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### Brickyard

On this page a summary is presented of patterns of diamonds and squares which resemble bricks and the various solid placements which offer solutions on them. In some cases, all four orientations have solutions, and in some none of them do (as well as 1, 2, or 3 of the four).

 1 2 3 4 SUM 0 2 4 YES YES YES YES = 4 0 2 6 -- -- -- YES = 1 0 2 8 -- -- YES -- = 1 0 2 9 YES YES YES YES = 4 0 2 10 YES YES YES YES = 4 0 2 11 YES YES -- YES = 3 0 2 13 YES YES YES -- = 3 0 2 14 YES YES YES YES = 4 0 2 15 YES YES YES YES = 4 0 2 16 YES YES YES YES = 4 0 2 17 YES YES YES YES = 4 0 2 18 YES YES YES YES = 4 0 2 19 YES YES YES YES = 4 0 2 20 YES YES YES YES = 4 0 2 21 YES YES YES YES = 4 0 2 22 YES YES YES YES = 4 0 2 23 -- YES YES YES = 3 0 2 24 YES YES YES YES = 4 0 3 6 -- YES -- YES = 2 0 3 7 -- -- YES -- = 1 0 3 9 YES -- YES -- = 2 0 3 11 YES YES YES YES = 4 0 3 13 YES YES YES -- = 3 0 3 14 YES YES YES YES = 4 0 3 15 YES YES YES YES = 4 0 3 16 YES YES YES YES = 4 0 3 17 YES YES YES YES = 4 0 3 18 YES YES YES YES = 4 0 3 19 YES YES YES YES = 4 0 3 20 YES YES YES YES = 4 0 3 21 YES -- YES YES = 3 0 3 22 YES YES YES YES = 4 0 3 23 -- YES YES YES = 3 0 3 24 YES YES YES YES = 4 0 4 6 -- YES -- YES = 2 0 4 7 YES YES YES YES = 4 0 4 11 YES YES YES YES = 4 0 4 16 YES YES YES YES = 4 0 4 17 YES YES YES YES = 4 0 4 20 YES YES YES YES = 4 0 4 21 YES YES YES YES = 4 0 4 22 YES YES YES YES = 4 0 6 8 -- YES -- YES = 2 0 6 9 -- YES -- YES = 2 0 6 13 -- YES -- YES = 2 0 6 14 -- YES -- YES = 2 0 6 18 -- YES -- YES = 2 0 6 19 -- YES -- YES = 2 0 6 24 -- YES -- YES = 2 0 7 9 YES -- YES YES = 3 0 7 11 -- YES -- YES = 2 0 7 13 YES -- YES -- = 2 0 7 14 YES -- YES YES = 3 0 7 16 YES YES YES YES = 4 0 7 17 YES YES YES YES = 4 0 7 18 YES YES YES YES = 4 0 7 19 YES YES YES YES = 4 0 7 21 YES YES YES YES = 4 0 7 22 YES YES YES YES = 4 0 7 23 YES YES YES YES = 4 0 7 24 YES YES YES YES = 4 0 8 14 YES -- -- -- = 1 0 8 16 YES YES YES YES = 4 0 8 17 YES YES YES YES = 4 0 8 18 YES YES YES YES = 4 0 8 19 YES YES -- YES = 3 0 8 21 YES YES YES YES = 4 0 8 22 YES YES YES YES = 4 0 8 23 -- YES YES YES = 3 0 8 24 YES YES YES YES = 4 0 9 13 YES -- -- -- = 1 0 9 17 YES YES YES YES = 4 0 9 18 YES YES YES YES = 4 0 9 19 YES YES -- YES = 3 0 9 21 YES YES YES YES = 4 0 9 22 YES YES YES YES = 4 0 9 23 YES YES YES YES = 4 0 13 17 -- YES -- YES = 2 0 13 19 -- YES -- -- = 1 0 13 22 YES YES -- YES = 3 0 13 23 YES YES -- YES = 3 0 14 18 -- YES -- -- = 1 0 14 22 YES YES YES YES = 4 0 14 23 YES YES