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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However, this PDF includes all cases and relatively short algorithms to solve each one directly.

We can clearly see this in the above algorithm bar. No “conjugate assistance” is used. You now have a 3x3x3 cube, however you may algoritthms have parity problems.

4x4x4 parity algorithms – Wiki

Pairing the Edges The first part of this process, as with the centres, is more about seeing what is happening rather than learning algorithms.

In fact, there has been debate about what situations are considered to be a parity casebut there is one situation of which any cuber who uses the term “parity” for the 4x4x4 identifies as parity: We can break up this algorithm as f f r E E r E E r f f to count 4 f’s and 3 r’s.

It’s worthy to note that the majority of algorithms in this section, like the 25,15 solutions, were found by using the 3x3x3 Classic Setup in Cube Explorer. We can count that this algorithm has 7 block half turn moves BHTM without breaking it up. When you still have to solve the last two edge elements you do not have a third set to reset the centres with.

This page will keep strong focus on reduction parity OLL parity and PLL parity cases, but it will also include a limited number of other parity situations which are also common in other solving methods, as well as cases which share some characteristics with reduction parity algorithms.

Wiki tools Special pages. Two algorithms of similar length the number of moves an algorithm contains can look and feel, when executing very different.

You can safely rotate any face to create a starting configuration. It is common convention among the speedcubing community to use algorithms which contain wide double layer turns to solve OLL parity instead of single inner layer slices. Front face For the purpose of this exercise we will use the red and green edges.

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Below is an example algorithm found in December of An equally well-known form of reduction parity this term will be defined formally soon besides the single dedge flip is switching two opposite dedges in the same face.

The “w” is short for “wide”.

4x4x4 parity algorithms

One can split up r2 as r r or as r’ r’ and insert 3x3x3 moves to obtain the pure form of PLL parity. For example, one of the most common single parity algorithms used by the speedcubing community is “Lucas Parity”. The aim of this section algorighms to take you from this to this completing the edges.

Since the double parity case above and the single dedge flip case both have a single dedge flipped, and since OLL algorithms do not necessarily aim to permute move the pieces that they correctly orient in any particular fashion, any 4x4x4 algorithm which solves:.

Some algorithms may only be translatable to higher order even cubes 6x6x6, and larger. At the same time, we can count a total of 11 block quarter turn moves BQTM.

How to solve a 4×4 Rubik’s Cube

For convenience, an algorithm is written with the maximum number of wide turns, should that version of it still preserve as much as the version of it without any wide turns.

Page actions View View source History More. If they are on the same layer as algorifhms on the left you can use either of the two algorithms below to place them on different layers as displayed on the right.

You will notice that the pair are matched after the first rotation in the algorithm, however, the four centres on the side xlgorithms have now been split, the rest of the algorithm places the newly matched pair on the up face then replaces them 4x4x the split pair which are turned to the front face so the side face centres can be realigned. There is actually a total of last layer 4-cycles, but since 4-cycles in two dedges are the only ones encountered using the most popular 4x4x4 solving methods, they are the only ones shown on 4s4x4 page.

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Not logged in Create account Log in. There are links to either alggorithms posts or video URLs in the right-most column of many “algorithm bars”. 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. On January 24,speedsolving. If not, Right clock, Top anti, Back clock. Which face of the cube is not important because all we are doing in this section is matching the same coloured edges.

So you will need to learn the next algorithm to pair the last two unpaired edge sets. Since this algorithm contains move repetitionit can be written more compactly as f2 xlgorithms E2 2 r f2.

Tom Rokicki and Ed Trice. Websites such as bigcubes. Algorithms for the Cage Methodas well as algorithms for theoretical purposes and general 4x4x4 exploration are present as well.

However, many who solve the 5x5x5 Rubik’s cube using some variant of the Reduction Method will come across this case; and thus several but not all of the algorithms listed on this page which solve this case directly 4x4x be used for completing the tredge-tripling stage of a 5x5x5 Reduction solve. Below are two single dedge algorithmw 2-cycle algorithms illustrating the idea.

Symmetrical algorithms are conjugates. For this particular set, a search up through depth 18 was performed. The last pair to be solved are placed on ether side of the front face.

Despite that one can technically solve all 22 PLL parity cases by executing an algorithm meant to solve any one of them to any face and then finish solving the 4x4x4 as if it was a algirithms, special algorithms have been developed for every case.

OLL parity falls under this definition too so the reduced 4x4x4 has four times as many positions as you would expect.