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Otho Latin Squares
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The above is boring. Why? Because it is perfectly fractal - and I mean perfectly fractal. Seriously, to the point of being boring. I was angry, frustrated, and disappointed. Then I managed to break it. I am excited again. [code] 1 7 3 2 8 5 0 6 4 3 2 8 6 4 1 0 7 5 3 1 7 4 2 8 5 0 6 2 7 3 4 1 8 6 5 0 8 3 1 7 5 2 6 4 0 7 4 2 1 8 3 5 0 6 5 0 6 3 1 7 4 2 8 4 1 6 7 5 0 2 8 3 6 4 0 8 3 1 7 5 2 1 8 4 5 0 6 7 3 2 0 6 4 1 7 3 2 8 5 8 3 1 0 6 5 4 2 7 7 5 2 6 4 0 8 3 1 5 0 7 8 3 2 1 6 4 2 8 5 0 6 4 1 7 3 0 6 5 3 2 7 8 4 1 4 2 8 5 0 6 3 1 7 6 5 0 2 7 4 3 1 8 unique count=81 [/code] The above is broken, but here is a little piece of it to show how boring it can be. In the grid on the left, the top three lines: [code] 1 7 3 2 8 5 0 6 4 3 1 7 4 2 8 5 0 6 8 3 1 7 5 2 6 4 0 [/code] Boring! Imagine orthogonal latin squares that exhibit that pattern through-out. Uninteresting parlour trick. But I can break it, as shown in the full example, and I am excited again. I'm off again. Lots of work to do. See ya'll in a few months or so. And thanks for listening.
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