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Jan 18, 2016 at 4:03 vote accept Manfred Weis
Jan 16, 2016 at 15:57 history edited Manfred Weis CC BY-SA 3.0
added a slight modification of the problem a follow up question
Jan 15, 2016 at 19:05 answer added Fedor Petrov timeline score: 1
Dec 16, 2015 at 16:52 answer added Manfred Weis timeline score: 0
Oct 10, 2015 at 3:08 comment added Manfred Weis $k$ denotes the number of vertices defining a hyper facet of the convex polytope or the polytope itself. The question amounts to whether the above defined distance sum decreases if additional corners are brought into contact with the hyperplane, i.e. if the contact Dimension is increased.
Oct 8, 2015 at 21:15 comment added Joseph O'Rourke You intend $k$ to be fixed? In what range? $0 \le k < n-d$?
Oct 8, 2015 at 21:02 history edited Stefan Kohl CC BY-SA 3.0
Language editing; added top-level tag.
Jul 12, 2015 at 15:32 history asked Manfred Weis CC BY-SA 3.0