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Consider the 12 lines depicted below which all run through the centers of the 9 color squares of a single face of Rubik's Cube.

1. Can you find a scramble such that on each line all squares have different colors? And this of course simultaneously on all six faces.
2. Find a scramble which needs only 14 moves. If you assume six colors on each face this scramble is unique up to rotation and reflection of the cube and there is no shorter scramble.

Hint: There are only three possible ways how colors can be distributed on one face (up to rotation and reflection of the face and up to permutation of the colors). You can find them with pencil and paper.

Consider the 12 lines depicted below which all run through the centers of the 9 color squares of a single face of Rubik's Cube.

1. Can you find a scramble such that on each line all squares have different colors? And this of course simultaneously on all six faces.
2. Find a scramble which needs only 14 moves. If you assume six colors on each face this scramble is unique up to rotation and reflection of the cube and there is no shorter scramble.

Hint 1: There are only three possible ways how colors can be distributed on one face (up to rotation and reflection of the face and up to permutation of the colors). You can find them with pencil and paper.

Hint 2: The second question is impossible to answer without a computer program. But with the pattern editor of the freely downloadable Cube Explorer program an answer to the question is not difficult to obtain.

Consider the 12 lines depicted below which all run through the centers of the 9 color squares of a single face of Rubik's Cube.

1. Can you find a scramble such that on each line all squares have different colors? And this of course simultaneously on all six faces.
2. Find a scramble which needs only 14 moves.

Hint: There are only three possible ways how colors can be distributed on one face (up to rotation and reflection of the face and up to permutation of the colors). You can find them with pencil and paper.

Consider the 12 lines depicted below which all run through the centers of the 9 color squares of a single face of Rubik's Cube.

1. Can you find a scramble such that on each line all squares have different colors? And this of course simultaneously on all six faces.
2. Find a scramble which needs only 14 moves. If you assume six colors on each face this scramble is unique up to rotation and reflection of the cube and there is no shorter scramble.

Hint: There are only three possible ways how colors can be distributed on one face (up to rotation and reflection of the face and up to permutation of the colors). You can find them with pencil and paper.