Missed this comment chain before making my comment. My complaint is the most natural extrapolation here (as I assess it, unless I’m missing something) would go out of bounds. So either you have ambiguity about how to deal with the out of bounds, or you have a (in my view) less natural extrapolation.
E.g. “shift towards/away from the center” is less natural than “shift to the right/left”, what would you do if it were already in the center for example?
I agree that the most natural symmetry goes out of bounds. But there are other patterns you can use. First, you can solve the bottom half of the unknown rectangle by top-down symmetry. And then, it seems like the center of top portion, when rotated right matches the center of the right portion (does not hold near the diagonal and the center, but holds near the top), and so you can use this to fill in the missing tiles. Moreover, this observation that the top center portion can be rotated to get left and right holds for the other examples. So I think this solves the problem in the spirit of the exercise (find the simplest rules that predicts what the pattern on the example and is applicable to the prediction inputs).
Huh, I was missing something then, yes. And retrospectively should have thought of it -
it’s literally just filling in the blanks for the light blue readout rectangle (which in a human-centric point of view, is arguably simpler to state than my more robotic perspective even if algorithmically more complex) and from that perspective the important thing is not some specific algorithm for grabbing the squares but just finding the pattern. I kind of feel like I failed a humanness test by not seeing that.
Missed this comment chain before making my comment. My complaint is the most natural extrapolation here (as I assess it, unless I’m missing something) would go out of bounds. So either you have ambiguity about how to deal with the out of bounds, or you have a (in my view) less natural extrapolation.
E.g. “shift towards/away from the center” is less natural than “shift to the right/left”, what would you do if it were already in the center for example?
I agree that the most natural symmetry goes out of bounds. But there are other patterns you can use. First, you can solve the bottom half of the unknown rectangle by top-down symmetry. And then, it seems like the center of top portion, when rotated right matches the center of the right portion (does not hold near the diagonal and the center, but holds near the top), and so you can use this to fill in the missing tiles. Moreover, this observation that the top center portion can be rotated to get left and right holds for the other examples. So I think this solves the problem in the spirit of the exercise (find the simplest rules that predicts what the pattern on the example and is applicable to the prediction inputs).
Huh, I was missing something then, yes. And retrospectively should have thought of it -
it’s literally just filling in the blanks for the light blue readout rectangle (which in a human-centric point of view, is arguably simpler to state than my more robotic perspective even if algorithmically more complex) and from that perspective the important thing is not some specific algorithm for grabbing the squares but just finding the pattern. I kind of feel like I failed a humanness test by not seeing that.