 The puzzle Rubik’s cube is designed to practice your memory and thinking. It’s becoming more and more popular every year. Except the standard cube 3×3, another types of the puzzle are being developed: 2×2, 5×5, 7×7. They are of different shapes: round, tetrahedron, hexagon, pyramid.

The hardest part of the cube’s solving is to understand where you should start. It all depends on the sequence, which help you to understand how quickly you will solve a Rubik’s cube.

We’ll tell you how to solve a Rubik’s cube 4×4 step by step in this article. Learning the scheme, you can easily solve the puzzle of the high difficulty.

1

## Basic notions

You should keep the cube in front of you when you are solving it not to confound the sides. The cube 4×4 has:

1. Central elements.
2.  Corners.
3. Edges.
4. Upper and lower facets.
5. Frontal facet (the one you look at).
6. Left and right facets.

There are more facets here, that’s why the notations are slightly modified. The facets, which are near the corners, are denoted by capital latin letters. Those facets which are inside, are denoted by small symbols.

• There are two left and two right layers on the frontal facet. (L, l, r, R). • There are back and frontal layers on the upper and lower facets (B, b, F, f). • There are upper and lower layers on the left and right facets (U, u, D, d). Very important!
The letter without an apostrophe means turn in a clockwise.
The apostrophe which is near the layer notation (for example, L’) means that you should turn the left layer on a quarter counterclockwise.
If the letters stand together without a comma, the layers should be rotated simultaneously.
The numbers indicate how many times you should turn a particular facet.

2

## Centers' solving

You should solve each center at the first stage, without breaking the previous one. It’s important to achieve the correct location of the needed colors when turning the inner layers. You should rotate only the outer facets after that in order not to break the centres. First, use the combination: r, f’, r’, F, r, f, r. Next you should apply the formula for the outer facets rotation: Rr, U, Rr’, U, Rr, U2, Rr’, U2.

Sometimes, when you are doing the combinations, the cubes don’t take their places. In this case, the formulas are being applied until the elements will be solved.

3

## First stage of the edges solving

You need to solve the paired cube’s elements, which are opposite to the centers. You can break the centers at this stage. They will be solved in the end if the sequence was correct.

Place identical cubes opposite to each other. To do this, position the elements in such a way to make them come together, when you are rotating the outer edges. Use the formula:

1. Ll’, U’, R, U, Rr or Rr, U, L2, U’ Rr’.

2. Rr, U’, R, U, R’, F, R’, F’, Rr’.

3. Rr, U’, R, U, R’, F, R’, F’, Rr.

4. Dd, R, F’, U, R’, F, Dd’.

5. U, F’, L, F’, L’, F, U’. Click on this link to remember how to decode the formula.

4

## Parities

You can solve a Rubik’s cube 4×4 in the same way as to solve a Rubik’s cube 3×3 after these stages. But there are three situations sometimes when the cube’s 3×3 formulas can’t be applied. These are so-called parities. You should apply these combinations to solve them:

1. R, U’, l’, U2, l’, U2, l’, U2, l’, U, R’, U, l, U’, R, U, l, U’, R’, U, l2, U (1).

2. L2, d, R2, d, R2, d’, L2, u’, B2, u2, B2, u’, B2, R2, B, r’, B’, R2, B, r, B (2).

3. R’, F’, U, F, R, B, U2, F’, U, B’, U’, F, f, D’, f, D, f’, D’, f’, U2, f, D, f, D’, f’, D, f2, r, f, r, U2, r, f’, r’, f, F’, U’, F2, D, R, U, R’, D’, U’, F2, U2, F, U (3). You can go to another stage when the edges and the centers will be solved.

5

## Cross solving

You should find a pair of cubes on the edge and combine them with the cubes of the same color from the center. You should get the right cross. To do this, apply the following formula:

1. R’ D’ R F2.

2. F2 D2 B2.

3. F U’ R U. You can apply the combinations sequentially.

6

## Corners

You should start from the upper facet. You should place one of the corner cubes at the bottom, using the so-called formula PIF-PAF: R U R’ U’. It’s used the most often at this stage. There can be 6 possible situations during the cube’s solving. You need to apply a special formula then:

• The corner is at the top and the white cube looks to the left – F’ U’ F (1).
• The corner is in the upper layer, the white cube looks to the right. Apply a combination R U R’ (2).
• The corner is at the top and the white cube looks at the top – R U R’ U three times (3). • The corner is in the lower layer and the white cube looks to the left – R U’ R2 F R F’ (4).
• The corner is at the bottom and the white cube looks to the right – R U R’ U’ R U R’ U’ (5).
• The corner is in the lower opposite layer. You should move it into your layer (6), using the formula R U R’. 7

## Second stage of the edges solving

You should find 4 edges and put them between centers.

To do this, choose the color in the upper layer which you will solve the first. Rotate the upper facet until the colors match.

There can be 4 situations when you are solving the cube where you should apply the following formula:

Algorithm to the left – U’ L’ U L F’ L F L’.
Algorithm to the right – U R U’ R’ F R’ F’ R. • Parity – U R U’ R’ F R’ F’ R U2 U R U’ R’ F R’ F’ R.
• Stopper – U R U’ R’ F R’ F’ R. There can be the first or the second situation as a result, where you should use the appropriate formula. 8

## Upper side's solving

You should start with the cross at this stage, which is being solved by using the formulas:

1. F R U R’ U’ F’.

2. F U R U’ R’ F’.

If there is only one cube of a needed color in the upper part, apply the first combination at first, then use the second one. Then use the following combinations to make the side completely solved.

1. R U R’ U R U2 R’.

2. R U2 R’ U’ R U’ R’. You should apply the formulas for 2-3 times, alternating them with each other until the layer will be solved.

9

## Upper corners and edges

Put any corner in the upper part in its place by using U, U’ and U2 moves. It must match the two colours in the lower layers (e.g., the lower left edge matches green, and the lower right one matches white). There can be situations where you should apply the following combinations:

• R2 D2 R U R’ D2 R U’ R.
• R’ U R’ D2 R U’ R’ D2 R2. Using these formulas, you will return the cubes into their places. If the corner is on a wrong facet, you should rotate the upper layer until the corner will take the right place.

The edges are being solved by using a PIF-PAF formula. There can also be the situations when we need the certain combinations:

1. R U’ R U R U R U’ R’ U’ R2.

2. R U’ R U R U R U’ R’ U’ R2 R U’ R U R U R U’ R’ U’ R2. 1. R U’ R U R U R U’ R’ U’ R2 U’ R U’ R U R U R U’ R’ U’ R2.

2. R U’ R U R U R U’ R’ U’ R2 U R U’ R U R U R U’ R’ U’ R2. The cube is solved. If you have a good memory, you can learn the solving’s scheme and try to solve the cube on speed.

We recommend to watch a video if you are a beginner to make it easier for you to solve the cube.

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