How to Solve a Super Square One Cube?

 How to Solve a Super Square One Cube?

Super Square One cube is one of the most difficult cubes to be solved. Initially, it was a square-shaped cube. But when it is scrambled, it will be a total mesh.

It is just like a 3x3x4 cuboid but its physical dimensions are the same as a cube.

It has two circle pieces divided into two. Each half-circle piece can be rotated.

The first thing to do when it is going to be solved is to make a cube shape.

Like a 3x3x4 cuboid, there are no rotations like R, L, F and B with a single move. It has to be double each.

If we need to rotate R, L, F or B we need to keep the centre line (like an equator) along with the rotation side. There are two of each rotation.

If we rotate one time as a normal cube, as shown in the image, 

It has to be 2 always. so, it is not possible to rotate like F, B, U or D

e.g., if we rotate along the Right (R) centre line of the circle be kept as forward slash or backward slash (\ or /)

Keeping the cube as above and doing R – means 2R in a normal cube

If we want to rotate vertically, we need to keep the centre line of the circle cube along the rotation. or it will not be able to do it.

"Always remember R means 2R, L means 2L"

Another thing to remember is that we do not mention upper and down moves as U, D (upper, down)

We use 1,2,3 for clockwise movement and -1, -2, -3 for anti-clockwise movements

As shown in the image below. draw 3 lines 1,2,3.

If we rotate the upper layer where line 2 moves towards line 1 clockwise, it is called "1". If line 3 rotates towards line 1 and meets line 1, “2" likewise.

If it is ani-clockwise, we call them -1, -2 or -3.

We can draw a line 0 before the line 1 (to the left side)

Keep in mind:

Movements are between the TOP - BOTTOM layers and 1st - 2nd Layers only. We cannot move pieces from the top layer to 1st or 2nd layer and vice versa.

The important thing to remember is to keep the cube's cube shape intact if you have special cases like showing down to solve.

Make the cube scrambled

It will be a total mesh shown in the following image.

We have to fix the cube shape and then other imparity issues.

There is no such predefined algorithm to fix the cube shape.

There are two types of pieces. Small and big.

To form the cube shape, all 8 small pieces in the TOP and BOTTOM layers must be placed on the TOP layer

and 6 big pieces out of 8 are placed on the Bottom layer 

Keep the TOP and bottom layers as shown in the below image and rotate

Once we rotate along the front-to-back line;

It will be shown in the below image

Now hold the cube pieces as shown below image

Next, Rotate along the centre line from front to back

Next, Rotate TOP layer -1 (anti-clockwise one-piece rotation)

The bottom layer 1 (clockwise one-piece rotation)

Rotate again and it will show as the below image.

Next, the TOP and the BOTTOM layers must be adjusted as shown in the below image.

Next, the final Rotation will fix the cube shape

Likewise, the middle layers can be fixed.

Next STEP - fix Parity Issues

Fix corners - TOP/BOTTOM Layers

Just like 2x2x3 or 3x3x4 cuboid,

• Choose the white centre to the bottom
• check whether any of the side colours with the white side match with the white centre or not?
• If the white colour matches, two other colours of that piece should be matched with their side colours.
• E.g. White-Red-Green – if the white side is already matched with the white centre, and other colours are not, we need to fix that first

• The white-green and orange corner pieces need to match the green side of the above corner piece. 
• The white-red-blue corner piece must match the red side of the above corner piece.
• Likewise, all the corners need to match correctly.
• If corners are in the same layer but have parity issues, we can move them to the TOP layer and place them back to the BOTTOM layer with the correct place or use some corner swapping algorithms to fix that by making the bottom layer as TOP layer for a while.
• Move to the TOP layer and revert to the correct positions
• Make a temporary TOP layer and use the algorithm to fix the corner issue
• Move to the TOP layer and revert to the correct positions

PRIME BOTH BOTTOM LAYERS ARE A MUST BEFORE ROTATION.

Place the imparity corner to the BOTTOM-FRONT-RIGHT corner and do

             2R U 2R U’ 2R - It will move the corner to the TOP layer. 

Then rotate the bottom layer until matches the corner that moves to the TOP layer. 

Next, place the corner piece to the TOP-RIGHT-FRONT and do the following algorithm to fix the bottom layer right front corner.

             2R U' 2R U 2R - It will move the TOP-RIGHT-FRONT corner to the BOTTOM-RIGHT-FRONT corner.

(The right-side colour of the top layer corner must match the colour of the front side of the bottom layer and the front-side colour must match the right-side colour of the bottom layer)

It will fix the corner issue, likewise do it for all imparity corners.

