SOLUTION: N lattice points in coordinate 8-space are chosen at random. The line segments joining all pairs of these N points are drawn. What is the smallest value of N that guarantees that t
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Question 1162884: N lattice points in coordinate 8-space are chosen at random. The line segments joining all pairs of these N points are drawn. What is the smallest value of N that guarantees that the midpoint of at least one of the resulting line segments is itself a lattice point? Answer by ikleyn(52776) (Show Source):