Collection of 4x4x4 Reduction and Parity algorithms. Digital cheat sheet tutorial on how to solve 4x4x4 Rubik’s cube. Solution for 4×4 magic cube and. You can find all the 4x4x4 parity algorithms here: wiki/ ยท share|improve this answer. Learn how to solve the 4x4x4 Rubik’s Revenge Cube easily. Full guide Why PLL parity occurs on 4×4 cubes while it’s impossible on a regular 3×3 cube?.

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They also happen to be supercube safe. Since this algorithm contains move repetitionit can be written more compactly as f2 r E2 2 r f2.

4x4x4 parity algorithms

See the PLL Parity section for details. Page actions View View source History More.

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. Typically the number of positions you can pariyy is some small multiple of the number of positions you 4x4xx4. 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.

How to solve a 4×4 Rubik’s Cube

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.

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. This 2-cycle of wings is as common during a K4 Method solve as the single dedge flip is, but it should never arise during a solve using the Reduction Method because two dedges are not paired up. Not logged in Create account Log in.

Algorithms with fewer BHTM are listed first in each category. 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.


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? 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: Tom Rokicki and Ed Trice.

rubiks cube – Simple 4x4x4 OLL parity algs? – Puzzling Stack Exchange

Algorithms for the Cage Methodas well as algorithms for theoretical purposes and general 4x4x4 exploration are present as well. Perhaps if the 3x3x3 Classic Setup is used up to depth 21, some 21 slice quarter turn solutions may be found.

OLL parity falls under this definition too so the reduced 4x4x4 has four times as many positions as you would expect. 4d4x4 of the algorithms on this page need to be “adjusted” to paritj for the n x n x n Rubik’s cube.

For example, performing a swap of dedges to a fully solved 4x4x4 and then flipping the front dedge resulting from that swap gives us the following. The remaining PLL parity cases which involve the fewest number of pieces besides the most popular case above are the following.

It is common convention among the speedcubing community to use algorithms which contain wide double layer turns to solve OLL parity instead of oarity inner layer slices.

This is because the Reduction Method and its variants is the most commonly used solving method. The “w” is short for “wide”. Their inner slice turns may all be replaced with wide turns and still preserve the first three layers F3L paritu the 4x4x4 and flip one dedge.

In fact, the most popular speedcubing single parity algorithms perform additional swaps besides flipping a single dedge due to the use of wide turns. However, pariy PDF includes all cases and relatively short algorithms to solve each one directly.

Some algorithms may only be translatable to higher order even cubes 6x6x6, and larger. We can count that this algorithm has 7 block half turn moves BHTM without breaking it up. In practice, human creation of symmetrical algorithms requires more trial and error of different paths in both creation of the base the base is defined as the 4x4x sequence B in A B A’ and final setup moves, whereas the creation of non-symmetrical algorithms requires having knowledge of forming different pieces individually and knowing how to combine them.


For illustration of how algorithm bars are going to be labelled, let us temporarily name it “Old Standard Alg” and called the author “anonymous”.

For this particular set, a search up through depth 18 was performed. 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. Below are two single dedge flip 2-cycle algorithms illustrating the idea. U2 r2 U2 r2 Uw2 r2 Uw2.

Despite that one can technically paritty 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 3x3x3, special algorithms have been developed for every case.

At the same time, we can count a total of 11 block quarter turn moves BQTM. 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 4c4x4.

Besides the notes mentioned already about what types of algorithms are contained within this page, including some of the specific common characteristics they share, this section touches on how they “look” and “feel” when they are displayed in notation and executed on a cube, respectively.