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4X4X4 ALGORITHMS PDF

March 29, 2019

Learn how to solve the 4x4x4 Rubik’s Revenge Cube easily. the 4×4 Rubik’s revenge is very similar to it and requires only few more algorithms to learn. The You CAN Do the Rubiks Cube Program objective is to share the secrets of solving the Rubiks Cube with youth and to also encourage them to help others to . This page attempts to list move optimal algorithms for every common form of parity encountered in popular 4x4x4 (Rubik’s Revenge) solving.

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For example, the second 15 BHTM algorithm mentioned above could be expressed later on this page with the following algorithm bar, since all of its inner slice turns can be made wide hence the “Y” instead of an “N” and its first and last moves can be wide and still solve the pure dedge flip case lagorithms why the algorithm begins and ends with Rw2 instead of r2.

Recalling that the term “2-cycle” is interchangeable with the common term “swap”, these cases perform 2 2-cycles of wing edges. Symmetrical algorithms are conjugates. However, the term pure is more formally associated with an algorithm being supercube safe –algorithms which do not permute move any centers in the supercube version of a given order. Algoithms illustration of how algorithm bars are going to be labelled, let us temporarily algorrithms it “Old Standard Alg” and called the author “anonymous”.

The shortest and well-known n x n x n cube odd parity fix which preserves the colors of the centers is r U2 4 r 13,9.

Algorithm names will be explained next. Many of the algorithms on this page need to be “adjusted” to work for the n x n x n Rubik’s cube. The remaining PLL parity cases which involve the fewest number of pieces besides the most popular case above are the following.

Since this algorithm contains move repetitionit can be written more compactly as f2 r E2 2 r f2. Here’s one video tutorial that illustrates the typical process. Although the third column in the majority of the algorithm bars on this page is blank, when it is not blank, it is either an algorithm name given by the algorithm author or an algorithm label for organizational or classification purposes.

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How to solve a 4×4 Rubik’s Cube

Their inner slice turns may all be replaced with wide turns and still preserve the first three layers F3L of the 4x4x4 and flip one dedge. Ensure the front face colours match. Since all OLL parity algorithms contain an odd number of inner slice quarter turns, one can technically fix any 4x4x4 wing edge odd parity case by executing a single slice quarter turn and then resolve the cube using an even number of inner slice quarter turns.

Page actions View View source History More. They are called “2 2-cycles” for short.

Before starting any algorithm, make sure that the front dark grey face is facing you and the top layer is on the top. However, you can often reach a position which seems like it is in your subset, but which is actually not, and to solve the puzzle you have to briefly go outside your constrained set of moves to bring the puzzle back into the subset you want. In fact, the most popular speedcubing single parity algorithms perform additional swaps besides flipping a single dedge due to the use of wide turns.

How to speedsolve the 4x4x4 cube – Solving the 3x3x3

Solutions listed under a case image which are not move optimal in the move metric in which algorithms are sorted by:. This is especially common if two algorithms are in a different move set consist only of certain types of turns. The following 21 slice quarter turn algorithm was the only 21 slice quarter turn 3x3x3 algorithm which was closest to being a single dedge flip algorithm. On January 24,speedsolving. However, this PDF includes all cases and relatively short algorithms to solve each one directly.

This allows one to use fewer moves to solve any given case and gives one more options. We can count that this algorithm has 7 block half turn moves BHTM without breaking it up.

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How to Solve a 4×4 Cube- The Rubik’s Revenge

All algorithms can be applied to the 6x6x6 if instead of turning the outer 2 layers, turn the outer 3 layers; instead of turning 1 inner layer slice, turn 2 inner layer slices. No “conjugate assistance” is used. Front face For the purpose of this exercise we will use the red and green edges. Two algorithms of similar length the number of moves an algorithm contains can look and feel, when executing very different. At the same time, we can count a total of 11 qlgorithms quarter turn moves BQTM.

4x4x4 parity algorithms

Similar to doing an inner slice quarter turn like r to alggorithms fix the single dedge flip parity, an inner slice half turn such as r2 is technically all that is needed to fix PLL parity. However, the other 54 will only be encountered during a K4 Method solve.

Reduction parity occurs when you try to reduce the puzzle so it can be solved by a constrained set of moves, putting it into some subset of the positions. If not, Right clock, Top anti, Back clock. If they are on the same layer as displayed on the left you can use either of the two algorithms below to place them on different layers as displayed on the right.

The problem is that we no longer have a third unmatched pair to realign the centres with. See the PLL Parity section for details. This is because the Reduction Method and its variants is the most commonly used solving method. However, we can also just use the inner slice turns r and r’ as well. The obvious example is PLL parity in 4x4x4: When you still have to solve the last two edge elements you do not have a third set to reset the centres with.

Below are two single dedge flip 2-cycle algorithms illustrating the idea.