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-Transformations can be either simple rotations or a rotation composed
-with a mirroring.
-
-Simple rotations are denoted by two letters corresponding to the faces
-to be moved to the U and F positions, respectively. For example FD is
-the rotation that brings the F face on top and the D face on front.
-
-A composed rotation + mirror is obtained by applying the corresponding
-rotation to the solved cube mirrored along the M plane.
-
-For example, to apply the transformation RBm (mirrored RB) to a cube C:
-        1a. Apply a mirror along the M plane to the solved cube
-        1b. Rotate the mirrored cube with z' y2
-        3.  Apply the cube C to the transformed solved cube
-        4.  Apply the transformations of step 1a and 1b in reverse
-
-The orientation of pieces after a rotation ignores the new position
-of centers.  A rotated cube can technically be inconsistent, because
-the parity of the edge permutation has to be adjusted considering the
-parity of the centers, which we ignore.
-
-The utility script mirror.sh transforms a solved, rotated cube to its
-mirrored and rotated version.