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How to Solve a Rubik's Cube (Easy Move

Notation)originated by: NatK, Anonymous, Krystle, Mimi (see all)

The Rubik's Cube can be very frustrating and may seem next toimpossible to restore to its original configuration. However, once youknow a few algorithms, it is very easy to solve.

The method described in this article is the layer method: we first solveone face of the cube (first layer), then the middle layer, and finally thelast layer.

Familiarize yourself with the Notations.

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Choose one face to start with. In the examples that will follow, the color for the first layer is

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First Layer

1. Solve the cross : place in their correct position thefour edge pieces that contain white. You should beable to do this by yourself without needing algorithms.All four edge pieces can be placed in a maximum of 8moves (5 or 6 in general).

2. Place the cross at the bottom.

3. Solve the four corners of the first layer, one by one. At the end of this step, the firstlayer should be complete, with a solid color (in this case, white) at the bottom. You shouldalso be able to place the corners without needing algorithms. To get you started, here isan example of one corner being solved:

4. Your cube should now have the first layer complete and look like this (from the bottomside) :

Middle Layer

1. Place the four edges of the middle layer, one by one. Those edge pieces are the

ones that do not contain yellow in our example. You need to know only one algorithm tosolve the middle layer. The second algorithm is symmetrical to the first.

If the edge piece is located in the last layer :

(1.a)

(1.b)

symmetrical to (1.a)

If the edge piece is in the middle layerbut in the wrong place or with the wrongorientation, simply use the same algorithm to place any other edge piece in itsposition. Your edge piece will then be in the last layer, and you just have to usethe algorithm again to position it properly in the middle layer.

2. Your cube should now have the first two layers complete and look like this (from thebottom side) :

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5Last layer

1. Permute the corners. At this step, our goal is to place the corners of the last layer intheir correct position, regardless of their orientation.

1. Locate two adjacent corners that share a colorother than the color of the toplayer (other than yellow in our case).

2. Turn the top layer until these two corners are on thecorrect color side, facing you. For instance, if the twoadjacent corners both contain red, turn the top layer untilthose two corners are on the red side of the cube. Note thaton the other side, the two corners of the top layer will bothcontain the color of that side as well (orange in our example).

3. Determine whether the two corners of the front side are in their correctposition, and swap them if needed. In our example, the right side is green,and the left side is blue. Therefore the front corner on the right must contain

green, and the front corner on the left must contain blue. If it is not the case,you will need to swap those two corners with the following algorithm:

Swap 1 and 2 : (2.a)

4. Do the same with the two corners at the back. Turn the cube around to placethe other side (orange) in front of you. Swap the two front corners if needed.

5. As an alternative , if you notice that both the front pair and the back pair ofcorners need to be swapped, you can do it with only one algorithm (note thehuge similarity with the previous algorithm):

Swap 1 with 2 and 3 with 4 : (2.b)

2. Orient the corners. Locate each top color facelet of the corners (yellow in ourcase). You need to know only one algorithm to orient the corners :

(3.a)

The algorithm will rotate 3 corners on themselves at once (from the side to the top).The blue arrows show which 3 corners you are turning, and in which direction(clockwise). If the yellow stickers are the way shown on the pictures and you performthe algorithm once, you should end up with the four yellow stickers on top :

It is also convenient to use the symmetrical algorithm (here the red arrows arecounter-clockwise turns):
http://www.wikihow.com/Image:Rubik_LL_corners_complete3D_156.pnghttp://www.wikihow.com/Image:Rubik_LL_corners_complete_112.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:VRD_231.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:VRU_128.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:VRD_231.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:VRU_128.pnghttp://www.wikihow.com/Image:Rubik_LL_Corners_Orient12_951.pnghttp://www.wikihow.com/Image:Rubik_LL_Corners_Orient11_237.pnghttp://www.wikihow.com/Image:VLD_114.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:VLU_765.pnghttp://www.wikihow.com/Image:FCCW_690.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:FCW_465.pnghttp://www.wikihow.com/Image:VLD_114.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:VLU_765.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:VLD_114.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:VLU_765.pnghttp://www.wikihow.com/Image:FCCW_690.pnghttp://www.wikihow.com/Image:HUL_668.pnghttp://www.wikihow.com/Image:FCW_465.pnghttp://www.wikihow.com/Image:VLD_114.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:VLU_765.pnghttp://www.wikihow.com/Image:Rubik_LL_Corners_Permute_316.pnghttp://www.wikihow.com/Image:Rubik_F2Lcomplete_3_840.pnghttp://www.wikihow.com/Image:Rubik_F2Lcomplete_2_149.pnghttp://www.wikihow.com/Image:Rubik_F2Lcomplete_1_660.png


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(3.b)Symmetrical to (3.a)

Note : performing twice one of these algorithms is equivalent to performing the other.

In some cases, you will need to perform the algorithm more than once :

2 correctly oriented corners :

= = +

= = +

= = +

no correctly oriented corner :

= = +

= = +

Or more generally, apply (3.a) in those cases :

Two correctly oriented corners :

No correctly oriented corner :

3. Permute the edges. You will need to know only one algorithm for this step. Checkwhether one or several edges are already in the correct position (the orientation doesnot matter at this point).

