perplexus.info :: General : Avoiding lattice midpoints

Avoiding lattice midpoints (Posted on 2017-08-27)

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
Puzzle Thoughts	K Sengupta	2022-07-16 03:19:18
re: spoiler	Steve Herman	2017-08-27 19:29:52
spoiler	xdog	2017-08-27 18:54:18
Parity consideration s ..............spoilert	Ady TZIDON	2017-08-27 10:45:18

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info