Rubik Oll Algorithms Pdf
Florentina Holcombe
The method presented here divides the cube into layers and you can solve each layer applying a given algorithm not messing up the pieces already in place. You can find a separate page for each one of the seven stages if the description on this page needs further explanation and examples.
Watch the cube being solved layer-by-layer with this method:
It fixes the white edges, corners then flips the cube to solve the second layer and finally completes the yellow face.
Press the Play button to start the animation
If you get stuck or you don't understand something, the online Rubik's Cube solver program will help you quickly fix your puzzle. All you have to do is input your scramble and the program will calculate the steps leading to the solution.
Use this stage to familiarize yourself with the puzzle and see how far you can get without help. This step is relatively intuitive because there are no solved pieces to watch out for. Just practice and don't give up easily. Try move the white edges to their places not messing up the ones already fixed.
In this step we have to arrange the white corner pieces to finish the first face. If you are very persistent and you managed to do the white cross without help then you can try to do this one as well. If you don't have patience I'll give you some clue.
Twist the bottom layer so that one of the white corners is directly under the spot where it's supposed to go on the top layer. Now, do one of the three algorithms according to the orientation of the piece, aka. in which direction the white sticker is facing. If the white corner piece is where it belongs but turned wrong then first you have to pop it out.
Until this point the procedure was pretty straight forward but from now on we have to use algorithms. We can forget the completed white face so let's turn the cube upside down to focus on the unsolved side.
In this step we are completing the first two layers (F2L). There are two symmetric algorithms we have to use in this step. They're called the Right and Left algorithms. These algorithms insert the Up-Front edge piece from the top layer to the middle layer while not messing up the solved white face.
If none of the pieces in the top layer are already lined up like in the images below, then turn the top layer until one of the edge pieces in the top layer matches one of the images below. Then follow the matching algorithm for that orientation.
After making the yellow cross on the top of the cube you have to put the yellow edge pieces on their final places to match the colors of the side center pieces. Switch the front and left yellow edges with the following algorithm:
All pieces are on their right places you just have to orient the yellow corners to finish the puzzle. This proved to be the most confusing step so read the instructions and follow the steps carefully.
Turn the top layer only to move another unsolved yellow piece to the front-right-top corner of the cube and do the same R' D' R D again until this specific piece is ok. Be careful not to move the two bottom layers between the algorithms and never rotate the whole cube!
A Rubik's Cube algorithm is an operation on the puzzle which reorients its pieces in a certain way. Mathematically the Rubik's Cube is a permutation group: an ordered list, with 54 fields with 6*9 values (colours) on which we can apply operations (basic face rotations, cube turns and the combinations of these) which reorient the permutation group according to a pattern.
For example: F R' U2 D means front face clockwise, right counterclockwise, a half turn of the upper face and then down clockwise.To read about slice turns, double layer turns, whole cube reorientation etc. go to the advanced Rubik's Cube notation page.
Every algorithm or permutation has a degree which is a finite number that shows how many times we have to execute the operation to return to the initial state.
Some examples:
F - degree is 4 because F F F F = 1.
R' D' R D - degree is 6 because we have to repeat the algorithm 6 times to return to the initial configuration.
There are many examples of iconic cubing things, but none are as omnipresent or as widely useful as algorithms. Below we will be going over the most famous algorithms, such as Sune, Sledgehammer, and many more. The majority of these will be CFOP algorithms, and some will be used in other methods such as Petrus, ZZ and Roux.
Sune is an OLL algorithm, which means it orients the last layer. It is part of a special subcategory called OCLL, which means that it only orients the corners (is used when all edges are oriented). It was proposed by Lars Petrus in his Petrus method.
This is, as the name implies, the reverse of sexy. It is less used, but is still quite prominent in F2L, where the triple sexy is frequently replaced with triple reverse sexy as it is said to be quicker. Either way, if repeated 6 times it will bring the cube back to its original state, as with most 6 move triggers.
