# 4X4X4 ALGORITHMS PDF

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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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: 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. You can safely rotate any face to create a starting alggorithms.

Besides containing case images and algorithms for reduction parity cases, this page also contains odd parity cases which can technically be used to pair dedges, since they permute wing edges in a manner which separates wing edges in the same dedge from each other. The problem is that we no longer have a third unmatched pair to realign the centres with.

Clearly this algorithm has much more of a variety of moves than “Lucas Parity”. Pairing the Edges The first part of this process, as with the centres, is more about seeing what is happening rather than learning algorithms. Symmetrical algorithms are conjugates. 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.

There are many types of parity cases which can occur during a 4x4x4 solve, but the cases which result from attempting to reduce a fully scrambled 4x4x4 into a pseudo 3x3x3 state this means an even n x n x n cube in which all of its composite edges are complete and all of its centers are complete and are in the correct center orientation, in general.

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. When you still have to solve the last two edge elements you do not have a third set to reset the centres with. 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 alforithms executing a single slice quarter turn and then resolve the cube using an even number of inner slice quarter turns.

More algorithmms be explained about what other pieces of information in the algorithm bar above mean later. They also happen to be supercube safe.

Naturally, these type of parity cases are called reduction parity.

We can count that this algorithm has 7 block half turn moves BHTM without breaking it up. The last pair to be solved are placed on ether side of the front face. In fact, the most popular speedcubing single parity algorithms perform additional swaps besides flipping a single dedge due to the use of wide turns. This page not only contains commonly practiced speedsolving algorithms: Algorithms for one such parity case already mentioned are included on this page.

Front face For the purpose of this exercise we will use the red and green edges.

## How to solve a 4×4 Rubik’s Cube

However, the other 54 will only be encountered during a K4 Method solve. Clearly this algorithm does not preserve the pairing of dedges, but it does preserve the colors of the centers; and it apgorithms 7 inner slice quarter turns, an odd number. Algorithm names will be explained next. Despite that one can technically solve algorifhms 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 3x3x3, special algorithms have been developed for every case.

One can split up r2 as r r or as r’ r’ and insert 3x3x3 moves to obtain the pure form of PLL parity. This allows one to use fewer moves to solve any given case and gives one more options. For illustration of how algorithm bars are going to be labelled, let us temporarily name it “Old Standard Alg” and called the author “anonymous”.

OLL parity falls under this definition too so the reduced 4x4x4 has four times as many positions as you would expect. The 11,7 above discolors centers on, say, the 5x5x5 cube. So algoriyhms will need to learn the next algorithm to pair the last two unpaired edge sets. Two of the most popular 15 BHTM move algorithms which flip a single dedge on the 4x4x4 are the following.

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 4xx4 move the pieces that they correctly orient in any particular fashion, any 4x4x4 algorithm which solves:.

### Solving your Rubik’s Revenge (4x4x4)

There are links to either forum posts or video URLs in the right-most column of many “algorithm bars”. Wiki tools Special pages. Two algorithms of similar length the number of moves an algorithm contains algirithms look and feel, when executing very different.

In addition to the fact that all parity cases on this page are each represented by a case image, The number of moves an algorithm contains in these two big cube algorifhms metrics is written next to them in the form of the ordered pair, BQTM, BHTM.

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. 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 this page.

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

Recalling that the term “2-cycle” is interchangeable with the common term “swap”, these cases perform 2 2-cycles of wing edges. The “w” is short for “wide”. This parity situation can be transformed into 21 other last layer forms of what is commonly called PLL parity by performing a 3x3x3 PLL and adjusting the upper face AUF as needed.

You might be lucky when you have finish pairing the third last pair with the final two pairs being matched when the centres are realigned, however, this is less likely than still having to match them. If not, Right clock, Top anti, Back clock. 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 hence why the algorithm begins and ends with Rw2 instead of r2.

Ensure the front face colours match.

## 4x4x4 parity algorithms

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 4x44x4. This was deduced from the same idea that Floyd Newberry came up with for using a short repeated sequence to directly solve a 2-cycle. Some algorithms may only be translatable to higher order even cubes 6x6x6, and larger. The four cases above clearly 4x4x44 two dedgesbut they can also be interpreted as doing two separate swaps of wing edges.

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.