XNXNXNXN Cube Algorithms PDF

Erno Rubik (born July 13, 1944, in Budapest, Hungary) is the creator of the iconic 1980s toy Rubik’s Cube. The Rubik’s Cube is made up of 26 little cubes that rotate around a central axis and have nine different coloured cube faces arranged in three rows of three each. On our website, you will get his excellent book “XNXNXNXN Cube Algorithms.”

Summary

RUBIK’S Revenge is made up of six separate characters. Each face will be a single solid color after the puzzle is completed. The problem is divided into 12 phases, each of which may be rotated separately from the others.

The Ultimate Revenge Challenge

The RUBIK’S Revenge is a larger version of the original RUBIK’S Cube. Some of the manoeuvres that work on the original Rubik’s Cube also work on Rubik’s Revenge, but don’t get your hopes up: the similarities end there.

Rubik’s Revenge is a whole different kind of puzzle game. Before attempting to match the pieces, twist and rotate the jigsaw a few times until each face is a single colour. However, it is recommended that you start with the first few sections of this tutorial. Make an attempt to intelligently answer the question, but be cautious. Take utmost caution. Your success will be determined by how successfully you handle any unforeseeable issues that arise. You should be aware of Rubik’s Revenge – the Ultimate Challenge, which has millions of additional possibilities than the original Cube, as well as its own devilry. Prepare for your retaliation since revenge consists of 56 separate cubes.

Face Pieces are 24 single-colour pieces, Edge Pieces are 24 two-colour pieces, and Corner Pieces are 8 three-colour pieces. When the problem is finished, the Yellowface is always opposite the Whiteface; Blue is opposite Green, and Red is opposite Orange. Furthermore, as seen in the illustration, when the Yellowface is on top, Blue is in front and Red is to the right.

When you’ve conquered the task, there’s more pleasure to be had. Attempt to solve the problem layer by layer from the top down. You have a 50/50 chance of solving it.

Try to figure out the shortest sequence that will solve the problem from this point. Other layouts are also feasible. Is it possible to create a checkerboard design on all of the faces?

Notational System

Simply keep track of the most important effects. Assume you discover a sequence that transfers one edge piece from the bottom layer to the mid-top layer while leaving the top layer and other mid-top layer edge pieces unchanged.

The only consequence that counts is this. Keeping track of what happens to the remaining pieces on the bottom and mid-bottom levels isn’t needed. All you need to know is where the component started in the mid-top layer and where it ended. Your starting and ending locations, for example, should be specified as follows: (along with your series of movements) (along with your sequence of moves).

Suggestions with a Twist

The two types of twists that may be applied to any layer are a quarter twist and a half twist. With a quarter twist, one layer of the puzzle turns 90 degree clockwise or anticlockwise. A half twist turns one layer 180 degrees. (Twisting a layer three quarters in the other direction is the same as twisting it one way.)

Take into account the orientation. With a half twist, for example, move the rear right corner piece diagonally opposite and upside down. If two-quarter twists of two separate layers were changed, the identical component would end up in the same place but in a different orientation. If you do the motions backwards, the difficulty will be restored.

Twist in half to make a quarter twist.

Start at the solved position and twist two neighbouring layers at a time (as if the cube were 2×2), attempting to obtain each face with four 2×2 blocks of four distinct colours as shown. Now attempt to put the puzzle back together in the same position as it was solved. It’s similar to attempting to solve the Mini-Cube or only the Revenge’s corners. If your Revenge becomes perplexing, don’t worry; the following section has some General Hints.

Suggestions for Everyone

If you haven’t already, now is the time to mess up your Revenge. After then, try to come up with a suitable solution to the riddle. Unlike the Rubik’s Cube, the face pieces do not identify which face is which colour. Each colour has four distinct face regions in actuality. The easiest way to get started is with a corner piece. Make sure your chosen corner is on the puzzle’s top rung. In this example, the Red/Yellow/Blue component has been used. This illustration shows what colour the faces must be. Blue is the polar opposite of Green, Red is the polar opposite of Orange, and Yellow is the polar opposite of White, so keep that in mind.

Experiment with various twisting sequences to see what you can come up with. Look for any that allows you to move pieces you’ve previously set aside and then return them to their original location. Other yet-to-be-installed pieces have regularly been repositioned or shifted about. Any beneficial effects should be recorded so that they may be replicated to achieve the desired result.

However, you’ll need a system to track your movements and collisions in order to do so. To distinguish between similar jigsaw pieces, you’ll need to apply numbered or lettered stickers. (For example, blue facepieces may be numbered 1 to 4 and blue/red edge pieces A and B.) This makes determining what has changed and where it has moved much easier. The next section goes through how to keep track of your sequences.

Revenge Sequences

This section contains a number of generic sequences that may be used in a variety of situations. (Other, more specific sequences may be sought.) The notation scheme used in this part is the same as it was in the preceding section. At both the start and finish points, the bottom face is visible. (Or the perspective you’d have if you tilted the puzzle away from you.) Due to space constraints, the start and finish points for the Reverse and Mirror versions have been excluded. Always keep the puzzle in the correct starting position for the component you’re moving. The pieces with an asterisk (*) are the same as the rest of the jigsaw. The relevant portions to be moved are hatched to minimize confusion with the colours you’re putting.