Talk:Dominoes

ignoring value symmetry

Can you explain what "and finally considering values but ignoring value symmetry, i.e. transposing 5 and 4" means? --Pete Lomax (talk) 13:01, 17 November 2021 (UTC)

Ah, did you mean placing each (non-double) both ways, eg 5-4 or 4-5? If so, that took me nearly five hours to twig... --Pete Lomax (talk) 17:53, 17 November 2021 (UTC)

Considering the example of your own construction I meant that

1 4 2 2 0 1+5 0
+ + + + +     +
6 1 2 3 4 6+4 3

2 6 0 2 3+5 5 6
+ + + +     + +
6 3 5 0 5 1 6 0
       + +
4 2 1 0 4 0 6+6
+ + + +
4 4 2 0 5 3 1 3
        + + + +
1+1 5+2 5 3 3 4

where I have replaced all 1's by 6 and all 6's by 1 in the input is essentially the same with the same set of solutions.

Changing the input by swapping 1 and 6 in the first column:

14220650
66234143
21023551
13505610
42604011
44205363
66525334

will result in a different solution.--Nigel Galloway (talk) 14:55, 18 November 2021 (UTC)

Also, there is apparently no "chaining" going on here, no need to match any adjacent tile, that could be made clearer. --Pete Lomax (talk) 15:13, 17 November 2021 (UTC)