Enigma 133: Are you positive?
8 October 2013
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From New Scientist #1277, 29th October 1981 [link]
On a 3-by-3 array like the one shown, I have coloured some of the little squares black and left the rest white. The four 2-by-2 corners of my pattern look like:
These are not necessarily the right way up and some, unfortunately, may be the negatives of what they should be. Sorry! But if I told you the colour of the middle square in the top row of my pattern and I told you the number of black squares in my pattern, then you’d be able to work out my pattern (the right way up too!).
Find my pattern, or the negative of it, whichever takes less shading.
Note: As stated I don’t think this problem has any solutions, but it is possible to add reasonable extra conditions to the problem in order to give a unique solution.