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A few days ago I was playing around with the idea of creating a regular latin square using strictly bitwise ops. Six bit ops all together. That's it. This is what my bit muncher it spit out: [code] 0 1 2 3 4 5 6 7 1 0 3 2 5 4 7 6 2 3 0 1 6 7 4 5 3 2 1 0 7 6 5 4 4 5 6 7 0 1 2 3 5 4 7 6 1 0 3 2 6 7 4 5 2 3 0 1 7 6 5 4 3 2 1 0 [/code] I was happy that I nailed it. Then I got to looking at the base pattern a lot closer. It's fractal. Perfectly fractal. And there are an awful lot of other interesting things in there. Then I starting playing around with it. You know, shuffling it up and seeing if I can manipulate it with intent. As it turns out, it is rather easy to generate an orthogonal pair. One of the cool things about the orthos is that they become look-up tables for more orthos. Come on, now that's seriously cool. Using that pattern, I can create a sudoku field that is as perfect or imperfect as I want. Just for giggles, here is one of the orthos to the above base pattern: [code] 6 4 2 0 5 7 1 3 7 5 3 1 4 6 0 2 4 6 0 2 7 5 3 1 5 7 1 3 6 4 2 0 2 0 6 4 1 3 5 7 3 1 7 5 0 2 4 6 0 2 4 6 3 1 7 5 1 3 5 7 2 0 6 4 [/code] And that ortho contains the sequences for even more orthos for the same base pattern. Damn, I love this shit.
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