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How To Solve A 3x3x3 Rubiks Cube - Standard Cube

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By StefanMDP


Continuing with this series of tutorials, we will see now How To Solve A 3x3x3 Rubiks Cube.

To learn how to solve a 3x3x3 Rubiks Cube it's not more difficult than to learn how to solve a 2x2x2 Rubiks Cube.

In this tutorial you will find all the necessary information to solve the Standard Cube.

However it's advisable to read how to solve the Junior Cube firt, since the techniques applied to the resolution of the Junior Cube will be of great help to solve the Standard Cube.

All the learned movements for the resolution of the Junior Cube will be used in the resolution of the Standard Cube and a few more will be added, achieving in this way a gradual learning curve.

If you have followed the steps of How To Solve A 2x2x2 Rubiks Cube, the practice will be useful.


How to solve a 3x3x3 Rubiks Cube
How to solve a 3x3x3 Rubiks Cube
 
 
 

How to solve a 3x3x3 Rubiks Cube

In order to understand How To Solve A 3x3x3 Rubiks Cube, you need to be familiar with the notation. If you don't know it, please read 'How to solve a Rubiks Cube' before continuing.

First a description of the algorithm will be shown, and then the movements.

For the purposes of the following tutorial, a series of colors will be chosen for the faces, you can choose others.

Keep in mind that the color of the Centre Piece determines the colour of the Face.


Pieces and Layers

  • Corner .. - a physical corner piece. Has three sides. There are eight corners.
  • Edge .... - a physical edge piece. Has two sides. There are twelve edges.
  • Face ..... - one of the sides of the cube.
  • Layer .... - the cube consists of three layers (Top/Middle/Bottom).
 
 

How To Solve A 3x3x3 Rubiks Cube - Description Of The Algorithm

The algorithm is divided in seven steps. In each step a series of moves are executed to solve a cubie. The series repeats (non resolved cubies) until completing the step.

(For a better understanding of the description, the black stickers represents an irrelevant color for that move.)


Step 1, Bottom Layer Edges

The first stept is to make a Cross on the Bottom layer.

Making sure the second color on each edge piece matches the color of the center cubie on each side face.


Step 2, Bottom Layer Corners

Place the corner pieces in position on the Bottom layer.

When all the corners are in position, the Bottom layer is solved.


Step 3, Middle Layer Edges

Place the edge pieces in position on the Middle layer.

When all the edges are in position, the Middle layer is solved.

At this point, the Bottom Layer and the Middle Layer are complete, this is known as F2L (First 2 Layers)


Step 4, Last Layer Edges

The first step towards solving the Last Layer, is to make a Cross on the Top Face, without caring about the other colors around the side.


Step 5, Permute The Top Layer Edges

If the edge pieces are not in their solved positions, the next step is to position the edge pieces correctly.


Step 6, Orient The Top Layer Corners

Place the corner pieces in position on the Top layer, without caring about the other colors around the side.


Step 7, Permute The Top Layer Corners

If the corners are not in their solved positions, the next step is to position the corners correctly.

Congratulations! You have solved the cube.


 
 

How To Solve A 3x3x3 Rubiks Cube - Algorithm

Now that you understood the method, it is time to put in practice.

Step 1, Bottom Layer Edges

Choose a color for the Down Face and a color for the Front Face: (let's take Yellow and Red)

Find in the Top Layer the Edge Piece of both colors.

There are two possible states: The Down color (Yellow) is on the Upper Face, The Down color (Yellow) is around the edges (turn the Top Layer if necessary).

Use one of the following procedures to solve the cubie:

Down Face color on the Upper Face

U - F2
U - F2

Down Face color around the edges

R' - F - R
R' - F - R

The move [R] restores an Edge Piece that may have been removed of its place.

If the Edge Piece is in the Middle Layer or in the Bottom Layer but not solved, move it up to the Top Layer.

Edge Piece in the Middle Layer

R - U - R' - F2
R - U - R' - F2

The move [R'] restores an Edge Piece that may have been removed of its place.

Edge Piece in the Bottom Layer

R2 - U - F2
R2 - U - F2

Choose another color for the Front Face and repeat the procedure until completing the cross on the Bottom Face.

Step 2, Bottom Layer Corners

Find in the Top Layer a Corner Piece with the color of the Down Face (Yellow).

Look at the other two colors of the piece (Red and Blue, for example), place the Corner Piece (turn the Top Layer) inbetween the two Center Pieces of the same colors.

There are three possible states:

Down Face color on Front Face

F' - U' - F
F' - U' - F

Down Face color on Right Face

R - U - R'
R - U - R'

Down Face color on Upper Face

R - U2 - R' - U' - R - U - R'
R - U2 - R' - U' - R - U - R'

If the Corner Piece is in the Bottom Layer, move it up to the Top Layer and use the above procedure.

Corner Piece in the Bottom Layer

R - U - R' - U'
R - U - R' - U'

Step 3, Middle Layer Edges

Find in the Top Layer an Edge Piece which do not have the color of the Upper Face (White), if not see below edges trapped.

Choose a color for the Front Face (Red), turn the Top Layer to match the color of the Edge Piece with the same color of the Centre Piece.

There are two possible states:

Edge Piece to the Right

U - R - U' - R' - F - R' - F' - R
U - R - U' - R' - F - R' - F' - R

Edge Piece to the Left

U' - L' - U - L - F' - L - F - L'
U' - L' - U - L - F' - L - F - L'

In case of edges trapped, execute one of the procedures above to replace the trapped edge with a random edge from the Top Layer and use the above procedure.

