Posts by Rudy Toody

1) Message boards : Science : Question about 10 X 10 squares (Message 1132)
Posted 24 Jul 2019 by Profile Rudy Toody
Post:
I found this paper: https://www.whitman.edu/Documents/Academics/Mathematics/2016/Horner.pdf pp 21-22, that may help.
2) Message boards : Science : Question about 10 X 10 squares (Message 1128)
Posted 21 Jul 2019 by Profile Rudy Toody
Post:
You show it in message 1118, second panel.
It looks to be asymmetric, which might be the problem with 2n X 2n squares when n is odd.
Maybe you could move to 11 X 11, if the search space is reasonable. And do 10 X 10 as Beta.
3) Message boards : Science : Question about 10 X 10 squares (Message 1123)
Posted 20 Jul 2019 by Profile Rudy Toody
Post:
2n X 2n Latin squares are problematic when n is odd, i.e., 6 X 6 does not exist, 10 X 10 was big news when it was found to contain a 3 X 3 --- it made the cover of Scientific American.
Unfortunately, I don't have the knowledge to contribute more. Good luck.
4) Message boards : Science : Question about 10 X 10 squares (Message 1116)
Posted 18 Jul 2019 by Profile Rudy Toody
Post:
Since every 10 X 10 Latin square has an embedded 3 X 3 Latin square, could we seed three rows, three columns, and their intersections as the 3 X 3 Latin square?
Could your algorithm be modified to start with this additional information?
5) Message boards : News : New run for RakeSearch R10 (Message 1113)
Posted 18 Jul 2019 by Profile Rudy Toody
Post:
Since every 10 X 10 Latin square has an embedded 3 X 3 Latin square, could we seed three rows, three columns, and their intersections as the 3 X 3 Latin square?
Could your algorithm be modified to start with this additional information?
6) Message boards : Science : Graphs (Message 830)
Posted 30 Mar 2019 by Profile Rudy Toody
Post:
I have found this result: https://rake.boincfast.ru/rakesearch/files/odls/R9_013835105_result.txt and am curious how it would graph. Is a result with 7 pairs in 3 squares more interesting than 7 pairs in 7 squares?



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