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Troll Cube
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A sticker variant that works like a Super 3x3x3 and is always solvable after arbitrary reassembling.

This puzzle was made to demonstrate all parity restrictions of a 3x3x3.
There are five types of parity restrictions to a super 3x3x3:
1. Permutation of Edges
2. Permutation of Corners
3. Orientation of Edges
4. Orientation of Corners
5. Orientation of Centers (Including 90-degree turn only)

When a super 3x3x3 (with visible orientations of the faces) is disassembled and reassembled without taking care about the configuration there is a probability of only 1/24 to achieve a solvable permutation.
In this case the stickering of a mass produced 3x3x3 was modified
1. to make the orientations of the faces visible
2. to create a variant that is always solvable after arbitrary reassembling.

This variant has the same number of permutations as the super 3x3x3.
Please note that there is a pair of identical edges AND a pair of identical corners. On a non-super 3x3x3 one pair would have been sufficient but since there are no identical faces two pairs are necessary.



Thank you to the following people for their assistance in helping collect the information on this page: ChoongMyoung Lee.


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