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Douglas_Knight comments on Innate Mathematical Ability - LessWrong
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The rectangle pattern is more complicated than the horizontal XOR pattern. But the rectangle pattern is the full pattern and the horizontal XOR isn't. The full pattern is the combination of both horizontal and vertical XOR patterns. You can get the answer without seeing the full pattern, just seeing the horizontal XOR pattern. The full pattern, either in rectangle form or both XORs doesn't help you get the answer, but it is useful check.