Make a temporary TOP layer and use the algorithm to fix the corner issue

Adjacent Corner Swapping - RIGHT side

Upside down the cube and make the bottom as top and the top as bottom.

Check whether the two corners are correctly positioned or not. If so, keep them to the left side and imparity corners to the right side

Now do the following algorithm

Prime both bottom layers

Use (2R U 2R U’ 2R) U’D’ (2R U’ 2R U 2R)

IF NO two corners are matched, do not worry place one correct corner to the FRONT-TOP-Left corner and do the above algorithms, it will make two corners matched. 

Then keep two matched corners to the left and do the same algorithm once. 

It will make all corners correct.

Next:

Centre Circle imparity adjustment -OPPOSITE Centre circle pieces SWAP

Prime bottom two layers

 Use 2R 2U 2R 2U 2R 2U

Sometimes, after getting the Centrepieces (circles) fixed, the TOP and bottom corners will be swapped. Then use the above Method to fix that also.

If only one corner needs to be fixed and the centre pieces are also correct, use a dummy corner to bring down and then use the correct corner pieces to fix the corner and centre parity issue.

Next to Fix the TOP layer (Yellow), use the same methods used above to fix the temporary TOP layer.

Now time to fix the TOP-BOTTOM Layer edges

When we going to fix edges – consider the TOP / BOTTOM layers,

• All edges are misplaced (within the same TOP layer)
• Three edges are misplaced (3 edges within the TOP layer and the other edge is the bottom layer)
• Two edges are misplaced (2 edges within the TOP layer and the other 2 edges in are bottom layer)
• One edge is misplaced (1 edge is the TOP layer and the other 3 edges are the bottom layer)

Edges are in the same layer: We just need to swap within the same layer. 

If other conditions are met, first we need to bring the same colour edges to the same layer (TOP or BOTTOM). We can easily find them in the TOP/BOTTOM layers but unfortunately, if that happens in the middle layers, we cannot find it out. 

(We will discuss that layer. Because Middle layer centres are like the TOP layer edges)

One edge of the TOP layer swapped with the BOTTOM layer

If one white edge is swapped with a yellow edge;

We have to make another edge also swapped and that would make L shape two edges from each layer swapped to fix the all edges.

When we do the algorithm the TOP layer's right-side edge and the BOTTOM layer's left-side edge also swapped each other. 

Arrange the TOP and bottom layers that will make an L shape after performing the algorithm. ( KEEP both the TOP and the BOTTOM layers as shown above image.)

Otherwise, L-shape edge swaps do not happen after the use of the algorithm.

PRIME the both Bottom layers (D' side)

    2R (D' -the bottom two layers) 2R

UNPRIME the both bottom layers (D side)

PRIME Top two layers (U side)

    2R 2U (Top Two Layers) 2R

UnPrime  Top Two Layers - (U' side)

PRIME both bottom layers (D' side)

    2R D (bottom two layers) 2R

UnPrime out the bottom two layers (D side)

PRIME Top two layers (U side)

Prime OUT Top Two Layers - (U' side)

    2R (2U -Top Two Layers) 2R

After the use of the algorithm, TOP later and the BOTTOM layer edges with an L shape will be as shown in the image

Now TOP and BOTTOM layers must be adjusted according to the algorithm that we used before. Otherwise, the edges will not be swapped correctly. 

“The front side edges of the TOP and BOTTOM layers, the left side edge of the BOTTOM layer with the Right-side edge of the TOP layer will be swapped when we do the above algorithm “

So TOP and BOTTOM layers must be placed as shown in the below image to correct swaps.

After using the algorithm by keeping the TOP and BOTTOM layers like the above image, the edges of the TOP and the BOTTOM layers issue will be fixed but there can be another parity issue within the same layer.

Now time to fix the edge imparity issue within the same Layer;

There will be some sort of parity issue after placing the edges on the same layer with the TOP or bottom colours matched.

Edges will be swapped opposite, L shape or both.

Sometimes, the edges of two sides (either opposite or adjacent) are correctly placed with no parity issues. 

As shown in the above image, the BOTTOM layer front and back edges are swapped like a line.

The TOP layer adjacent edges are swapped like a “L” shape.

We have to break correctly and place edges in order to fix the parity issue. 

Because L shape imparity edges to fix by rotating them to the correct place.

If we face an edge imparity issue, we have to do the following algorithm three times to fix the issue.

