5x5x5 cube flip algorithms12/30/2023 Orient the cube with the cross faces to the front and back. Four of the edges lie between outer faces and are attached to 2 identically colored outer edges. ![]() 8 of these reside on a cross face and have a single outer edge attached. Core edges are a little more complicated. On of these colors belongs to a cross face, the other two are outer face colors. On my cube, Yellow and White are cross faces, while Red, Blue, Green, and Orange are outer faces.Įach corner of the core has two outer corners attached to it, and this pair of outer corners shares the same three colors. Note that since the centers (and their colors) are fixed, the orientation of the colors is also fixed and thus the same two colors will always be cross faces, while the other four are outer faces. In a solved X-Cube, 2 of the faces are shaped like a cross (see the illustration above), while the other four faces are 3x5 rectangles. It may look a bit strange in the middle of a solution, but as long as no outer moves were performed you'll be able to restore the X-Cube with your favorite 3x3x3 algorithm. If you restrict yourself to these inner moves and mentally ignore all the extra stuff protruding from the core, then you can work the X-Cube just like a 3x3x3 cube. There are 6 "inner" moves (Front, Back, Left, Right, Up, Down) which operate on this 3x3x3 core just like a normal cube. ![]() ![]() One important observation is that the X-Cube can be treated as a 3x3x3 cube with extra outer faces attached to 4 of the 6 natural faces of a cube. Given the cube's asymmetry, many 5x5x5 manipulations will rapidly create a state from which outer moves are impossible (but would have been fine on a normal 5x5x5 cube). However, the 4 outer faces of the cube may only be rotated when the outer face is complete. You can see this "cube" here.Īt first glance, the X-Cube appears to be a subset of a 5x5x5 cube, and one might assume that techniques for solving a 5x5x5 would apply equally well to the X-Cube. The X-Cube is not a cube - it isn't even a regular polyhedron.
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