perplexus.info :: Games : Line up

Line up (Posted on 2005-05-06)

Imagine a 3 dimensional grid with N x N x N points.
Place as many points as possible on this grid, such that there are no 3 points in a line (for N = 2, this is of course 8).
How much is it for N = 3, 4 or 5?

Submitted by Hugo

Rating: 3.5000 (2 votes)

Solution: (Hide)

For 3 points: 16
For 4 points: 24
For 5 points: 38

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Answer	K Sengupta	2022-08-13 12:34:27
Puzzle Answer	K Sengupta	2022-08-13 12:31:35
Answer!	KC	2006-01-21 01:36:12
another way to look at it	ronwilliams	2005-11-29 11:39:07
solution - i think!	fiona	2005-07-11 14:14:47
hmmm	j441167	2005-06-26 00:05:14
solution	Justin	2005-05-15 02:59:03
re(3): N=4? probably not	Justin	2005-05-14 01:53:55
re(2): N=4? probably not	Tristan	2005-05-14 01:47:54
N=3;N=4;N=5	Justin	2005-05-13 23:56:32
re: N=4? probably not	Justin	2005-05-13 23:33:36
re: N=3? - Max reached	Tristan	2005-05-08 02:20:43
re(2): N=3?	Charlie	2005-05-07 23:19:52
re: N=3?	suman	2005-05-07 21:01:55
N=4? probably not	Jer	2005-05-06 18:53:53
N=3?	Jer	2005-05-06 18:43:27

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