No-three-in-line problem has been listed as one of the Mathematics good articles under the good article criteria. If you can improve it further, please do so. If it no longer meets these criteria, you can reassess it. | ||||||||||
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A
fact from this article appeared on Wikipedia's
Main Page in the "
Did you know?" column on
December 15, 2021. The text of the entry was: Did you know ... that one can place 16 pawns on a chessboard such that
no three pawns lie on the same line? |
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"In 1951, Paul Erdős proved the answer." Well, what is the answer? This is very irritating. N Shar 01:23, 12 January 2006 (UTC)
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Reviewing |
Reviewer: Eviolite ( talk · contribs) 01:44, 25 November 2021 (UTC)
I'll take a look at this. eviolite (talk) 01:44, 25 November 2021 (UTC)
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This was a nice read. I have some notes here (I didn't think any of these were too big of a deal, but they seemed a bit awkward):
in which two of the pawns attack each other in the middle four squares of the chessboard—the original source states that they must be on Q 4 (d4) and K 5 (e5), which I think is easier to understand (just saying two of them are fixed), and avoids the issue of having a reflection as a solution. Also, I am not sure if linking to each number of solutions is necessary as this problem is not relevant to the numbers themselves. A {{ OEIS}} link with the sequence may also be helpful (instead of just having it in the ref).
but less is known about the version of the problem where all lines are considered—is this necessary or else can it be reworded? I imagine something like this is hard to get a specific reference for, and it seems implied by saying that the specific case has progress, so not a big deal but something to note.
Beyond these things that might do well to be changed, the article meets all other criteria, so I am putting it on hold for now. eviolite (talk) 03:02, 25 November 2021 (UTC)
The result was: promoted by
Theleekycauldron (
talk) 11:12, 8 December 2021 (UTC)
Improved to Good Article status by David Eppstein ( talk). Self-nominated at 19:34, 27 November 2021 (UTC).
The example refers to a grid with 10 lines each way as a 10x10 grid. I would guess most people define a Sudoku "box" or a tic-tac-toe game in an outline as a 3x3 grid, yet they are composed of 4 lines each way. Is it standard to define a grid by the number of lines each way or by the number of pigeonholes created? Also, the pawns-on-a-chessboard problem obviously counts pigeonholes rather than intersections. Just wondering . . . Charles Fee ( talk) 04:38, 31 January 2022 (UTC)
This problem of maximizing the size of a set such that no members have sone common property for some small sounds connected to Ramsey theory, should there be a link to Ramsey theory in a "See also" page? C7XWiki ( talk) 01:46, 12 August 2022 (UTC)