SSE 3x3 Megaminx
The SSE 3x3 Megaminx (Superset ENG) is a notation for dodecahedrons with 3 layers, such as the Megaminx. The notation is based on the English language. It supports 72°, and 144° twists of the layers of the dodecahedron. A whole dodecahedron can be rotated along its face axes. Permutation and orientation changes of individual dodecahedron parts can be specified using permutation cycles.
Face names and opposite faces
The 6 faces in the upper half of the dodecahedron are right, front, left, up left, up right and up. The 6 faces in the lower half are down right, down left, back left, back, back right and down. Each face has one opposite face, there are 6 pairs in total:
U (up), D (down)
R (right), BL (back left)
F (front), B (back)
L (left), BR (back right)
UL (up left), DR (down right)
UR (up right), DL (down left)
Face twists: R, R', R2, R2'
| Move | Right | Front | Left | Up Left |
Up Right |
Up |
|---|---|---|---|---|---|---|
| ○○● +72° | R |
F |
L |
UL |
UR |
U |
| ○○● -72° | R' |
F' |
L' |
UL' |
UR' |
U' |
| ○○● +144° | R2 |
F2 |
L2 |
UL2 |
UR2 |
U2 |
| ○○● -144° | R2' |
F2' |
L2' |
UL2' |
UR2' |
U2' |
| Move | Down Right |
Down Left |
Back Left |
Back | Back Right |
Down |
|---|---|---|---|---|---|---|
| ○○● +72° | DR |
DL |
BL |
B |
BR |
D |
| ○○● -72° | DR' |
DL' |
BL' |
B' |
BR' |
D' |
| ○○● +144° | DR2 |
DL2 |
BL2 |
B2 |
BR2 |
D2 |
| ○○● -144° | DR2' |
DL2' |
BL2' |
B2' |
BR2' |
D2' |
Clockwise 72° twists of the 12 faces of the dodecahedron are described by the capital letters: R, F, L, UL, UR, U DR, DL, BL, B, BR, D (right, front, left, up left, up right, up, down right, down left, back left, back, back right, down). 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.
144° twists and rotations are described by appending the number 2 to a move: R2, U2, F2, ...
216° twists: To keep scripts short, R3, U3, F3, ... are never used, because they are equivalent to R2', U2', F2', ...
288° twists: To keep scripts short, R4, U4, F4, ... are never used, because they are equivalent to R', U', F', ...
Tier twists: TR, TR', TR2, TR2'
| Move | Right | Front | Left | Up Left |
Up Right |
Up |
|---|---|---|---|---|---|---|
| ○●● +72° | TR |
TF |
TL |
TUL |
TUR |
TU |
| ○●● -72° | TR' |
TF' |
TL' |
TUL' |
TUR' |
TU' |
| ○●● +144° | TR2 |
TF2 |
TL2 |
TUL2 |
TUR2 |
TU2 |
| ○●● -144° | TR2' |
TF2' |
TL2' |
TUL2' |
TUR2' |
TU2' |
| Move | Down Right |
Down Left |
Back Left |
Back | Back Right |
Down |
|---|---|---|---|---|---|---|
| ○●● +72° | TDR |
TDL |
TBL |
TB |
TBR |
TD |
| ○●● -72° | TDR' |
TDL' |
TBL' |
TB' |
TBR' |
TD' |
| ○●● +144° | TDR2 |
TDL2 |
TBL2 |
TB2 |
TBR2 |
TD2 |
| ○●● -144° | TDR2' |
TDL2' |
TBL2' |
TB2' |
TBR2' |
TD2' |
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, MR2'
| Move | Right | Front | Left | Up Left |
Up Right |
Up |
|---|---|---|---|---|---|---|
| ○●○ +72° | MR |
MF |
ML |
MUL |
MUR |
MU |
| ○●○ -72° | MR' |
MF' |
ML' |
MUL' |
MUR' |
MU' |
| ○●○ +144° | MR2 |
MF2 |
ML2 |
MUL2 |
MUR2 |
MU2 |
| ○●○ -144° | MR2' |
MF2' |
ML2' |
MUL2' |
MUR2' |
MU2' |
| Move | Down Right |
Down Left |
Back Left |
Back | Back Right |
Down |
|---|---|---|---|---|---|---|
| ○●○ +72° | MDR |
MDL |
MBL |
MB |
MBR |
MD |
| ○●○ -72° | MDR' |
MDL' |
MBL' |
MB' |
MBR' |
MD' |
| ○●○ +144° | MDR2 |
MDL2 |
MBL2 |
MB2 |
MBR2 |
MD2 |
| ○●○ -144° | MDR2' |
MDL2' |
MBL2' |
MB2' |
MBR2' |
MD2' |
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, SR2'
| Move | Right | Front | Left | Up Left |
Up Right |
Up |
|---|---|---|---|---|---|---|
| ●○● +72° | SR |
SF |
SL |
SUL |
SUR |
SU |
| ●○● -72° | SR' |
SF' |
SL' |
SUL' |
SUR' |
SU' |
| ●○● +144° | SR2 |
SF2 |
SL2 |
SUL2 |
SUR2 |
SU2 |
| ●○● -144° | SR2' |
SF2' |
SL2' |
SUL2' |
SUR2' |
SU2' |
| Move | Down Right |
Down Left |
Back Left |
Back | Back Right |
Down |
|---|---|---|---|---|---|---|
| ●○● +72° | SDR |
SDL |
SBL |
SB |
SBR |
SD |
| ●○● -72° | SDR' |
SDL' |
SBL' |
SB' |
SBR' |
SD' |
| ●○● +144° | SDR2 |
SDL2 |
SBL2 |
SB2 |
SBR2 |
SD2 |
| ●○● -144° | SDR2' |
SDL2' |
SBL2' |
SB2' |
SBR2' |
SD2' |
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 back left face in clockwise direction as seen from the right face.
Dodecahedron rotations: CR, CR', CR2, CR2'
| Move | Right | Front | Left | Up Left |
Up Right |
Up |
|---|---|---|---|---|---|---|
| ●●● +72° | CR |
CF |
CL |
CUL |
CUR |
CU |
| ●●● -72° | CR' |
CF' |
CL' |
CUL' |
CUR' |
CU' |
| ●●● +144° | CR2 |
CF2 |
CL2 |
CUL2 |
CUR2 |
CU2 |
| ●●● -144° | CR2' |
CF2' |
CL2' |
CUL2' |
CUR2' |
CU2' |
| Move | Down Right |
Down Left |
Back Left |
Back | Back Right |
Down |
|---|---|---|---|---|---|---|
| ●●● +72° | CDR |
CDL |
CBL |
CB |
CBR |
CD |
| ●●● -72° | CDR' |
CDL' |
CBL' |
CB' |
CBR' |
CD' |
| ●●● +144° | CDR2 |
CDL2 |
CBL2 |
CB2 |
CBR2 |
CD2 |
| ●●● -144° | CDR2' |
CDL2' |
CBL2' |
CB2' |
CBR2' |
CD2' |
Rotations of the whole dodecahedron (dodecahedron rotations) are described by prepending the letter C to a face twist. For example, CR rotates the whole dodecahedron 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.