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I've done it. Okay, mostly done it. Not quite perfect. After about a year of playing with orthogonal latin squares, I created 8x8 orthos using pure algorithm without back-tracking. I repeat: No back-tracking. [code] 4 3 1 7 5 2 0 6 2 0 4 6 7 5 3 1 2 5 7 1 3 4 6 0 7 4 0 2 1 3 5 6 0 6 5 2 1 7 4 3 1 3 6 4 5 7 0 2 6 0 3 4 7 1 2 5 4 7 3 1 2 0 6 5 7 1 4 3 6 0 5 2 3 1 5 7 6 4 2 0 1 7 2 5 0 6 3 4 6 5 1 3 0 2 4 7 5 2 6 0 4 3 7 1 0 2 7 5 4 6 1 3 3 4 0 6 2 5 1 7 5 6 2 0 3 1 7 4 [/code] Still one little issue with the logic in my solver. But I understand it and should be able to fix it. Once I do and get the hang of it, I should be able to take orthos and multiply them bigger x2, x3, and x4. This is a pretty big step forward. Still a lot of work to do, but I'm that much closer to my end-game. Woohoo!
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