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The Axis Cube, also known as the Axel Cube, is a shapeshifting 3x3 mod that is mass-produced.
Solve[]
The solve is similar to that of a Mastermorphix's as they are both 3x3x3 shape modifications. Any 3x3x3 method of solving will get you most of the way there, but layer-by-layer is most commonly used as it is the most simple method. The only real difference between the Axis Cube and a regular 3x3x3 is that the face rotation matters when solving an Axis Cube (similar to a picture cube). If you need to spin 1 center 180 degrees, than you can place the center at the top and do (R U R' U) 5 times. If you need to spin 2 adjacent centers 90 degrees each, then place the 2 centers on the top and right, and do (R U R' U R U2 R') Y (L' U' L U' L' U2 L) Y' (R U' R U R U R U' R' U' R2), after that, the cube should be either solved, or both faces will need to be rotated 180 degrees in which case you can use the (R U R' U)*5 algorithm to solve each center individually.