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Rubix Cube

This monster is composed of 120 hyperfaces each of which is a dodecahedron looking exactly like a Magaminx. The 4D version has yet to be solved. The wreath product accounts for the way that the positions and orientations of edges and corners are related as the cube\'s faces turn. This factoring shows why it is natural, although not maybe the most efficient, to solve the cube in phases for corners and edges and in subphases for positioning and orienting pieces. The computer then asks the robot to show it the next face, and the process is repeated until all the faces have been scanned.

And as something some of you may not know, the turning of any face twice (180 degrees) without turning another face before it has been turned, cubists count that as one move. Now all four should be face-up. Move Cross cubies between like Points on the upper and lower layers of as many of the faces as possible. Often this will just put one Cross into place, but look for places where two like-colored Crosses are on the same face, move them to the equator, use ex to get them both to the right face, and use f1 to put both Crosses above and below the equator.

The puzzle consists of the twenty-six unique miniature cubes on the surface. However, the centre cube of each face is merely a single square facade; all are affixed to the core mechanisms. Looking at the white face we do indeed see a white cross, however the white / red edge cubie does not match up with the red centre. Ditto re the white / blue cubie. Yes, the same old coloured six faced puzzle which took the 1980?s by storm. The most popular and successful puzzle of all times with its 43 quintillion (43,252,003,274,489,856,000) possible permutations is not to be considered a mere toy.