Processing of the square # 19 completed

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Message 1723 - Posted: 21 Nov 2022, 20:27:06 UTC

Dear participants, processing of the square # 19 is fully completed! The square:

0 1 2 3 4 5 6 7 8 9 A B
1 2 0 4 5 3 8 6 7 B 9 A
2 0 1 5 3 4 7 8 6 A B 9
8 7 6 9 B A 1 0 2 5 4 3
7 6 8 B A 9 2 1 0 3 5 4
B A 9 8 7 6 5 4 3 2 1 0
5 3 4 1 2 0 B 9 A 7 8 6
9 B A 6 8 7 4 3 5 1 0 2
A 9 B 7 6 8 3 5 4 0 2 1
4 5 3 0 1 2 9 A B 8 6 7
3 4 5 2 0 1 A B 9 6 7 8
6 8 7 A 9 B 0 2 1 4 3 5

has 1228403532 orthogonal mates which would puts it on the 4th place of the rating, but another square - #17 already placed on it with equivalent number of orthogonal mates! This is very unexpected because each of the squares is a separate canonical form and cannot be converted into another square by M-transformations. But one square can be transformed into another square by rows and columns permutations. Usually this permutations break the diagonality of squares, but not in this case! Very interesting finding!

Now whole spectra of ODLS-12 globally looks like this (one point is not a single number):


Thank you for participation and donation of CPU Time!
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Message boards : News : Processing of the square # 19 completed

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