## Superset ENG 3x3

Superset ENG 3x3 is a notation for Rubik's Cubes with 3 layers. 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**.

#### Further informations

See also the complete description of the Superset ENG 3x3 notation.