Step 4, Last Layer Edges

There are three possible states: the Dot, the Line, the L.

The Line

F - R - U - R' - U' - F'
F - R - U - R' - U' - F'

The L

F - U - R - U' - R' - F'
F - U - R - U' - R' - F'

The Dot

F - R - U - R' - U' - F' - U2 - F - U - R - U' - R' - F'
F - R - U - R' - U' - F' - U2 - F - U - R - U' - R' - F'

Identify the state and apply some of the above procedures until the cross is formed.

Step 5, Permute the Top Layer Edges

If turning the Top Layer the color of the Edge Pieces match the color of the Centre Pieces, go to the following step, is this is not the case, try to align the Top Layer so that only one Edge Piece is solved (if not, see below).

There are two possible states:

Permute Three Edges Counter-Clockwise

R - U - R' - U - R - U2 - R'
R - U - R' - U - R - U2 - R'

Permute Three Edges Clockwise

R - U2 - R' - U' - R - U' - R'
R - U2 - R' - U' - R - U' - R'

If it not be possible to position the Top Layer so that only one edge is solved, execute one of the procedures above to get one Edge Piece on Top and then proceed the same as before.

Step 6, Orient the Top Layer Corners

A Corner Piece which needs to be oriented is one which does not have the Upper Face color (White).

Identify the corners that need to be oriented, it is possible to have to twist 2, 3, or 4 Corner Pieces.

Turn the Top Layer so that the Corner Piece which needs to be oriented is at the Back-Right.

There are two possible states: Upper Face color (White) on the Right Face or Upper Face color (White) on the Back Face.

Upper Face color on the Right Face

R - D - R' - D' - R - D - R' - D'
R - D - R' - D' - R - D - R' - D'

Upper Face color on the Back Face

D - R - D' - R' - D - R - D' - R'
D - R - D' - R' - D - R - D' - R'

After orienting the first Corner Piece the First Two Layers are scrambled.

DON'T ROTATE THE CUBE, MAINTAIN THE FRONT FACE.

Turn the Top Layer so that the next Corner Piece which needs to be oriented is at the Back-Right and then proceed the same as before.

Once you have twisted all the corners the First Two Layers will have restored itself.

Step 7, Permute the Top Layer Corners

Turn the Top Layer so that a Corner Piece is located in its solved position (if not, see below).

Turn the cube in your hands so that you hold it with the solved corner at the Front-Left position.

There are two possible states:

Permute Three Corners Counter-Clockwise

R2 - B2 - R - F - R' - B2 - R - F' - R
R2 - B2 - R - F - R' - B2 - R - F' - R

Permute Three Corners Clockwise

R' - F - R' - B2 - R - F' - R' - B2 - R2
R' - F - R' - B2 - R - F' - R' - B2 - R2

If it not be possible to locate a Corner Piece in its solved position, execute one of the above procedures to get one.

Now you know How To Solve A 3x3x3 Rubiks Cube.


 
 
 
 
 
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        Acknowledgement : Table Of Contents by Darkside
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Comments

RSS for comments on this Hub

Nathan  says:
10 months ago

It might just be me messing up but in some pictures I think you have the arrow pointing the wrong direction!You down and down reverse arrows are backwards! ...I think...

StefanMDP profile image

StefanMDP  says:
10 months ago

Hi Nathan!

The images are made seeing always the Front Face. When you make a turn, try to imagine a clock on the face.

For the Down Face the clock points down. You will see this way that the arrows are correct.

Still confused? Tell me.

Nathan  says:
10 months ago

Oh I see now, I imanged the clock was always on the front face. Thanks.

thx bro  says:
8 months ago

thx bro

i love britney spears and m.j.  says:
7 months ago

this is sooooo freakin amazing and soo cool!!!!!!!!!!!!!!!!!!!!!1

notorious_HAI profile image

notorious_HAI  says:
6 months ago

I wasn't sure what to do this weekend because it's cold and raining in Adelaide. Now I have something to do....

horuixiang  says:
5 months ago

is nice to play

Joel  says:
4 months ago

I feel a little mixed up because the algorithm is inverted from the one I learned as a kid in grade school. I used to do this puzzle in no time.

StefanMDP profile image

StefanMDP  says:
4 months ago

Hi Joel

Thanks for stopping by.

There are several algorithms to solve the cube. Here I am presenting one of the simplest for beginners, certainly it is not the quickest.

But You know, the important thing is the satisfaction of being able to solve it, isn't it?

jonty  says:
4 months ago

Very well written hub .....

very much informative ......

Thank you very much for your great hub, for good advice, good wishes and support. Thanks for sharing your experience with all of us.

Mike  says:
3 months ago

Do you have an algorithm guide for solving the bottom corners with the middle edges at the same time?

StefanMDP profile image

StefanMDP  says:
3 months ago

Hi Mike, Thanks for stopping by.

No, sorry, only this tutorial for beginners.

Sexy jonty profile image

Sexy jonty  says:
3 months ago

nice solve trick .....

C. N.  says:
2 months ago

There is something strange on step 7, "Permute the top layer corners":

Shouldn't that B2 be B2'? The arrow (and the movement) are counterclock wise.

StefanMDP profile image

StefanMDP  says:
2 months ago

Hi C.N.

You are right, according to the arrow it should be B2'.

Anyway, the result of the steps is correct since B2 and B2' is the same movement.

Thanks for noting it, I will correct the images.

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