figure a-i and figure 1-9

What two figures (one in range a-i and the other in range 1-9) is the odd ones that should be switched to restore both patterns, and why?

created by myself


I believe the answer is to change the middle middle square of figure a-i and left middle square of figure 1-9. I circled these boxes with a black circle in the picture I attached. I think these boxes should be changed because the middle circles in each figure should correspond. I circled the middle middle shapes in each corresponding box. As you can see, two of the boxes do not correspond(the ones circled in red and pink) one has a x in the middle and the other has nothing. enter image description here

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    $\begingroup$ You have found the correct figures! I am not sure about your reasoning - why the inner-most figure is more important than everything else?, but since your answer is correct I cannot disagree :) $\endgroup$ – Plarsen Feb 28 '18 at 20:18
  • $\begingroup$ @Plarsen I had the same reasoning. This is an inherent trouble with odd-one-out problems--there are many reasons that can be used to decide whether an item doesn't belong (and they don't always agree). $\endgroup$ – Vitruvie Mar 1 '18 at 0:51
  • $\begingroup$ @Vitruvius True, which is the main reason why most, including this, Odd-one-out cases don't rely on the debate about what property beats another, but instead rely on the amount of properties: A size and color pattern beats a form pattern; a form, movement and color pattern beats a size and position pattern. The level of difficulty is basically how close the "next best" pattern is to the "best" pattern. It could be 5 size, 4 form and 3 rotation patterns against 5 size, 6 form and 2 rotation patterns, where the former "loses". It hardly ever exists only 1 possible pattern. $\endgroup$ – Plarsen Mar 1 '18 at 16:16
  • $\begingroup$ @Vitruvius The extension to the above can be a case of: color+simple movement pattern vs. color+complex rotation pattern where it will be more difficult to decide what beats the other, and the worst case scenario would be something like: color+simple movement vs. color+complex movement+complex rotation pattern. I guess no one can judge if 1 simple pattern beats two complex patterns, so such a case is in my opinion a bad design,.. or perhaps both alternatives should be considered a valid solution? $\endgroup$ – Plarsen Mar 1 '18 at 16:49

If you

look at the difference between the corresponding squares (assuming you do the swap given in the other answer by QuantumTwinkie,

you get

enter image description here

which in my opinion is a fairly nicely-behaving pattern.

  • $\begingroup$ Seems to be a correct observation, but a minor detail is missing: A diagonal line inside the circle on figure g/7. $\endgroup$ – Plarsen Feb 28 '18 at 21:04
  • $\begingroup$ I made the assumption that the X is actually an X on top of a \ :-) $\endgroup$ – Carl Löndahl Feb 28 '18 at 21:06
  • $\begingroup$ Ah! I guess it depends on how you are viewing it :) $\endgroup$ – Plarsen Feb 28 '18 at 21:08

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