Notation

Superset ENG 7x7

Superset ENG 7x7 is a notation for Rubik's Cubes with 7 layers, such as the V-Cube 7. 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, ... T3R, T4R, T5R, T6R

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
○○○○●●● +90° T3R T3U T3F T3L T3D T3B
○○○○●●● -90° T3R' T3U' T3F' T3L' T3D' T3B'
○○○○●●● +180° T3R2 T3U2 T3F2 T3L2 T3D2 T3B2
○○○●●●● +90° T4R T4U T4F T4L T4D T4B
○○○●●●● -90° T4R' T4U' T4F' T4L' T4D' T4B'
○○○●●●● +180° T4R2 T4U2 T4F2 T4L2 T4D2 T4B2
○○●●●●● +90° T5R T5U T5F T5L T5D T5B
○○●●●●● -90° T5R' T5U' T5F' T5L' T5D' T5B'
○○●●●●● +180° T5R2 T5U2 T5F2 T5L2 T5D2 T5B2
○●●●●●● +90° T6R T6U T6F T6L T6D T6B
○●●●●●● -90° T6R' T6U' T6F' T6L' T6D' T6B'
○●●●●●● +180° T6R2 T6U2 T6F2 T6L2 T6D2 T6B2

Twists which go multiple layers deep (tier twists) are described by prepending the letter T to a face twist: TR, TU', TF2.

The depth of the tier can be specified by inserting a number after the letter T. For example, T3R twists three layers deep in clockwise direction as seen from the right face.

If the dept is not explicitly specified, the value 2 is assumed: TL, TD', TB2.

To keep scripts short, T1R is never used, because it is equivalent to R. T2R is never used, because it is equivalent to TR.

Numbered layer twists: NR, NR', NR2, ... N3R

Move Right Up Front Left Down Back
○○○○○●○ +90° NR NU NF NL ND NB
○○○○○●○ -90° NR' NU' NF' NL' ND' NB'
○○○○○●○ +180° NR2 NU2 NF2 NL2 ND2 NB2
○○○○●○○ +90° N3R N3U N3F N3L N3D N3B
○○○○●○○ -90° N3R' N3U' N3F' N3L' N3D' N3B'
○○○○●○○ +180° N3R2 N3U2 N3F2 N3L2 N3D2 N3B2

Twists of an individual layer of the cube (twist of the n-th layer) are described by prepending the letter N to a face twist. The number of the layer can be specified by inserting the number of the layer after the letter N, for example N4R, N3U', N4F2.

Layers are numbered starting from the face described by the face twist towards the opposite face. The layer at the face of the cube has number 1, the next layer has number 2, and so on.

If the layer is not explicitly specified, the value 2 is assumed, for example NL, ND', NB2.

To keep scripts short, N1R is never used, because it is equivalent to R. N2R is never used, because it is equivalent to NR.

Numbered range twists: N2-3R, N2-3R', N2-3R2, ...

Twists of a range of layers are described by prepending the letter N to a face twist, followed by the number of the first layer, a - character, and the number of the last layer.

N2-4R twists the layers 2 through 4 in clockwise direction as seen from the right face.

To keep scripts short, ranges which start with 1 or end with the last layer of the cube are written as tier twists, instead of N1-3F2 we write T3F2, instead of N5-7F we write T3B'. Ranges of only one layer are written as N layer twists, instead of N2-2D' we write N2D'.

Verge twists: VR, VR', VR2, ... V3R, V4R

Move Right Up Front Left Down Back
○○○○●●○ +90° VR VU VF VL VD VB
○○○○●●○ -90° VR' VU' VF' VL' VD' VB'
○○○○●●○ +180° VR2 VU2 VF2 VL2 VD2 VB2
○○○●●●○ +90° V3R V3U V3F V3L V3D V3B
○○○●●●○ -90° V3R' V3U' V3F' V3L' V3D' V3B'
○○○●●●○ +180° V3R2 V3U2 V3F2 V3L2 V3D2 V3B2
○○●●●●○ +90° V4R V4U V4F V4L V4D V4B
○○●●●●○ -90° V4R' V4U' V4F' V4L' V4D' V4B'
○○●●●●○ +180° V4R2 V4U2 V4F2 V4L2 V4D2 V4B2

Tier twists without the cube face (verge twists) can be described by prepending the letter V to a face twist: VR, VU', VF2.

