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Well there are first the two obvious ones ( up and down,left and right. Orthogonally one way and the other.) But then Imagine that you took the two crossing lines in the middle, where they meet and just twisted them one degrees to the left or right. then kept doing that over and over again. if you look at it this way there is an infinite number of solutions.

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Q: What are all ways to divide a square into fourths?
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