Notation

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.

© Walter Randelshofer. All rights reserved.