• Rotate UPPER Layer imparity edges to right and back – (that need to fix edges)
• Rotate the Bottom layer imparity edges to the left and back- (that need fixed edges)
• Prime BOTTOM layer - layer that needs to be fixed (1st or 2nd)

                2R D'2R

• Unprime bottom layer - layer that needs to be fixed (1st or 2nd from the BOTTOM)
• Prime TOP layer - layer that needs to be fixed (1st or 2nd from the TOP)

                2R D 2R

• Unprime TOP layer - layer that needs to be fixed (1st or 2nd from the TOP)
• Prime bottom layer - layer that needs to be fixed (1st or 2nd from the BOTTOM)

                2R

• Unprime bottom layer - layer that needs to be fixed (1st or 2nd from the BOTTOM)
• Prime TOP layer - layer that needs to be fixed (1st or 2nd from the TOP)

                2R

• Unprime all layers

The above algorithm is to be used every time to fix the same layer edge imparity issues.

Hold the cube as shown in the following image and do the above algorithm once.

After finishing the algorithm, it will be like as below image.

Now check the bottom layer which has three edges to be fixed. We can do them by using the above algorithm two more times. 

To do that bottom layer must be rotated until the correct place where the green edges to the left side and the blue edge to the backside 

No need to worry about the TOP layer. Keep it same position.

Now use the algorithm once and it will be like the below image.

Now rotate the bottom layer where the Orange edge is to the left and the Blue edge to the back – do not move the TOP layer, as shown in the below image.

Do the same algorithm once and the TOP/BOTTOM layers will be fixed.

Fix Middle layers

Here we need to consider only the middle layers but when doing rotations, the bottom layer (1st Layer) needs to prime otherwise the cube shape will be lost.

Algorithms are the same as TOP/BOTTO layers until fixed edges (just like TOP/Bottom corners)

When we consider middle layer centers (just like TOP/BOTTOM edges), we cannot identify whether the correct Edge is placed correct position or not by colour because we can see only one colour. 

E.g., Let’s consider Green; there are two green colour pieces but which one is the 2nd layer and which one is the 3rd layer, we cannot say exactly.

If that scenario happens, we have to do the following algorithm by keeping the cube’s middle layers;

• 2nd layer Centrepieces (pieces just like edges of the TOP/BOTTOM) to the left and Front sides.
• 3rd layer Centrepieces (pieces just like edges of the TOP/BOTTOM) to the Right and Front sides.

NEED TO REMEMBER: - centre pieces swap from Top-to-bottom and TOP-RIGHT to BOTTOM_LEFT

So, we have to keep layers the centrepieces could be moved after the algorithm takes place and there should be no same colour two pieces in the same layer.

As shown in the following image, two orange colours are in the same layer, two Greens are in the same layer, two Reds are in the same layer, and two Blues are in the same layer.

If we do the algorithm by keeping the cube as shown above, it will not fix as we expected.

Because The red and the blue centres of the Front side will be swapped. Meanwhile, the blue on the left side and the RED on the right side also swapped. 

Then two Blues are in the TOP middle layer and the Two reds are in the bottom middle layers.

If we rotate the TOP Middle layers as shown in the below image;

• TOP-Middle Layer rotate Anti-Clockwise
• The bottom-middle layer rotates clockwise

When using the algorithm, 

PRIME bottom two layers (D' side)

    ○ 2R (D' -the bottom two layers) 2R

Prime out the bottom two layers (D side)

PRIME Top two layers (U side)

    ○ 2R ( 2U -Top Two Layers ) 2R

Prime OUT Top Two Layers -( U' side )

PRIME bottom two layers ( D' side )

    ○ 2R ( D -bottom two layers ) 2R

Prime out the bottom two layers (D side)

PRIME Top two layers (U side)

Prime OUT Top Two Layers -( U' side )

    ○ 2R ( 2U -Top Two Layers ) 2R

The orange and green centre pieces of the Front side will be swapped.

• The orange piece goes to the bottom middle layer
• The green piece goes to the TOP-Middle Layer
• The Blue centrepiece of the left side of the bottom middle layer and the Red centrepiece of the right side of the top middle layer also be swapped.

After the algorithm, the cube centre pieces of the sides are shown in the below image

Now, we have to do the following algorithm three times to fix the issue.

Choose the centre pieces that fix the imparity issues with the algorithm.

