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.

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. Pairing the Edges The first part of this process, as with the centres, is more about seeing what is happening rather than learning algorithms. Finally, one of the simplest OLL parity more specifically, a double parity algorithms found in December of to remember also consists of a short repeated sequence:.

Since this algorithm contains move repetitionit can be written more compactly as f2 r E2 2 r f2. We can count that this algorithm has 7 block half turn moves BHTM without breaking it up.

4x4x4 parity algorithms

The obvious example is PLL parity algorrithms 4x4x4: No “conjugate assistance” is used. For this particular set, a search up through depth 18 was performed.

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. The first part of this process, as with the centres, is more about algogithms what is happening rather than learning algorithms. In fact, the most popular speedcubing single parity algorithms perform additional swaps besides flipping a single dedge due to the use of wide turns.

The term “parity” can be used to describe a number of situations that occur during a 4x4x4 solve which cannot manifest during a 3x3x3 standard size Rubik’s cube solve.

For illustration of how 4x44x bars are going to be labelled, let us temporarily name it “Old Standard Alg” and called the author “anonymous”.

The most popular 2-cycle a swap of two pieces besides the single dedge flip case is the following. We can clearly see this in the above algorithm bar. 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.

Solutions listed algorthms a case image which are not move optimal in the move metric 4xx4x4 which algorithms are sorted by:. Two algorithms of similar length the number of moves an algorithm contains can look and feel, when executing very different.

Before starting any algorithm, make sure that the front dark grey face is facing you and the top layer is on the top. algoritthms

There are actually 58 of these cases in the last layer, in general. 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 PDF includes all 58 cases and short algorithms to solve each one. A few of the slice turns algprithms be wide to still just flip a single dedge, for example. 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.

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? The following 21 slice quarter alggorithms algorithm was the only 21 slice quarter turn 3x3x3 algorithm which was closest to being a single dedge flip algorithm. Below are two single dedge flip 2-cycle algorithms illustrating the idea.

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 move metrics is written next to them in the form of the ordered pair, BQTM, BHTM.

Most of the algorithms on this page affect some centers of the 4x4x4 supercube: It is also clearly not a speedsolving algorithm as “Lucas Parity” is. This page will keep strong focus on reduction parity OLL parity and PLL parity cases, but it will also algorifhms 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.

Simply Rubik A solution for beginners and much more. At the same time, we can count a total of 11 algoriyhms quarter turn moves BQTM.

Solving your Rubik’s Revenge (4x4x4)

This allows one to use fewer moves to solve any given case and gives one more options. Combining zlgorithms form of PLL parity and a single dedge flip creates one of the many cases of what’s commonly called double parity. This 2-cycle of wings is as common during a Alhorithms Method solve as the single dedge flip is, but it should never arise during a solve using the Reduction Method because two dedges algirithms not paired up.

If they are on 4x4s4 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 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. For the purpose of this exercise we will use the red and green edges. Front face For the purpose of this exercise we will use 4xx4 red and green edges. If not, Right clock, Top anti, Back clock. Naturally, these type of parity cases are called reduction parity.

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. This algorithm solves the cube for Fig. Your browser does not support script. Here’s one video tutorial that illustrates the typical process.

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. Algofithms that the term “2-cycle” is interchangeable with the common term “swap”, these cases perform 2 2-cycles of wing edges. Ensure the front face colours match. 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.

So you will need to learn the next algorithm to pair the last 44x4x4 unpaired edge sets.

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

The 11,7 above discolors centers on, say, the 5x5x5 cube. 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.

The problem is that we no longer have a third unmatched pair to realign the centres with. This page not only contains commonly practiced speedsolving algorithms: 4d4x4 actions View View source History More.