3 x 3 x 3 BlindFold - M2R2 Method

How To Solve A  3 x 3 x 3 BlindFold using M2R2 Method

         There are many methods to solve a Rubiks cube blindfold (without seeing the cube) . But amongst those methods I prefer to follow this M2R2 Method by which i feel more convinient . I will also help you get to the other methods with I know . As I said before , the postion of the cube , how you hold the cube in your hand is much more important before starting with the methodology . The Position is : 

White   - Top (opposite to Yellow)

Yellow - Bottom (opposite to White)

Red      - Front facing you (opposite to Orange)

Blue      - Right side of Red (opposite to Green)

Green    - Left side of Red (opposite to Blue)

Orange  -Remaining side (opposite to Red)

 Here's an example solve, the scramble is

 B' R' B' U' F L' U F2 L F R' D' R' B D F2 L2 D' R2 D'

and the solution is just below .

Target	Algorithm
FR	U R U' M2 U R' U'
UL	L U' L' U M2 U' L U L'
RB	l U' R' U M2 U' R U l'
DB	M U2 M U2
LD	x' U L U' M2 U L' U' x
RU	x' U' R U M2 U' R' U x
UB	M2
DR	U R2 U' M2 U R2 U'
DB	M U2 M U2
FL	U' L' U M2 U' L U
BLD	U' L U R2 U' L' U
FLU	R' U L U' R2 U L' U' R
RBD	(R' U R2 U' R' F' R U R2 U' R' F)
ULB	L' U' L U R2 U' L' U L
UBR	R2
FDL	U' L' U L' U' L U R2 U' L' U L U' L U

This is an easy solve just to show the core idea. It does not include odd parity, breaking into new cycles, and cleaning up misoriented pieces . Though, every once in a while, you might indeed get a solve like this . In this example you can notice that " M2 " & " R2 " which are repeated throughout the algorithm . You better don't get much concern with this example because you have not learnt yet and this is just an example to help you with . Lets begin with our work .

Let me first talk about edges. Notice you should think in terms of stickers. When I say LU, I mean the L part, when I say UL, I mean the U part. It is Recommended that you should memorise each and every algorithm for all the targets which you can see below .

Edges	Target	Algorithm
To solve one edge at a time, we use place DF as "buffer" and swap the edge currently in that place to where it belongs. we use one swap algorithm which swaps DF with UB. To swap DF with another edge, we first bring that edge to UB with setup moves, then apply the swap, then undo the setup moves. Since it's impossible to just swap two pieces and not change anything else on the cube, we do have to have some side effect. My swap algorithm actually is only an M2 move, so the side effect is a rotation of the M-slice centers and swapping the FU and BD edges, though we just think of solving these two relative to the centers, so they're not really swapped (relative to the centers they stay where they are). It only matters for choosing the algorithms for these two edges, think of the "target" telling you where the edge belongs *before* the algorithm. So for example if you target FU then *after* the algorithm the edge will actually end up at BD. Obviously it is called as "M2 method" because of the prominent M2 move.The algorithms (see right side) should be very easy to understand. For the M-slice edges we use the same algorithm for both orientations. we might end up with some flipped M-edges but that's not too bad (as you'll see later). The alternative is to use longer algorithms for half of the cases.	UB BU	M2 M2
	FR DR BR UR	U R U' M2 U R' U' U R2 U' M2 U R2 U' U R' U' M2 U R U' R' U R U' M2 U R' U' R
	FL DL BL UL	U' L' U M2 U' L U U' L2 U M2 U' L2 U U' L U M2 U' L' U L U' L' U M2 U' L U L'
	RU RF RD RB	x' U' R U M2 U' R' U x x' U' R2 U M2 U' R2 U x x' U' R' U M2 U' R U x l U' R' U M2 U' R U l'
	LU LF LD LB	x' U L' U' M2 U L U' x x' U L2' U' M2 U L2 U' x x' U L U' M2 U L' U' x r' U L U' M2 U L' U' r
	DB BD UF FU	M U2 M U2 M U2 M U2 U2 M' U2 M' U2 M' U2 M'

Now the next part to be solved is the corners .

