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JRMayne comments on Innate Mathematical Ability - Less Wrong
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That's interesting! I got the same answer but I visualized it differently. (Imagine, for each possible subpattern, i.e. "plus shape" or "dots", considering which items it appears in. In each case the answer is four, forming a rectangle. Two of the rectangles should extend into the ninth item, the one we're looking for.)
I did it even more simply than that: Count things. Most have four iterations. Some have three iterations. The ones with three, make four. Less than 10 seconds for me. Same answer as the rest of everyone.