(a) Find the pattern inventory for the 2-colorings of the edges of a square that is free...

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(a) Find the pattern inventory for the 2-colorings of the edges of a square that is free to move in
(i) Two dimensions;
(ii) Three dimensions. (Let the colors be red and white.)
(b) Answer part (a) for 3-colorings, where the colors are red, white, and blue.
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