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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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Should one wish to induce an odd permutation in the wing edges of the 4x4x4 with a short algorithm without having to restore the lagorithms as much as applying an inner slice quarter turn requires, below are alggorithms short and simple algorithms one can use.

On January 24,speedsolving. 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.

However, we can also just use the inner slice turns r and r’ as well. The most popular 2-cycle a swap of two pieces besides the single dedge flip case is the following. Simply Rubik A solution for beginners and much more.

Since this algorithm contains move repetitionit can be written more compactly as f2 r E2 2 r f2. A few of the slice turns can be wide to still just flip a single dedge, for example. When you still have to solve the last two edge elements you do not have a third set to reset the centres with.

However, despite that all 25,15 single dedge flip solutions which begin and end with an l2 or r2 move can instead be Lw2 and Rw2, respectively, all slices will be expressed as single slice lowercase turns for simplicity for all 25,15 solutions.

The following 21 slice quarter turn algorithm was the only 21 slice quarter turn algoruthms algorithm which was closest to being a single dedge flip algorithm. A clear example of a symmetrical algorithm is Stefan Pochmann’s n x n x n opposite PLL parity algorithm, Rw2 F2 U2 r2 U2 F2 Rw2where all moves in the algorithm are conjugate moves except for the one move in the middle.

If they are not use either of the first two algorithms on this page. You will notice that the pair are matched after the first rotation in the algorithm, however, the four centres on the side faces have now been split, the rest of the algorithm places the newly matched pair on the up face then replaces them with the split pair which are turned to the front face so the side face centres can be realigned.


More will be explained about what other pieces of information in the algorithm bar above mean later. Below is an example algorithm found in December of Recalling that the term “2-cycle” is interchangeable with the common term “swap”, these cases perform 2 2-cycles of wing edges. One can split up r2 as r r or as alvorithms r’ and insert 3x3x3 moves to obtain the pure form of Algorithmms parity.

For the purpose of this exercise we will use the red and green edges. In MayMichael Gottlieb defined reduction parity in detail. That is, besides just showing parity cases and algorithms for those cases, this page attempts to attribute credit to the original founder of an algorithm as well.

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 4s4x4 to permute move the pieces that they correctly orient in any particular fashion, any 4x4x4 algorithm which solves:.

If not, Right clock, Top anti, Back clock. Front allgorithms For the purpose of this exercise we will use the red and green edges. So you will need to learn the next algorithm to pair the last two unpaired edge sets. This PDF includes all 58 cases and short algorithms to solve each algorihtms. There are many types of parity cases which can occur during a 4x4x4 solve, but the cases which result from aglorithms 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.

This is especially common if two algorithms are in a different move set consist only of certain types of 4x4x. The creation of a symmetrical algorithm requires one to confront the question “how can I change what I have into what I want it to be?

At the same time, we can count a total of 11 block quarter turn moves BQTM.

4x4x4 parity algorithms – Wiki

Perhaps if the 3x3x3 Classic Setup is used up to depth 21, some 21 slice quarter turn solutions may be found. 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. However, this PDF includes all cases and relatively short algorithms to solve each one directly.


There are actually 58 of these cases in the last layer, in general. You now have a 3x3x3 cube, however you may still have parity problems. 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. 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 shortest 4x4x4 cube odd parity fix which preserves the colors of the centers essentially independently found in by Tom Rokicki and Ed Trice is f2 r E2 r E2 r f2 11,7. This allows one to use fewer moves to solve any given case and gives one more options. Some algorithms may only be translatable to higher order even cubes 6x6x6, and larger.

How to solve a 4×4 Rubik’s Cube

Algorithms with fewer BHTM are listed first in aglorithms category. Ensure the front face colours match. 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. Before starting any algorithm, make sure that the front dark grey face is facing you and the top layer is on the top. 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.

We can count that this algorithm has 7 block half turn moves BHTM without breaking it up.

The remaining PLL parity cases which involve algoritbms fewest number of pieces besides the most popular case above are the following. 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. 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 algorihhms slices.

algkrithms In fact, the most popular speedcubing single parity algorithms perform additional swaps besides flipping a single dedge due to the use of wide turns. That is, there is a total of 22 PLL parity cases.