The depth of verge layers can be specified by inserting a number after the letter V. For example, V3R twists the layers 2 through 4 in clockwise direction as seen from the right face.

If the depth is not explicitly specified, the value 2 is assumed: VL, VD', VB2.

To keep scripts short, V1R is never used, because it is equivalent to NR. V2R is never used, because it is equivalent to VR.

Mid-layer twists: MR, MR', MR2, ... M2R, M3R, M4R

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
○○○●●○○ +90° M2R M2U M2F M2L M2D M2B
○○○●●○○ -90° M2R' M2U' M2F' M2L' M2D' M2B'
○○○●●○○ +180° M2R2 M2U2 M2F2 M2L2 M2D2 M2B2
○○●●●○○ +90° M3R M3U M3F M3L M3D M3B
○○●●●○○ -90° M3R' M3U' M3F' M3L' M3D' M3B'
○○●●●○○ +180° M3R2 M3U2 M3F2 M3L2 M3D2 M3B2
○○●●●●○ +90° M4R M4U M4F M4L M4D M4B
○○●●●●○ -90° M4R' M4U' M4F' M4L' M4D' M4B'
○○●●●●○ +180° M4R2 M4U2 M4F2 M4L2 M4D2 M4B2

Twists of the layer in the middle (mid-layer twists) are described by prepending the letter M to a face twist: MR, MU', MF2.

On cubes with an even amount of layers, the mid-layers are the ones closer to the face of the cube.

The number of layers twisted can be specified by inserting a number after the letter M. For example, M2R twists two layers in the middle in clockwise direction as seen from the right face.

If the depth is not explicitly specified, the value 1 is assumed, for example ML, MD', MB2.

To keep scripts short, M1R is never used, because it is equivalent to MR.

Wide-layer twists: WR, WR', WR2

Move Right Up Front Left Down Back
○●●●●●○ +90° WR WU WF WL WD WB
○●●●●●○ -90° WR' WU' WF' WL' WD' WB'
○●●●●●○ +180° WR2 WU2 WF2 WL2 WD2 WB2

Twists of all layers except the outer faces (wide-layer twists) can be described by prepending the letter W to a face twist: WR, WU', WF2.

WR is equal to M5R and twists five layers in the middle in clockwise direction as seen from the right face.

Slice twists: SR, SR', SR2, ... S2R, S3R2

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
●●○○○●● +90° S2R S2U S2F S2L S2D S2B
●●○○○●● -90° S2R' S2U' S2F' S2L' S2D' S2B'
●●○○○●● +180° S2R2 S2U2 S2F2 S2L2 S2D2 S2B2
●●●○●●● +90° S3R S3U S3F S3L S3D S3B
●●●○●●● -90° S3R' S3U' S3F' S3L' S3D' S3B'
●●●○●●● +180° S3R2 S3U2 S3F2 S3L2 S3D2 S3B2

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.

The depth of the slices can be specified by inserting a number after the letter S, for example S2R.

If the depth is not explicitly specified, the value 1 is assumed, for example SL, SD', SB2.

To keep scripts short, S1R is never used, because it is equivalent to SR.

Slice range twists: S2-5R, S2-5R', S2-5R2, ...

Slice twists around an arbitrary range of layers are described by prepending the letter S to a face twist, followed by the number of the first layer, a - character, and the number of the last layer.

S2-4R performs a slice twists around the layers 2 through 4 in clockwise direction as seen from the right face.

To keep scripts short, slice range twists are only used, if there is no equivalent slice twist. For example, instead of S2-6F2 we write SF2.

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 7x7 notation.

© Walter Randelshofer. All rights reserved.