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Bayeslisk comments on Innate Mathematical Ability - LessWrong
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Oh, good. I got this too. With XOR. Contrary to other repliers, it seems to me like XOR is a simpler primitive than "the presence/absence of shapes forms a rectangle". It's more easily generalizable and doesn't rely on the existence of other patterns. As a cute curiosity, by the way, the XOR-ing works both vertically and horizontally.
I did it with horizontal XOR, and I didn't notice the vertical XOR or the rectangles (which, if you think about it, are a consequence of the two XORs) until I read the comments.
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.