These high quality blindfolds are both compact and comfortable. wear during blindfolded activities, particularly blindfolded cube solving. The first very important step with this Rubik’s cube blindfolded method is to find a code for each pair of. Blindfold Cubing. Dr. Richard Carr. February 23, The following is an introduction to blindfold cubing. It does not always show the most efficient methods.

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Also see these advanced techniques for this blindfold solving method. Solving a Rubik’s Cube blindfolded is much easier than you think.

Cubers with only a very basic sighted method say one minute have learned it in less than a week, and one person has even learned the method having never solved a cube with his eyes open. Unlike an advanced speedcubing method such as the Fridrich Method, even blindfolded methods used by the world’s best require relatively little memorization and rely on a few basic concepts.

All you need to master blindfold cubing are an average memory and determination. As one of the first blindfold cubers to compete officially, I set multiple world records in and and placed second at the World Championship in Until3OP was the method of choice among the world’s fastest blindfold cubers.

What’s more, 3OP can be readily applied to many other twisty puzzles. This guide provides a detailed explanation of 3OP as used by many top blindfold cubers throughincluding myself. Although the method is simple enough to be learned in as fast as a few days, 3OP is good enough for times as fast as 1 minute and 30 seconds including memorization. Acknowledgements This guide has been around since Special thanks are due to Sunil Pedapudi for his encouragement; to Stefan Pochmann and Richard Carr for their valuable comments on early drafts; and to Leyan Lo and Lucas Garron for their algorithms.

The Rules of the Game In blindfold cubing, the solver first inspects the puzzle to memorize it, without making any moves, before solving it without any aid of vision. The solver can do this by wearing an actual blindfold, as done in official competitions, by blocking the vision with a desk, by solving behind the back, or simply by closing eir eyes.

In normal blindfold solving, both memorization and resolution are timed. The entire sequence is as follows:. Memorization phase 3 Solver blocks his vision.

Resolution phase 5 Solver signals that he has finished solving by stopping the timer. There is a second type of blindfold cubing, called “speed blindfold cubing,” that only times the resolution. Classification of Methods The most basic classification of the various blindfold solving methods is by the way in which permutation is solved: Richard Carr’s piece-by-piece method belongs in first category, while all modern methods, including 3OP, use cycles explained later in this guide.

Whatever the method, blindfolded solving is very different from normal cubing. While sighted methods aim for fewer moves and affect many pieces at each step, blindfolded methods use a limited number of basic algorithms that move very few pieces.

This makes it possible to keep track of the state of the puzzle while blindfolded. In cycle methods, the solver memorizes the necessary operations left rather than the puzzle’s state. As a result, the amount needed to be memorized decreases until there is nothing to remember at all, at which point the puzzle is solved.

Since a Rubik’s Cube has 20 cubies, all the necessary information can be memorized as 40 numbers.

The actual memory burden can be signifacantly eased by memorizing visually and is comparable to two digit phone numbers. Bkindfold piece is first oriented flipped or rotated in place, meaning without changing the permutation. Then, each piece is permuted moved to its correct spot, now without disturbing the already-corrected orientation. Each of the four parts is solved independently, except possibly to correct the permutation parity involving two corners and two edges.

Each step is in turn divided into smaller tasks–in CP and EP, into cycles–each of which is handled by judiciously applying an algorithm. Because everything can be broken into a small number of tasks, 3OP requires only a handful of algorithms. This guide goes through the four steps and permutation parity in the order they are solved.

## Rubik’s cube Blindfolded solving : The Pochmann method

But first, we need some preparation. Pick an orientation of the cube a top color and a front color that you are comfortable with. Every scrambled cube will be memorized by first placing it into this orientation. In the table to the left, corners have been labeled 1 through 8 and edges 1 through 12; for ease of explanation, this labeling will be used throughout this guide.

In practice, you may use other numbering schemes, letters, or images, or pure visual memory. Should you choose to use a labeling scheme, associate each label with the location and colors of that cubie. Go through each piece of a scrambled cube, numbering or labeling it appropriately and pointing to where it belongs, until you can do this without hesitation. Orientation of a cubie is its flip or twist. For each piece, we pre-define a “correct orientation. Unlike in permutation, edge and corners are completely independent for orientation.

