# Notation

## SSE 3x3

The SSE 3x3 (Superset ENG) is a notation for cubes with 3 layers, such as the Rubik's Cube. The notation is based on the English language. It supports 90° and 180° twists of the layers of the cube. A whole cube can be rotated along its face axes. Permutation and orientation changes of individual cube parts can be specified using permutation cycles.

### Face twists: R, R', R2

Move Right Up Front Left Down Back
○○● +90° `R` `U` `F` `L` `D` `B`
○○● -90° `R'` `U'` `F'` `L'` `D'` `B'`
○○● +180° `R2` `U2` `F2` `L2` `D2` `B2`

Clockwise 90° twists of the six faces of the cube are described by the capital letters: R, U, F, L, D and B, (right, up, front, left, down, back). For example, R rotates the right face in clockwise direction as seen from the right face.

Counterclockwise twists and rotations are described by appending the inversion operator ' to a move: R', U', F', ...

In environments, where the ' character can not be used, the character - can be used as an alternative inversion operator.

180° twists and rotations are described by appending the number 2 to a move: R2, U2, F2, ...

### Tier twists: TR, TR', TR2

Move Right Up Front Left Down Back
○●● +90° `TR` `TU` `TF` `TL` `TD` `TB`
○●● -90° `TR'` `TU'` `TF'` `TL'` `TD'` `TB'`
○●● +180° `TR2` `TU2` `TF2` `TL2` `TD2` `TB2`

Twists which go two layers deep (tier twists) are described by prepending the letter T to a face twist: TR, TU', TF2. For example, TR rotates the outer two layers in clockwise direction as seen from the right face.

### Mid-layer twists: MR, MR', MR2

Move Right Up Front Left Down Back
○●○ +90° `MR` `MU` `MF` `ML` `MD` `MB`
○●○ -90° `MR'` `MU'` `MF'` `ML'` `MD'` `MB'`
○●○ +180° `MR2` `MU2` `MF2` `ML2` `MD2` `MB2`

Twists of the layer in the middle (mid-layer twists) are described by prepending the letter M to a face twist: MR, MU', MF2. For example, MR rotates the middle layer in clockwise direction as seen from the right face.

### Slice twists: SR, SR', SR2

Move Right Up Front Left Down Back
●○● +90° `SR` `SU` `SF` `SL` `SD` `SB`
●○● -90° `SR'` `SU'` `SF'` `SL'` `SD'` `SB'`
●○● +180° `SR2` `SU2` `SF2` `SL2` `SD2` `SB2`

Twists of opposing faces (slice twists) are described by prepending the letter S to a face twist. For example, SR turns the right face and the opposing left face in clockwise direction as seen from the right face.

### Cube rotations: CR, CR', CR2

Move Right Up Front Left Down Back
●●● +90° `CR` `CU` `CF` `CL` `CD` `CB`
●●● -90° `CR'` `CU'` `CF'` `CL'` `CD'` `CB'`
●●● +180° `CR2` `CU2` `CF2` `CL2` `CD2` `CB2`

Rotations of the whole cube (cube rotations) are described by prepending the letter C to a face twist. For example, CR rotates the whole cube in clockwise direction as seen from the right face.

### Grouping

Sequences of moves can be grouped using brackets: (R U F).

### Repetition

Moves and groups can be repeated multiple times by appending the number of repetitions to the closing bracket: (R U F)3.