## Superset ENG 3x3 Pyraminx

Superset ENG 3x3 is a notation for Pyramids with 3 layers. The notation is based on the English language. It supports 120° twists of the layers of the pyramid. A whole pyramid can be rotated along its corner axes. Permutation and orientation changes of individual cube parts can be specified using permutation cycles.

### Corner twists: R, R'

Move | Right | Up | Left | Back |
---|---|---|---|---|

○○● +120° | `R` |
`U` |
`L` |
`B` |

○○● -120° | `R'` |
`U'` |
`L'` |
`B'` |

Clockwise 120° twists of the four corners (tips) of the pyramid are described by the capital letters: **R**, **U**,
**L** and **B**, (right, up, left, back). For example, **R** rotates the
right corner in clockwise direction as seen from the right corner.

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

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

240° twists and rotations are described by appending the number **2** to a move: **R2**, **U2**, **L2**,
...

### Tier twists: TR, TR'

Move | Right | Up | Left | Back |
---|---|---|---|---|

○●● +120° | `TR` |
`TU` |
`TL` |
`TB` |

○●● -120° | `TR'` |
`TU'` |
`TL'` |
`TB'` |

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

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

Move | Right | Up | Left | Back |
---|---|---|---|---|

○●○ +120° | `MR` |
`MU` |
`ML` |
`MB` |

○●○ -120° | `MR'` |
`MU'` |
`ML'` |
`MB'` |

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

### Pyramid rotations: CR, CR'

Move | Right | Up | Left | Back |
---|---|---|---|---|

●●● +120° | `CR` |
`CU` |
`CL` |
`CB` |

●●● -120° | `CR'` |
`CU'` |
`CL'` |
`CB'` |

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

### Grouping

Sequences of moves can be grouped using brackets: **(TR TU TL)**.

### Repetition

Moves and groups can be repeated multiple times by appending the number of repetitions to the closing bracket: **(TR TU TL)3**.