YES YES = 4 0 19 23 -- YES -- YES = 2 1 3 5 -- YES -- YES = 2 1 3 7 -- -- -- -- = 0 1 3 10 YES YES YES YES = 4 1 3 11 YES YES -- YES = 3 1 3 15 YES YES YES YES = 4 1 3 16 YES YES YES YES = 4 1 3 17 YES YES YES YES = 4 1 3 21 YES -- YES YES = 3 1 3 22 YES YES YES YES = 4 1 5 7 -- -- -- YES = 1 1 5 8 -- YES -- YES = 2 1 5 9 -- YES -- YES = 2 1 5 13 -- YES -- YES = 2 1 5 14 -- YES -- YES = 2 1 5 18 -- YES -- YES = 2 1 5 19 -- YES -- YES = 2 1 7 9 -- -- -- YES = 1 1 7 10 -- -- -- YES = 1 1 7 11 -- -- -- YES = 1 1 7 13 -- -- -- -- = 0 1 7 14 -- -- -- YES = 1 1 7 15 -- -- -- YES = 1 1 7 16 -- -- -- YES = 1 1 7 17 -- -- -- YES = 1 1 7 18 -- -- -- YES = 1 1 7 19 -- -- -- YES = 1 1 7 21 -- -- -- YES = 1 1 7 22 -- -- -- YES = 1 1 7 23 -- -- -- YES = 1 1 8 10 YES YES YES YES = 4 1 8 11 YES YES -- YES = 3 1 8 14 YES -- -- -- = 1 1 8 15 YES YES YES YES = 4 1 8 16 YES YES YES YES = 4 1 8 17 YES YES YES YES = 4 1 8 18 YES YES YES YES = 4 1 8 19 YES YES YES YES = 4 1 8 21 YES YES YES YES = 4 1 8 22 YES YES YES YES = 4 1 8 23 -- YES YES YES = 3 1 9 10 YES YES YES YES = 4 1 9 11 YES YES -- YES = 3 1 9 15 YES YES YES -- = 3 1 9 16 YES YES YES YES = 4 1 9 17 YES YES YES YES = 4 1 9 21 YES YES YES YES = 4 1 9 22 YES YES YES YES = 4 1 10 13 YES YES YES YES = 4 1 10 14 YES YES YES YES = 4 1 10 16 YES -- -- -- = 1 1 10 17 YES -- YES YES = 3 1 10 18 YES YES YES YES = 4 1 10 19 YES YES YES YES = 4 1 10 21 YES YES YES YES = 4 1 10 22 YES YES YES YES = 4 1 10 23 -- YES YES YES = 3 1 11 13 YES YES -- YES = 3 1 11 14 YES YES -- YES = 3 1 11 17 YES -- -- -- = 1 1 11 18 YES YES -- YES = 3 1 11 19 YES YES -- YES = 3 1 11 21 YES YES -- -- = 2 1 11 22 YES YES -- -- = 2 1 11 23 -- YES -- YES = 2 1 13 16 YES YES YES YES = 4 1 13 17 -- YES -- YES = 2 1 13 21 YES YES YES YES = 4 1 13 22 YES YES -- YES = 3 1 14 16 YES YES YES YES = 4 1 14 17 -- YES YES YES = 3 1 14 18 -- YES -- -- = 1 1 14 21 YES YES YES YES = 4 1 14 22 YES YES YES YES = 4 1 16 18 YES YES YES YES = 4 1 16 19 YES YES YES YES = 4 1 16 22 -- -- YES -- = 1 1 18 22 -- -- -- YES = 1 2 6 8 -- -- -- -- = 0 2 6 10 -- -- -- -- = 0 2 6 13 -- -- -- -- = 0 2 6 14 -- -- -- YES = 1 2 6 16 -- -- -- YES = 1 2 6 17 -- -- -- YES = 1 2 6 18 -- -- -- YES = 1 2 6 22 -- -- -- YES = 1 2 10 13 YES YES YES -- = 3 2 10 14 YES YES YES YES = 4 2 10 18 YES YES YES YES = 4 2 11 13 YES YES -- -- = 2 2 11 17 YES -- -- -- = 1 2 11 18 YES YES -- YES = 3 2 11 22 YES YES -- -- = 2 2 16 18 YES YES YES YES = 4 6 8 16 YES YES YES YES = 4 6 8 17 YES YES YES YES = 4 6 13 17 -- YES -- YES = 2 7 11 13 -- -- -- -- = 0