| rdfs:comment
| - The Void Cube is slightly more difficult than a regular Rubik's Cube due to parity. The lack of center cubes alters the parity considerations. A 90˚ rotation of a face either on the regular Rubik's Cube or on the Void Cube swaps the positions of eight cubes in two, odd parity, four cycles. Overall, a face turn is an even permutation. On the regular cube a 90˚ rotation of the whole cube about a principal axis swaps the positions of 24 cubes in six, odd parity, four cycles. On the regular cube a whole cube rotation is an even permutation. On the other hand, lacking center cubes, a 90˚ whole cube rotation on the Void Cube swaps 20 cubes in five, odd parity, four cycles. Thus, a whole cube rotation on the Void Cube is an odd permutation. In consequence, on the Void Cube turning the faces of th
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| abstract
| - The Void Cube is slightly more difficult than a regular Rubik's Cube due to parity. The lack of center cubes alters the parity considerations. A 90˚ rotation of a face either on the regular Rubik's Cube or on the Void Cube swaps the positions of eight cubes in two, odd parity, four cycles. Overall, a face turn is an even permutation. On the regular cube a 90˚ rotation of the whole cube about a principal axis swaps the positions of 24 cubes in six, odd parity, four cycles. On the regular cube a whole cube rotation is an even permutation. On the other hand, lacking center cubes, a 90˚ whole cube rotation on the Void Cube swaps 20 cubes in five, odd parity, four cycles. Thus, a whole cube rotation on the Void Cube is an odd permutation. In consequence, on the Void Cube turning the faces of the cube together with whole cube rotations can produce an arrangement where two cubes are swapped and the rest are in their original positions. This and other odd parity arrangements are not possible on the regular Rubik's Cube and afford the solver an additional challenge. These permutations are solvable with a number of simple algorithms (for example:). To put the above into practical terms more simple to visualize, the set of moves that will transform a solved Rubik's Cube into any of the "cat's eye" or "snake's eye" variations, where the middle pieces on 2 sides, or all 6 sides, are of different colors than the surrounding, instead result in another solution on a void cube.
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![[RDF Data]](/fct/images/sw-rdf-blue.png)