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AlgebraA cube is called colored if each of its faces iscolored by one of three...

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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 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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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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