Quote:
Originally Posted by aliceinwonderland  If we give numbers for each side like 1-bottom 6-top 2-front 5-back 3-left 4-right for the above figure, what would be the next position after 180-degree edge rotation? |
Try to visualise what would happen if you hold the cube at the ends of the red line and flip it upside down by twisting it through 180º.
As a permutation, the effect on the faces is (16)(23)(45). In other words, top and bottom get flipped, as do left and front, and back and right.