 03:24:07.1774409047
Proof that the minimum area rectangle is collinear with an edge of the convex hull?
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