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Professor's Cube
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==Solutions== [[File:Rubik szétszedve.jpg|thumb|An original Professor's Cube with many of the pieces removed, showing the 3×3×3 equivalence of the remaining pieces]] [[File:3cubes.jpg|thumb|Center is an EastSheen 5×5×5 cube with multicolored stickers, which increase difficulty because the centers need to be in correct places.]] Speedcubers usually favor the '''Reduction method''' which groups the centers into one-colored blocks and grouping similar edge pieces into solid strips. This turns the puzzle into an oddly-proportioned 3×3×3 cube and allows the cube to be quickly solved with the same methods one would use for that puzzle. 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, once reduction is complete the parity errors sometimes seen on the 4×4×4 cannot occur on the 5×5×5, or any cube with an odd number of layers.<ref>{{Cite web|title=Reduction Method - Speedsolving.com Wiki|url=https://www.speedsolving.com/wiki/index.php/Reduction_Method|website=www.speedsolving.com|access-date=2020-05-21}}</ref> The Yau5 method is named after its proposer, Robert Yau. The method starts by solving the opposite centers (preferably white and yellow), then solving three cross edges (preferably white). Next, the remaining centers and last cross edge are solved. The last cross edge and the remaining unsolved edges are solved, and then it can be solved like a 3x3x3.<ref>{{Cite web|title=Yau5 method - Speedsolving.com Wiki|url=https://www.speedsolving.com/wiki/index.php/Yau5_method|website=www.speedsolving.com|access-date=2020-05-21}}</ref> Another frequently used strategy is to solve the edges and corners of the cube first, and the centers last. This method is referred to as the Cage method, so called because the centers appear to be in a cage after the solving of edges and corners. 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.<ref>{{Cite web|title=Cage Method - Speedsolving.com Wiki|url=https://www.speedsolving.com/wiki/index.php/Cage_Method|website=www.speedsolving.com|access-date=2020-05-21}}</ref> A less frequently used strategy is to solve one side and one layer first, then the 2nd, 3rd and 4th layer, and finally the last side and layer. This method is referred to as Layer-by-Layer. This resembles CFOP, a well known technique used for the 3x3 [[Rubik's Cube]], with 2 added layers and a couple of centers.<ref>{{Cite web |url=http://www.rubiks-cube.org/ |title=Rubiks-Cube.org |access-date=2020-05-11 |archive-url=https://web.archive.org/web/20170527001900/http://rubiks-cube.org/ |archive-date=2017-05-27 |url-status=dead }}</ref> ABCube Method is a direct solve method originated by Sunshine Workman in 2020. It is geared to complete beginners and non-cubers. It is similar in order of operation to the Cage Method, but differs functionally in that it is mostly visual and eliminates the standardized notation. It works on all complexity of cubes, from 2x2x2 through big cubes (nxnxn) and only utilizes two easy to remember algorithms; one four twists, the other eight twists, and it eliminates long parity algorithms.<ref>{{Cite web|title=ABCube Method - Speedsolving.com Wiki|url=https://www.speedsolving.com/wiki/index.php/ABCube_Method}}</ref>
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