## 3x3x1 cube - Blocks method

1. Cross

2. 2x2x1 block

3. 3x2x1 block

4. Final step

The 3x3x1 cube is actualy a cuboid, called Floppy Cube, based on a 3x3x3. In this type of cuboids the turns are always 180º, but we keep the number 2 in the notation because certain Floppy cubes allow 90º without blocking. The pictures with red glowing shapes show what is intended, and the pictures on the very right show the final result (colouring just the well placed pieces).

### Cross

In this cuboid the center pieces are fixed. Therefore, in order to solve the cross we will have just two options: The cross is solved, or we need to turn the faces F, R, B or L to solve it.

### 2x2x1 block

Let’s form a 2x2x1 block; in this tutorial it is created in the front-right part. In this step there are two possibilities, being the already-solved block one of them.

In Table 1 we have the possible positions for the corner of this 2x2x1 block, and the algorithms needed to get that block.

Table 1: Possible cases of the corner

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L2 F2 L2 F2

F2 L2 F2 L2

F2 B2 L2 F2 B2

On the left there is no algorithm since the piece is well placed and oriented. In the rest of the cases the algorithm will be applied while holding the cube in the position shown in the pictures. Those algorithms could be shorter but this way we keep the cross well placed.

### 3x2x1 block

Let’s create a 3x2x1 block that includes the previous one. We already have the cross, so the only remaining piece is the front-left corner. There are three possibilities, being the already-solved block one of them.

Table 2 shows the possible positions of the corner that completes the 3x2x1 block and the algorithms needed to get it.

Table 2: Possible cases of the corner

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B2 L2 B2 L2

L2 B2 L2 B2

Like in the previous block, on the left there is no algorithm since the piece is well placed and oriented. In the rest of the cases the algorithm will be applied while holding the cube in the position shown in the pictures.

### Final step

This step is the easiest one because the two remaining corners get into their place automatically. There are two cases: In the first one the cube is solved; in the other one we have to turn the B face to finish it.

By doing this, the cuboid is already solved. With some practice this cube can be solved intuitively and faster than using this method. We encourage you to try.