Do you even know that a pentagonal maximum exists --- the supremum might occur at some maximal quadrilateral! WFL On 8/1/19, Keith F. Lynch <kfl@keithlynch.net> wrote:

I have a related question, in support of testing my program that finds the average perimeter and area of random intersections of cubes and planes. I know what the maximum perimeter and maximum area are when the intersection is a triangle, a quadrilateral, or a hexagon. (Or at least I think I do.) But I don't know what it is when the intersection is a pentagon. Does anyone know? Thanks.

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