Ever since the release of the original Rubik's Cube, people have been striving to create new and more complicated puzzles. Some have changed the shape entirely from a cube to a parallelepiped (and various other shapes), some have only seen simple decal mods. However, the most common of these updated Rubik's cubes is as simple as it gets: like the 3x3, but bigger.
The original puzzle of
nxnxn cube algorithms pdf has been expanded to create bigger and more challenging alternatives: the 4x4, 5x5, 6x6 and 7x7. These puzzles may seem quite complex and get more and more difficult as the number of layers increases, however, their solutions remain relatively similar. Once you know the reduction method for 4x4 and 5x5, you can technically solve any NxN puzzle given enough time.
The main method used to solve larger order NxN cubes is called “Reduction”, or “Redux” for short. The method involves a few simple steps that are used to “reduce” the puzzle to the equivalent of a 3x3.
A 3x3 has 1 edge piece per edge and 1 center per face, whereas a 4x4 has 2 edge pieces that make up one “edge” and 4 center pieces which make up one “centre”. Reduction involves solving all the edges (matching up the pieces from the same edge to make one solved “edge”) and the centers, then solving the cube like a 3x3 (all of the edge pieces have been “reduced” to a single edge, and all of the centers have been “reduced” to one solid color per face).
For each step a walkthrough will be provided for the 4x4 and 5x5 cubes, as most even-layered and odd layered puzzles share the same properties (4x4 and 6x6, 5x5 and 7x7 etc.).
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