Corners	Target	Algorithm
This is really very much like the edges, only that things are happening in the R-slice instead of the M-slice. In this method , we can solve the corner at DFR by swapping it to UBR with the "algorithm" R2. The side effect is a rotation of the R-slice "centers" (which are edge pieces), and URF and DRB stay where they were relative to the R-slice centers. Targets outside the R-slice (i.e., in the L-slice) get swapped with DFR after bringing them to UBR with setup moves. Targets inside the R-slice have special algs, and for UBR we can simply use R2 for every orientation so that it'll likely end up misoriented which we can fix at the end (you'll see it soon).  Of course, feel free to use other algs, especially for FUR and BDR you might like A-perm plus R2 better.	UBR BRU RUB	R2 U' L' U L U' L' U R2 U' L U L' U' L U U' L U L' U' L U R2 U' L' U L U' L' U
	BLD ULB DLF FLU	U' L U R2 U' L' U L' U' L U R2 U' L' U L U' L2 U R2 U' L2 U R' U L U' R2 U L' U' R
	LBU LUF LFD LDB	U' L' U R2 U' L U L' U' L' U R2 U' L U L L2' U' L' U R2 U' L U L2' L U' L' U R2 U' L U L'
	BUL DBL FDL UFL	y R U R2 U' R' F2 R U R2 U' R' y' U' L2 U L' U' L U R2 U' L' U L U' L2 U U' L' U L' U' L U R2 U' L' U L U' L U L U' L' U L' U' L U R2 U' L' U L U' L U L'
	RBD BDR DRB	(R' U R2 U' R' F' R U R2 U' R' F) (R U R' D r2 U') (R U r2' U') (D' R) (R2 U' R' F') (r U R2' U') (r' F) (R' U)
	RFU URF FUR	(F' R U R2 U' R' F R U R2' U' R) U' (R F' r U R2 U') (r' F R U R2') (R2' U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)

Now comes the final part . we will see how to deal with the special cases: odd parity, cleaning up misoriented pieces, dealing with more than one edge or corner cycle. This helps you in dealing with bad position in the cube which may occur after performing M2 method (after correcting possible edges) or after performing R2 method (after correcting possible corners) .

Special cases	Goal	Algorithm
If there's another cycle when we are done with one, we break into the new one , choosing a target with a fast algorithm (usually M2 or R2). After solving the edges, we might end up with some M-slice edges flipped and some non-M-slice edges flipped because they were like that at the start of the solve. we flip them all together, usually with one of the algorithms on the right side after a setup move. Similarly corners, though mostly DFR and UBR are misoriented. In case of odd parity, the M and R crosses need to be rotated back and the parity algorithm does just that. we have one big clean-up step at the end, fixing misoriented edges and corners and the parity all at once.	Orient edges	(M' U)*4 M' U M' U M' U2 M U M U M U2 (M' U M' U M' U M' U')*2 (U L U' L') (M' U)*4 (L U L' U')
	Orient corners	(R' U R2' U' R2 U' R' U) (R U R' U') (R2 U' R2 U) (R U R2' U' R2 U' R' U) (R U R' U') (R2 U' R2 U R2) (L' U' L U' L' U2 L) (R U R' U R U2 R') (R U2 R' U' R U' R') (L' U2 L U L' U L)
	Odd parity	(R2' U' R2) (R' U) (L' U2') (R U' R' U2 R) (L U') (R2' U)
	Combi- nations	(R2 y') (R' U' l' L U' L U) (L' r' U) (l U') (F R U) (L2 y') (R' U' l' L U' L U) (L' r' U) (l U') (F R U)

The Algorithms for different target stickers are to be memorised . The way of memorising the algorithm , I leave it in your part because I can only say What to learn but i cannot say how to learn .

I have also listed few more Example Scrambles just to help you and make you fimiliar with this Method . 

Example Scrambles:

Solve 1	Solve 2
Scramble: L U L' B' D2 U R' F2 B' D' U B' R2 U' D' F R D' F' U R B2 D B' D'	Scramble: R B2 L' R2 D2 F2 R2 F2 R U2 F U' F2 D' B' D2 U' R' B2 D' F'
DB: M U2 M U2 UB: M2 DL: U' L2 U M2 U' L2 U UR: R' U R U' M2 U R' U' R LF: x' U L2' U' M2 U L2 U' x DB: M U2 M U2 BR: U R' U' M2 U R U' RF: x' U' R2 U M2 U' R2 U x BU: M2	DB: M U2 M U2 UB: M2 DL: U' L2 U M2 U' L2 U RU: x' U' R U M2 U' R' U x FL: U' L' U M2 U' L U BD: M U2 M U2 BR: U R' U' M2 U R U' RF: x' U' R2 U M2 U' R2 U x BU: M2
Orient edges: L F (M' U M' U M' U2 M U M U M U2) F' L'	Orient edges: R F (M' U)*4 F' R'
LUF: L' U' L' U R2 U' L U L UBR: R2 DLF: U' L2 U R2 U' L2 U BDR: (R U R' D r2 U') (R U r2' U') (D' R) RBD: (R' U R2 U' R' F' R U R2 U' R' F) BRU: U' L' U L U' L' U R2 U' L U L' U' L U BLD: U' L U R2 U' L' U LBU: U' L' U R2 U' L U DBL: U' L2 U L' U' L U R2 U' L' U L U' L2 U	LUF: L' U' L' U R2 U' L U L UBR: R2 DLF: U' L2 U R2 U' L2 U BDR: (R U R' D r2 U') (R U r2' U') (D' R) RBD: (R' U R2 U' R' F' R U R2 U' R' F) BRU: U' L' U L U' L' U R2 U' L U L' U' L U BLD: U' L U R2 U' L' U LBU: U' L' U R2 U' L U DBL: U' L2 U L' U' L U R2 U' L' U L U' L2 U
Orient corners and fix parity: (L2 y') (R' U' l' L U' L U) (L' r' U) (l U') (F R U)	Orient corners and fix parity: (L2 y') (R' U' l' L U' L U) (L' r' U) (l U') (F R U)

Thus we , now , have learnt how to solve a Rubiks Cube BlindFold using the M2R2 Method . Thanks for joining me Friends ...

