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AlgebraA cube is called colored if each of its faces iscolored by one of three given colors. Twocolorings are considered to be the same if
AlgebraA cube is called colored if each of its faces iscolored by one of three given colors. Twocolorings are considered to be the same if thereis a rotation of the cube carrying one coloring tothe other. Prove that there exist exactly 57different colorings of the cube.
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