If all the edges are in their correct positions, you are done for this step.

If one edge only is correctly positioned, use the following algorithm :
http://www.wikihow.com/Image:Rubik_LL_OC_0c_870.pnghttp://www.wikihow.com/Image:Rubik_LL_OC_2c_116.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_44_611.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_43_207.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_42_249.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_41_157.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_34_739.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_33_614.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_32_753.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_31_931.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_54_269.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_53_343.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_52_345.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_51_809.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_24_58.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_23_935.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_22_161.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_21_332.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_14_139.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_13_185.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_12_123.pnghttp://www.wikihow.com/Image:Rubik_LL_CO_11_540.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:VLD_114.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:VLU_765.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:VLD_114.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:VLU_765.pnghttp://www.wikihow.com/Image:Rubik_LL_Corners_Orient22_925.pnghttp://www.wikihow.com/Image:Rubik_LL_Corners_Orient21_209.png


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6

(4.a)

or its symmetrical :

(4.b)Symmetrical to (4.a)

Note : performing twice one of these algorithms is equivalent to performing theother.

If all four edges are incorrectly positioned, perform one of the twoalgorithms once from any side. You will then have only one edge correctlypositioned.

4. Orient the edges. You will need to know two algorithms for that last step :

Dedmore "H" Pattern

(5)

Dedmore "Fish" Pattern

(6)

Note the DOWN, LEFT, UP, RIGHT, sequence to most of the Dedmore "H" and"Fish" algorithms.

Note you really have only one algorithm to remember since :

(6) = + (5) +

If all four edges are flipped, perform the "H" pattern algorithm from any side, andyou will have to perform that algorithm one more time to solve the cube.

Congratulations! Your cube should now be solved.

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Know the colors of your cube. You must know which color is opposite which, and the order of thecolors around each face. For instance, if white is on top and red in front, then you must know thatblue is on the right, orange in the back, green on the left and yellow at the bottom.

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For the color to start with, you can either always start with the same color to help you with knowingwhere each color goes, or try to be efficient by choosing a color for which it is easier to solve thecross.

Practice! Spend some time with your cube to learn how to move pieces around. This is especiallyimportant when you are learning to solve the first layer.

To solve the cross efficiently, first locate all four edges and try to think ahead about how to movethem into position without actually doing it. With practice and experience, this will teach you ways tosolve it in fewer moves. And in a competition, participants are given 15 seconds to inspect their cubebefore the timer starts.

Try to figure out how the algorithms work. While executing the algorithm, try to follow key piecesaround to see where they go. Try to find pattern in the algorithms. For instance :

In the algorithms (2.a) and (2.b) used to permute corners of the last/top layer, you execute 4moves (at the end of which all first/bottom layer and middle layer cubies are back in thefirst/bottom and middle layers), then turn the upper layer, and then execute the reverse of the firstfour moves. therefore this algorithm does not affect the first/bottom and middle layers.

For the algorithms (4.a) and (4.b), note you are turning the top layer in the same direction thatyou need to turn the three edges.

For the algorithm (5), Dedmore "H" Pattern, a way to remember the algorithm is to follow thepath of the flipped edge on the top right and the pair of corners around it for the first half of thealgorithm. And then for the other half of the algorithm, follow the other flipped edge and pair ofcorners. You'll notice that you perform 5 moves (7 moves if counting half turns as 2 moves), thenhalf turn the top layer, then reverse those first five moves, and finally half turn the top layer again.

Progress further. Once you know all the algorithms, you may want to find faster ways to solve theRubik's:

Solve the first layer corner along with its middle layer edge in one move.

Learn algorithms to orient the last layer corners in the five cases where two (3.a/b) algorithms arenecessary.

Learn algorithms to permute the last layer edges in the two cases where no edge is correctlypositioned.

Learn the algorithm for the case where all last layer edges are flipped.

Progress even further. For the last layer, if you want to solve the cube fast, you will need to do thelast four steps two by two. For instance, permute and orient the corners in one step, then permuteand orient the edges in one step. Or you can choose to orient all corners and edges in one step, thenpermute all corners and edges in one step.

The layer method is just one of many methods out there. For instance, the Petrus method, whichsolves the cube in fewer moves, consists in building a 222 block, then expanding it to a 223,correcting edge orientation, building a 233 (two layers solved), positioning the remaining corners,orienting those corners, and finally positioning the remaining edges.

For those interested in speed cubing , or those who simply don't like how hard it is to turn pieces, itis a good idea to buy a DIY kit. The pieces ofspeedcubes have rounder inner corners and DIY kitsallow you to adjust the tension, making it a lot easier to move pieces. Consider also lubricating your

cube with a silicon based lubricant.