4 x 4 x 4 Rubik's Cube Solving Solution

How To Solve 4x4x4 Rubik's Cube
          
                                   The solving of a 4x4x4 rubik's cube is very easy if you know how to solve a 3x3x3 rubiks  cube . Before we start up with the algorithm , lets know about the the notations .

                  
                           Once we are familiar with these simple notation , we can start out with our main process . When you take a 3x3x3 rubik's cube , it is obviously noted that you can find your centers and you keep on building up over those centers . But When you take a 4x4x4 rubik's cube , you can never determine the centre . And so our first task is to build your centers with the 4 center pieces on each side . The main thing is that you must be more caution about the places taken by the colors . Fix the colors as mentioned here ,
White   - Top (opposite to Yellow)
Yellow - Bottom (opposite to White)
Red      - Front facing you (opposite to Orange)
Blue      - Right side of Red (opposite to Green)
Green    - Left side of Red (opposite to Blue)
Orange  -Remaining side (opposite to Red)

                               This is the way of fixing your center . After fixing the centers , you will have to pair the edges with similar colors . Once you complete pairing start to assemble the cube just as you assemble the 3x3x3 rubik's cube  . Sometimes you will succeed by completing your cube but most often the problem named parity arises at your OLL and PLL . Here comes the algorithm to fix the centers , to pair the edges , and also to overcome the Parity .

                            Hope you will be successful ... And Congratulations !!!

2 x 2 x 2 Rubik's Cube Solving Solution

How To Solve A 2x2x2 Rubiks Cube 


                                              
Pieces and Layers

Corner- a physical corner piece.
A corner piece has three sides.
There are eight corners.

Face- one of the sides of the
cube.

Layer- the cube consists of two
layers (Top/Bottom).


The number of possible positions of
the cube is 3674160.

All these puzzles can be solved in the same way as the normal mini cube.

How To Solve A 2x2x2 Rubiks Cube - Algorithm
Now that you understood the method, it is time to put in practice.

Step 1, Bottom Layer Corners

Choose a color for the Down Face : (let's take White, it can be any color).
Find in the Top Layer a Corner Piece with the color of the Down Face (White).
There are three possible states (turn the Top Layer if necessary).

Use one of the following procedures to solve the cubie:

Down Face color on Front Face
F' - U' - F

Down Face color on Right Face
R - U - R'

Down Face color on Upper Face
R - U2 - R' - U' - R - U - R'
If the Corner Piece is in the Bottom Layer in place but not in position, use one of
the following procedures.

Down Face color on Front Face not in position
F' - U' - F - U2 - R - U' - R'

Down Face color on Right Face not in position
R - U - R' - U' - R - U - R'

Rotate the cube cw 90-degree (or Down Face ccw 90-degree), and look for the
Front color of the recently resolved piece (let's take Green).
D'
Now find in the Top Layer a piece with both colors (White and Green) and repeat
until all four corners are solved.

Step 2, Orient the Top Layer Corners

A Corner Piece which needs to be oriented is one which does not have the Upper
Face color (Yellow).
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 (Yellow) on the Right Face or the
Back Face.

Upper Face color on the Right Face
R - D - R' - D' - R - D - R' - D'

Upper Face color on the Back Face
D - R - D' - R' - D - R - D' - R'
After orienting the first Corner Piece the First Layer 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 Layers will have restored itself.

Step 3, Permute the Top Layer Corners
If the cube is not already resolved, You need to exchange three corners.
Turn the Top Layer so that a Corner Piece is located in its solved position.
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

Permute Three Corners Clockwise

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

Permute Two Top Layer Corners

It can happen that when finishing the Step 2 you have to exchange only two corner
pieces, not three. To solve this case, you will perform a series of movements that
exchange two Front Corner Pieces.

There are two possible states:

Wrong Corners are Side by Side

B - U' - F' - U - B' - U2 - F - U' - F' - U2 - F

Wrong Corners are Diagonally

B - U' - F' - U - B' - U2 - F - U' - F' - U2 - F
In the first case, performing the movements the cube is resolved. In the second
case, there will be three corners to solve, continue with Step 3.
Now you know How To Solve A 2x2x2 Rubiks Cube.

3 x 3 x 3 Rubiks Cube Solving Solution

3 x 3 Rubiks Cube Solution

                This is the basics to beginners to master your cubing skills in a 3 x 3 rubiks cube . It won't take more than a week for an adult and not more than 10 days for a child . This rubiks puzzle is only for persons more than 8 years old .I swear it will surely be a bit of sandwich once you learnt it .