GuideRubik's Cube

How to solve a 3×3 Rubik’s Cube: step by step

Solving the Rubik’s Cube involves a series of algorithms, each designed to address specific stages of the solving process. While the entire solving method is extensive, here is a condensed representation of a common algorithmic sequence for solving the Rubik’s Cube. Each letter represents a face turn:

  1. Cross on One Face (CFOP Method):
    • F (Front)
    • R (Right)
    • U (Upper)
    • L (Left)
    • D (Down)
    • B (Back)
  2. First Two Layers (F2L):
    • Specific algorithms to pair and insert corner and edge pieces in the first two layers.
  3. Orientation of the Last Layer (OLL):
    • Algorithms to orient the last layer pieces, ensuring they face the correct direction.
  4. Permutation of the Last Layer (PLL):
    • Algorithms to permute the last layer pieces, arranging them in their correct positions.

This condensed formula serves as a high-level representation, and each step involves multiple algorithms. Additionally, advanced solving methods may incorporate more sophisticated techniques and shortcuts for speedcubing. It’s essential to practice and memorize these algorithms to achieve proficiency in solving the Rubik’s Cube efficiently.

Learn how to solve a 3×3 Rubik’s Cube with a completely free walkthrough guide from KewbzUK.

  

NOTATION

When you see a ” U” by itself you must turn the TOP layer in either a clockwise or anti-clockwise rotation.
When you see a ” D” by itself you must turn the BOTTOM layer in either a clockwise or anti-clockwise rotation.
When you see a ” L” by itself you must turn the LEFT layer in either a clockwise or anti-clockwise rotation.
When you see a ” R” by itself you must turn the RIGHT layer in either a clockwise or anti-clockwise rotation.
When you see a ” F” by itself you must turn the  FRONT layer in either a clockwise or anti-clockwise rotation.
When you see a ” B” by itself you must turn the BACK layer in either a clockwise or anti-clockwise rotation.

STEP 1 – THE CROSS

We start by completing a cross on a chosen face, for this example I have chosen the White side. On your cube locate the white centre piece.

For each step we will take a look at different cases you may come across. The first step is very intuitive and there are not many cases that we can show you. You must not only complete the white cross on top but make sure the corresponding edge also fits into place.

 
Case 1F U’ R U
Case 2R’ U’ R U R’
Case 3L2 R2 U2 L2 R2

STEP 2 – THE WHITE CORNERS

Right, with the top cross solved we must now solve the whole top layer ( make sure you hold the white cross on the top for the remainder of this step ).  Locate any white corner piece and hold it beneath were it needs to go (for the example below we have used the WHITE , BLUE , RED corner piece (note we have placed it beneath the WHITE, BLUE and RED centre pieces).

Follow the cases below to complete the whole top layer.

Case 1F D F’
Case 2R’ D’ R
Case 3R’ D2 R D R’ D’ R
Case 4(R’ D’ R D) x 4
Case 5(R’ D’ R D) x 2

STEP 3 – THE SECOND LAYER

You should now have the whole top layer completed, to proceed we must complete the middle layer. There are only 4 edge pieces which must be solved in this step (if your lucky some of them may already be in the correct place).

First we should turn our cube over so that the Yellow centred piece is on top and the White face that we just completed is on the bottom. Let’s follow the cases below to complete this layer.

Case 1U’ L’ U L U F U’ F’
Case 2U R U’ R’ U’ F’ U F
Case 3(R U’ R’ F R’ F’ R U’) x 2

STEP 4A – THE YELLOW CROSS

In this step we will create a yellow cross on the top layer (like we did with the white cross in step 1, also making sure we match up the edge pieces). Once step 3 has been completed you will have one of 4 cases, the 4th case will be a completed yellow cross so we will show you the other 3 (below).

Depending on whichever case you have – hold the cube as shown and perform the algorithm to create a yellow cross on the top layer.

Case 1(F R U R’ U’ F’) then move to case 2
Case 2(F R U R’ U’ F’ U) then move to case 3
Case 3F R U R’ U’ F’

STEP 4B – FINISHING THE CROSS

Hold your puzzle as shown so that the yellow cross is on the top layer and the front edge piece is in the correct position along with the right hand edge piece also being in the correct position (as shown in the image).  This will leave the left hand edge piece and back edge piece to be swapped.

Note: If you cannot make the front and right edge pieces match then simply perform the algorithm from any face, then repeat Step 4b

Perform the algorithm [ F U F’ U F U2 F’ U] shown above the image to swap the (left & back) edge pieces.

F U F’ U F U2 F’ U


STEP 5 – PERMUTING THE CORNERS

In this step we will move all of the corners to their correct place (not necessarily in the correct rotation however). If all corners of your top layer are in the correct place then move on to step 6.

  1. Locate 1 corner that is already in the correct place (making sure not to twist any layers of your cube).
  2. Hold the corner piece in the front right hand corner as shown in the images below.

In all 3 images below the corner piece in the FRONTRIGHT corner on the top face is in the correct place (just rotated differently). The other 3 corner pieces are in the incorrect place.

                 
                 
                 

Perform the algorithm: ( U R U’ L’ U R’ U’ L) with the solved corner in the front right corner of the top face. This algorithm will cycle the other 3 corners in an anti-clockwise rotation.

This will leave you with a nearly solved Rubik’s Cube. All corners on the top layer will be in their correct places but just out of rotation (not all yellows are facing upwards).

Let’s move on to step 6 and fully solve our Rubik’s Cube.


STEP 6 – THE FINAL STEP

In this final step we will rotate the last few corners and solve our Rubik’s Cube completely. Hold your cube in any rotation and make sure the yellow cross is on the top layer. Let’s follow the bullet points below:

1. Hold your cube so that any incorrectly rotated corner piece is in the FRONTRIGHT hand corner of the top layer.

(You might have 4, 3 or 2 incorrectly rotated corners).

2. Perform the algorithm:

R’ D’ R D 

(Repeat this algorithm until the yellow is on the top face).

Note: Your cube might look scrambled at this point.

3. Simply rotate the top layer until the next corner to rotate is in the FRONTRIGHT hand corner of the top layer and repeat the algorithm again.

R’ D’ R D

Note: Remember to repeat this algorithm until the corner piece is in the correct rotation.

4. Simply keep repeating these steps until your cube is solved. Don’t forget that you may have to perform the R’D’ R D algorithm more than once on one corner.

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