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

Algebra.Com
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(52782)   (Show Source): You can put this solution on YOUR website!
.

This post makes very few sense, if any.

The answer is that there is NO such number N.



RELATED QUESTIONS

N lattice points in coordinate 8-space are chosen at random. The line segments joining... (answered by ikleyn)
Ten points in the plane are given, with no three collinear. Four distinct segments... (answered by CPhill)
100 points are chosen at random in the plane. For how many integers n with 0 ≤ n ≤ 50 (answered by ikleyn)
100 points are chosen at random in the plane. For how many integers n with 0 ≤ n ≤ 50 (answered by ikleyn)
100 points are chosen at random in the plane. For how many integers n with 0 ≤ n ≤ 50 (answered by greenestamps)
Suppose 5 points with integer coordinates are chosen at random from the xy-coordinate... (answered by bmauger)
Find the lengths of the line segments joining these pairs of points. Assume that a>0.... (answered by algebriac)
2 points are chosen on the parabola defined by y=x^2, one with a positive x-coordinate... (answered by stanbon,josmiceli)
Two points are chosen at random on a line segment whose length is a > 0. Find the... (answered by robertb,Edwin McCravy)