• Rotate UPPER Layer imparity edges to right and back – (that need to fix edges)
• Rotate the Bottom layer imparity edges to the left and back- (that need fixed edges)
• Prime BOTTOM layer - layer that needs to be fixed (1st or 2nd)
• 2R D'2R
• Unprime bottom layer - layer that needs to be fixed (1st or 2nd from the BOTTOM)
• Prime TOP layer - layer that needs to be fixed (1st or 2nd from the TOP)
• 2R D 2R
• Unprime TOP layer - layer that needs to be fixed (1st or 2nd from the TOP)
• Prime bottom layer - layer that needs to be fixed (1st or 2nd from the BOTTOM)
• 2R
• Unprime bottom layer - layer that needs to be fixed (1st or 2nd from the BOTTOM)
• Prime TOP layer - layer that needs to be fixed (1st or 2nd from the TOP)
• 2R
• Unprime all layers

The above algorithm is to be used every time to fix the same layer edge imparity issues.

Special Cases – Edges imparity issue

Case 1 – TOP layer or BOTTOM layer Adjacent edges swapped

As shown in the below image, if this type of situation happens, we have to break the cube’s cube shape only for the TOP and BOTTOM layers because pieces are swapped with these layers only. 

Before doing the relevant algorithm, first prime the 2nd layer from the bottom (1st middle layer).

• Prime the BOTTOM Middle layer
• 2R  
• U' -TOP Layer (-1, -2)
• D'-BOTTOM Layer (-1, -2)
• 2R
• -1 turn TOP and -1 BOTTOM only
• 2R
•  -1, -2 TOP and -1, -2 BOTTOM only
• 2R
•  -1 TOP only
• 2R
• 1,2 TOP and 1,2BOTTOM only
• 2R
• -1 (TOP and BOTTOM only)
• 2R
• U'-TOP only (-1, -2)
• D' -BOTTOM ONLY-( -1, -2)
• 2R

Adjust corners and others

 

Case 2 - TOP Two layers or BOTTOM Two layers

If this type of situation happens, we have to break the cube’s cube shape for all layers. Do the relevant algorithm without primes any layers

Parity Issue of TOP TWO layers -Two adjacent side

• 2R
• U' -TOP two Layers (-1, -2)
• D'-BOTTOM two Layers (-1, -2)
• 2R
• -1 turn TOP two layers and -1 BOTTOM two layers
• 2R
• -1, -2 TOP two and -1, -2 BOTTOM two
• 2R
• -1 TOP two only
• 2R
• TOP two layers and 1,2 BOTTOM two layers
• 2R
• -1 (TOP two and BOTTOM two)
• 2R
• U'-TOP two layers (-1, -2)
• D' -BOTOM two layers -1, -2)
• 2R

Adjust corners and others

It is very hard to fix both at a time, so first fix the TOP layer parity issue and then fix the TOP-Middle layer parity issue. You can do both at the same time if the cube is so convenient to rotate. 

Case 3 – TOP Middle Layer or Bottom Middle Layer

If this type of situation happens, we have to break the cube’s cube shape only for the middle layers because pieces are swapped with these layers only. Before doing the relevant algorithm, first prime the bottom layer.

• Prime the BOTTOM Middle layer
• 2R
• U' -TOP Layer (-1, -2)
• D'-BOTTOM Layer (-1, -2)
• 2R
•  -1 turn TOP and -1 BOTTOM only
• 2R
•  -1, -2 TOP and -1, -2 BOTTOM only
•  2R
•  -1 TOP only
• 2R
• 1,2 TOP and 1,2BOTTOM only
•  2R
• -1 (TOP and BOTTOM only)
• 2R
• U'-TOP only (-1, -2)
• D' -BOTTOM ONLY-( -1, -2)
• 2R

Adjust corners and others

Case 4 – TOP layer and Bottom-Middle layer 

If this type of situation happens, we have to break the cube’s cube shape for all layers. Do the relevant algorithm without primes any layers.

Turn solved side to front -one imparity side to the right and others to back

• 2R (U' -both TOP) (D' -both down) 2R
• Unprime both TOP (-1) and Prime both Down (1)
• 2R
• 2 x Unprime both TOP (-1, -2) and 2 x Prime both Down (1 , 2)
• 2R
• Unprime both TOP (-1)
• 2R
• 2 x Unprime both TOP (-1, -2) and 2 x Prime both Down (1 , 2)
• 2R
• Unprime both TOP (-1) and Prime both Down (1)
• 2U -both (4 pieces to backside, 2 pieces to front side -all 4 layers)
• 2R
• Prime the TOP two
• 2R
• Then adjust the top and bottom corners
• 2R
• Turn TOP two layers counter-clockwise (U')
• Turn two BOTTOM layers clockwise -U
• Prime bottom two
• 2R