Notation

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.

© Walter Randelshofer. All rights reserved.