Solution
People able to rapidly solve puzzles like this usually favour the reduction method of grouping similar edge pieces into solid strips, and centers into one-colored blocks. This allows the cube to be quickly solved with the same methods one would use for a 3×3×3 cube. As illustrated to the right, the fixed centers, middle edges and corners can be treated as equivalent to a 3×3×3 cube. As a result, the parity errors sometimes seen on the 4×4×4 cannot occur on the 5×5×5 unless the cube has been tampered with.
Another frequently used strategy is to solve the edges of the cube first. The corners can be placed just as they are in any previous order of cube puzzle, and the centers are manipulated with an algorithm similar to the one used in the 4×4×4 cube.
A less frequently used strategy is to solve one side and one rim first, then the 2nd, 3rd and 4th rim, and finally the last side and rim. That is, like building a four floor building. First the basement, then each floor, and finally the roof.
Read more about this topic: Professor's Cube
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