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Avoiding lattice midpoints (Posted on 2017-08-27) Difficulty: 2 of 5
If two lattice points in the plane are chosen and joined by a line segment, the midpoint of this segment may or may not also be a lattice point.

Suppose you try selecting a set of points so that for every pair, the midpoint is not a lattice point.

Is there a limit to how many points you can pick?

No Solution Yet Submitted by Jer    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: spoilerSteve Herman2017-08-27 19:29:52
spoilerxdog2017-08-27 18:54:18
SolutionParity consideration s ..............spoilertAdy TZIDON2017-08-27 10:45:18
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