This is a PLL (Position Last Layer) algorithm. There are 2 variants, the Ua and Ub perms. They are used when all the corners are permuted and there are 3 edges to permute in a triangular fashion. Doing either one 3 times will bring the cube back to its original state and executing either one once will make the case that the other one solves.
The T perm is perhaps the most well-known PLL algorithm, with its only competition being the U perms (above) and the J perms (below). It is used to permute 2 opposite edges and two adjacent corners, and the shape of those pieces to permute when viewed from above makes a T, hence the name.
This OLL is probably one of the most famous out of all the full algorithms. It is 6 moves long, and the other T shaped algorithm in addition to Key, above. The main body of the algorithm is the sexy trigger.
This permutation is a PLL algorithm. It switches two sets of adjacent edges. All the corners are already solved when this algorithm is used. It is used in every method that forces an EPLL (a PLL of only the edges, in other words, all corners are pre-solved) including Petrus.
Rubik's cube is among the most loved and popular puzzles. It might seem quite an intimidating challenge for some, but that does not need to be the case. If you have some trouble solving the Rubik's cube, don't give up just yet.
All you need are a few algorithms (that we will cover later in this article) and sheer determination to solve the cube. The easiest way to learn to solve a cube is to follow proven guides and tutorials.
In this beginner's guide, we will walk through the steps to solve the cube, with notations and descriptions of the algorithms that you would need to memorize. But before we jump right in, let's get familiar with the terms associated with the Rubik's cube.
Similar to the first step, solving the second layer also involves four pieces. However, instead of four corners, it now encompasses four edges. Therefore, you need to first search for the edges. Remember that the color of the piece that you are looking for should match the center. To position your pieces correctly, you must keep that face to your right, then see if it should be placed in front or at the back.
These algorithms will help you get the desired edges into their positions. You can repeat this algorithm until you get the desired edge colors placed in accordance with the color of the centerpiece. This will help you finish solving the second layer.
Match the colors to the face they belong to, and keep this solved face to your left. What you will then have on the face is an unsolved corner on which you should perform this T-Perm algorithm. You can repeat this algorithm until all the corner pieces are solved.
Once done, you need to look for two corner pieces that are adjacent to each other and are solved. Match those corner pieces with their centerpiece, position them towards your left, and perform the T-Perm algorithm.
Note: To execute this algorithm, find one edge piece that has been solved. Orient that with its centerpiece and hold it at the back. The three remaining edge pieces will have to be rotated on the top layer. You will notice that the pieces need to be moved in a clockwise Or counterclockwise manner. Execute this U-Perm to complete solving the remaining pieces. You may need to apply it twice in some of the cases.
And there you have it! There is no denying that you might need to invest a considerable amount of time to get the hang of it. However, master this beginner's method before you move on to learning any advanced methods. This beginner's method will create a great foundation for you to understand the working of the cube and the seamless movements of your fingers. Thereafter you can move on to learning finger tricks that will help reduce your average time.
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I am learning to solve a Rubik's cube using some algorithms (I don't completely understand why they work). I had a Rubik's cube when I was little and I remember solving it 2-3 times without using any algorithms with 1-2 hours' work. Maybe it was sheer luck and some intuition. It seems very unlikely now. At that time I knew nothing about solution methods (solving layers, etc.).
An algorithm, in this context, refers to a sequence of steps that you do when solving the Rubik's cube to achieve a certain outcome. It refers to any repeated sequence. For instance, there's an algorithm for moving a corner to the first layer in the cross method. There's an algorithm for flipping edges over, there's an algorithm for... you name it, there's probably an algorithm for it.
These algorithms came about largely due to intuition first. People who developed their own solutions weren't thinking in algorithmic notation - they were thinking using intuition about where they wanted pieces to move. When you're "intuitively" solving a Rubik's cube, what you're really doing is making your own algorithms from scratch, which you execute repeatedly and grow familiar with.
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