We can therefore choose to start with either edges or corners. There are twelve edge pieces on a Rubik’s Cube. Since each edge has two stickers, it can be twisted in two ways: The other orientations are “incorrect. If the facelet colors match with the centers, the edge is correctly oriented. In official attempts we cannot make any moves during memorization.

Either one will work as long as the set-up moves for edge permutation also follow the same restriction. Since many of the edge permutation algorithms use only R and U, we sometimes get some cancellation with the set-up moves.

Although these rules can be stated more concisely, this best approximates the way many cubers actually go about determining the edge orientation of each piece. Once we know how to determine the orientation, this is the easiest step in the 3-cycle method. We memorize which edges are incorrectly oriented. It can be shown using some basic group theory that any solvable configuration of the cube has an even number of incorrectly oriented edges.

We can therefore proceed by flipping two of these edges at a time, which automatically corrects the orientation, with the following:. Although by itself the algorithm above can only flip edges 1 and 3, through conjugationwe can use it to flip any two edges.

In conjugation, we start with some known sequence X–in our case, the algorithm above. For more information on using conjugation to solve puzzles, see Jaap’s Puzzle Page. We demonstrate this with an example. Suppose we want to flip edges 8 and Since conjugation and set-up moves will be used in every step of the 3-cycle, make sure that you understand these concepts.

For orientation, both edges and corners, there is no restriction on the set-up moves. As we will see, however, set-up moves for the permutation steps must satisfy some conditions to make sure that the main algorithm, X, does not disturb the already-corrected orientation. If there are more than two incorrectly oriented edges, we need to use the algorithm above, conjugated appropriately, more than once.

If your goal is simply to have a successful blindfold solve, this works perfectly fine. To improve your time, however, you need to use additional algorithms that flip more than two edges at a time:. Algorithms 1 2 3 4: There blindcold also an algorithm that flips all twelve edges called super-flip.

Because of its length, however, it is not particularly useful unless we have ten or more incorrectly oriented edges. The other algorithms, although more efficient, often require clever set-up moves. Memorize which edges are incorrectly oriented. Flip the incorrectly oriented edges in groups of even numbers using the appropriate algorithms and set-up moves. Corner orientation blinndfold slightly trickier because there are three possible orientations for each corner: What follows is a method based on commutators, which requires minimal memorization.

A faster and more advanced algorithm-based approach can be found here. The remaining incorrectly oriented corners, if any, must all have the same direction, and by the assertion above, these can always be grouped into cw-triples or ccw-triples.

A’ is the inverse of A. Note that A rotates corner 2 ccw and leaves all other U layer pieces intact. A’ has a similar effect but twists 2 cw. In particular, we set X to be A and Y to be some number of U turns. The following examples demonstrate the effect of such a commutator:. U’ brings the ccw corner to position 2, and A rotates this corner.

U then brings the cw corner to position 2, which is rotated by A’. There is no final U turn needed since the first corner is already back in its original position.

Whatever destruction A causes to the bottom two layers is reversed by A’ so that the net effect is to rotate just blinndfold corners.

### Cubefreak | A 3-Cycle Guide to 3x3x3 Blindfold Cubing Version

U2 then brings the cw corner to position 2, which is rotated by A’. The final U’ brings the first corner to its original position. It is not necessary to always start with the ccw corner; we can rotate the cw corner first by using A’ first.

In practice, it is much easier to perform A and A’ after tilting the cube with z’. Be sure, however, to perform z at the end of the commutator. For example, to rotate 1 ccw and 8 cw, we can set up with B’U’ and rotate 2 ccw and 1 cw: Like in edge orientation, there is no restriction on the set-up moves. Alternatively, since 1 and 8 are already in L layer, we can also solve this with a commutator for that layer: Note the addition of the final D or D’. U’ brings corner 1 to position 2, which is rotated by C.

U brings the next corner to position 2, which is rotated by C.

We repeat this for the third corner, and the final U’ brings the first corner back to its original position.