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**Grillakis** Mush, hopefully 3rd times a charm:

A x B x C = {(a, x, 0), (a, x, 1), (a, y, 0), (a, y, 1), (b, x, 0), (b, x, 1), (b, y, 0),

(b, y, 1), (c, x, 0), (c, x, 1), (c, y, 0), (c, y, 1)}

C x B x A = {(0, x, a), (0, x, b), (0, x, c), (1, x, a), (1, x, b), (1, x, c), (0, y, a),

(0, y, b), (0, y, c), (1, y, a), (1, y, b), (1, y, c)}

C x A x B = {(0, a, x), (0, b, x), (0, c, x), (1, a, x), (1, b, x), (1, c, x), (0, a, y),

(0, b, y), (0, c, y), (1, a, y), (1, b, y), (1, c, y)}

B x B x B = {(x, x, x), (x, x, y), (x, y, x), (x, y, y), (y, y, y), (y, y, x), (y, x, y),

(y, y, x)}