The pieces that compose the Rubik's Cube are called Cubies, and the color stickers on theCubies are called Facelets. There are three types of Cubies :

the centers (or center pieces), at the center of each face of the Cube. There are 6 of them, eachhave 1 Facelet.

the corners (or corner pieces), at the corners of the Cube. There are 8 of them, and each have 3Facelets.

the edges (or edge pieces), between each pair of adjacent corners. There are 12 of them and

[1]

[2]

[3]

Notations
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3D View

algorithm(3.a)

Top View

ShowingYellow Facelets

ShowingIncorrectlyOriented Edges

each have 2 Facelets.

Not all cubes have the same color schemes. The cube used for the illustrations is such that :

White opposes yellow;

Blue opposes green;

Orange opposes red;

Color scheme is BOY (because the Blue, Orange and Yellow faces are in clockwise order).

This article uses two different views for the Cube :

The 3D View, showing three sides of the Cube : The front (red), the top(yellow) and the right side (green). In step 4, the algorithm (1.b) is

illustrated with a picture showing the left side of the cube (blue), the front(red) and top (yellow).

The Top View, showing only the top of the cube (yellow). The front side is atthe bottom (red).

For the top view, each bar indicates on which side the important facelet islocated. On the picture, the yellow facelets of the top back corners are on the top(yellow) side, while the yellow facelets of the top front corners are both located onthe front side of the cube.

When a facelet is grey, it means that its color is not important for the situation considered.

The arrows (blue or red), show what the algorithm will do. In the case of thealgorithm (3.a) for instance, it will rotate the three corners on themselves asshown. If the yellow facelets are as drawn on the picture, at the end of thealgorithm they will be on top.

The axis of the rotation is the big diagonal of the cube (from one corner to the corner all theway on the other side of the cube).

Blue arrows are used for clockwise turns (algorithm (3.a)).

Red arrows are used for counter-clockwise turns (algorithm (3.b), symmetrical to (3.a)).

For the top view, the light blue facelets indicate that an edge is incorrectlyoriented. On the picture, the edges on the left and right are both incorrectlyoriented. Which means that if the top face is yellow, the yellow facelets for thosetwo edges are not on the top, but on the side.

For the move notations, it is important to always look at the cube from the frontside.

: Rotation of the front side.

: Rotation of one of the three vertical rows.

: Rotation of one of the three horizontal rows.
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A few examples of moves :

START

How to Solve a Rubik's Cube with the Layer Method

How to How to Solve a 2X2X2 Rubik's Cube

How to Solve a Rubik's Cube Using Commutators

How to Make the "H" Pattern on a Rubik's Cube

How to Make Awesome Rubik's Cube Patterns

How to Make a Speedcube

Speedcubing.com - algorithms, videos, cube solvers, world records and ranking.

Beginner Solution to the Rubik's Cube .

Solving the cross tips and examples.

Solution for solving the Rubik's Cube step by step illustrated method.

Petrus Method illustrated with java animations.

1. http://www.speedcubing.com/f2l.html (Algorithms > First two layers)

2. http://www.speedcubing.com/finallayer.html (Algorithms > Final layer)

3. http://lar5.com/cube/

Video

Related wikiHows

Sources and Citations
http://www.wikihow.com/Image:Rubik_after_HUR_368.pnghttp://www.wikihow.com/Image:Rubik_after_VRD_341.pnghttp://www.wikihow.com/Image:Rubik_after_VMU_719.pnghttp://www.wikihow.com/Image:Rubik_after_FCW_53.pnghttp://www.wikihow.com/Image:Rubik_Initial_537.pnghttp://www.wikihow.com/Image:HUR_929.pnghttp://www.wikihow.com/Image:VRD_231.pnghttp://www.wikihow.com/Image:VMU_830.pnghttp://www.wikihow.com/Image:FCW_465.pnghttp://lar5.com/cube/http://www.wikihow.com/Solve-a-Rubik's-Cube-(Easy-Move-Notation)#_ref-2http://www.speedcubing.com/finallayer.htmlhttp://www.wikihow.com/Solve-a-Rubik's-Cube-(Easy-Move-Notation)#_ref-1http://www.speedcubing.com/f2l.htmlhttp://www.wikihow.com/Solve-a-Rubik's-Cube-(Easy-Move-Notation)#_ref-0http://lar5.com/cube/index.htmlhttp://www.alchemistmatt.com/cube/Denny3x3/index.htmhttp://www.cubestation.co.uk/cs2/index.php?page=3x3x3/cfop/cross/crosshttp://peter.stillhq.com/jasmine/rubikscubesolution.htmlhttp://www.speedcubing.com/http://www.wikihow.com/Make-a-Speedcubehttp://www.wikihow.com/Make-Awesome-Rubik%27s-Cube-Patternshttp://www.wikihow.com/Make-the-%22H%22-Pattern-on-a-Rubik%27s-Cubehttp://www.wikihow.com/Solve-a-Rubik%27s-Cube-Using-Commutatorshttp://www.wikihow.com/Solve-a-2X2X2-Rubik%27s-Cubehttp://www.wikihow.com/Solve-a-Rubik%27s-Cube-with-the-Layer-Method


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