A square has a quarter in each corner. You are blindfolded and must
get all quarters to be heads up or all to be tails up. You will be told
when you have done this. You may flip however many you want, then ask if
you are done (this constitutes a turn). The square is then rotated/spun
an undisclosed number of times. You then get another turn and so on…
Is there a strategy that is guaranteed to work in a finite number of
moves, and if so, what is that smallest number of moves you need to be
100% you’ll be able to have all heads up or all tails up?
from Steve Millers math riddles.com
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