| Cycle |
Algorithm (optimal length) |
Case Name |
| (URB UBL ULF) |
L
F' L B2 L' F L B2 L2 (9 HTM) |
A9 |
| (URB UBL UFR) |
R2
B2 R F R' B2 R F' R (9 HTM) |
A9 |
| (URB UBL FUL) |
L
F R' F' L' F R F' (8 HTM) |
Direct Insert |
| (URB UBL FRU) |
R
B L B' R' B L' B' (8 HTM) |
Direct Insert |
| (URB UBL FLD) |
U'
B D' B' U B D B' (8 HTM) |
Drop and Catch |
| (URB UBL FDR) |
U'
L' D2 L U L' D2 L (8 HTM) |
Drop and Catch |
| (URB UBL RUF) |
B
U2 B D B' U2 B D' B2 (9 HTM) |
A9 |
| (URB UBL RFD) |
U'
B D2 B' U B D2 B' (8 HTM) |
Drop and Catch |
| (URB UBL RDB) |
U'
L' D L U L' D' L (8 HTM) |
Drop and Catch |
| (URB UBL BRD) |
R'
B L B' R B L' B' (8 HTM) |
Direct Insert |
| (URB UBL BDL) |
U'
B D B' U B D' B' (8 HTM) |
Direct Insert |
| (URB UBL LFU) |
B2
D' B U2 B' D B U2 B (9 HTM) |
A9 |
| (URB UBL LBD) |
U'
L' D' L U L' D L (8 HTM) |
Direct Insert |
| (URB UBL LDF) |
B'
D2 B U B' D2 B U' (8 HTM) |
Drop and Catch |
| (URB UBL DFL) |
L2
D R2 D' L2 D R2 D' (8 HTM) |
Direct Insert |
| (URB UBL DRF) |
R2
B L B' R2 B L' B' (8 HTM) |
Direct Insert |
| (URB UBL DLB) |
D
L2 D R2 D' L2 D R2 D2 (9 HTM) |
A9 |
| (URB UBL DBR) |
D2
L2 D R2 D' L2 D R2 D (9 HTM) |
A9 |
| (URB ULF UBL) |
L2
B2 L' F' L B2 L' F L' (9 HTM) |
A9 |
| (URB ULF UFR) |
R
B' R F2 R' B R F2 R2 (9 HTM) |
A9 |
| (URB ULF FRU) |
L2
B2 L' F2 L B2 L' F2 L' (9 HTM) |
A9 |
| (URB ULF FLD) |
U2
F' D' F U2 F' D F (8 HTM) |
Direct Insert |
| (URB ULF FDR) |
B'
D B U2 B' D' B U2 (8 HTM) |
Drop and Catch |
| (URB ULF RUF) |
B'
R2 B' L2 B R2 B' L2 B2 (9 HTM) |
A9 |
| (URB ULF RFD) |
U2
L D' L' U2 L D L' (8 HTM) |
Drop and Catch |
| (URB ULF RDB) |
U2
F' D2 F U2 F' D2 F (8 HTM) |
Drop and Catch |
| (URB ULF BLU) |
R
B2 R F2 R' B2 R F2 R2 (9 HTM) |
A9 |
| (URB ULF BRD) |
U2
L D2 L' U2 L D2 L' (8 HTM) |
Drop and Catch |
| (URB ULF BDL) |
U2
F' D F U2 F' D' F (8 HTM) |
Drop and Catch |
| (URB ULF LUB) |
F2
R2 F L2 F' R2 F L2 F (9 HTM) |
A9 |
| (URB ULF LBD) |
R
D' R' U2 R D R' U2 (8 HTM) |
Drop and Catch |
| (URB ULF LDF) |
U2
L D L' U2 L D' L' (8 HTM) |
Direct Insert |
| (URB ULF DFL) |
R
U2 R' U' L2 U R U' L2 U' R' (11 HTM) |
Columns |
| (URB ULF DRF) |
U
F2 U' F2 U' R2 U F2 U F2 U' R2 (12 HTM) |
Per Special |
| (URB ULF DLB) |
U2
F U2 F' L2 F' L2 F L2 B L2 B' (12 HTM) |
Per Special |
| (URB ULF DBR) |
R
B R2 B L' B' R2 B L B2 R' (11 HTM) |
Columns |
| (URB UFR UBL) |
R'
F R' B2 R F' R' B2 R2 (9 HTM) |
A9 |
| (URB UFR ULF) |
R2
F2 R' B' R F2 R' B R' (9 HTM) |
A9 |
| (URB UFR FUL) |
R2
D R' U2 R D' R' U2 R' (9 HTM) |
A9 |
| (URB UFR FLD) |
R
D2 R' U' R D2 R' U (8 HTM) |
Drop and Catch |
| (URB UFR FDR) |
U
F D F' U' F D' F' (8 HTM) |
Direct Insert |
| (URB UFR RFD) |
U
R' D' R U' R' D R (8 HTM) |
Direct Insert |
| (URB UFR RDB) |
R
D R' U' R D' R' U (8 HTM) |
Direct Insert |
| (URB UFR BLU) |
R'
U2 R' D' R U2 R' D R2 (9 HTM) |
A9 |
| (URB UFR BRD) |
U
F D' F' U' F D F' (8 HTM) |
Drop and Catch |
| (URB UFR BDL) |
U
R' D2 R U' R' D2 R (8 HTM) |
Drop and Catch |
| (URB UFR LUB) |
L
F' L' B L F L' B' (8 HTM) |
Direct Insert |
| (URB UFR LFU) |
R
B R' F R B' R' F' (8 HTM) |
Direct Insert |
| (URB UFR LBD) |
U
F D2 F' U' F D2 F' (8 HTM) |
Drop and Catch |
| (URB UFR LDF) |
U
R' D R U' R' D' R (8 HTM) |
Drop and Catch |
| (URB UFR DFL) |
R
B R' F2 R B' R' F2 (8 HTM) |
Direct Insert |
| (URB UFR DRF) |
D'
F2 D' B2 D F2 D' B2 D2 (9 HTM) |
A9 |
| (URB UFR DLB) |
D
F2 D' B2 D F2 D' B2 (8 HTM) |
Toss Up |
| (URB UFR DBR) |
D2
F2 D' B2 D F2 D' B2 D' (9 HTM) |
A9 |
| (URB FUL UBL) |
F
R' F' L F R F' L' (8 HTM) |
Drop and Catch |
| (URB FUL UFR) |
R
U2 R D R' U2 R D' R2 (9 HTM) |
A9 |
| (URB FUL FRU) |
U
L U' R' U L' U' R (8 HTM) |
Direct Insert |
| (URB FUL FLD) |
F'
L B2 L' F L B2 L' (8 HTM) |
Drop and Catch |
| (URB FUL FDR) |
F2
D B' D' F2 D B D' (8 HTM) |
Drop and Catch |
| (URB FUL RUF) |
F2
D' F U2 F' D F U2 F (9 HTM) |
A9 |
| (URB FUL RFD) |
U
R' B2 R F R' B2 R F' U' (10 HTM) |
Orthogonals |
| (URB FUL RDB) |
D'
F2 D B' D' F2 D B (8 HTM) |
Toss Up |
| (URB FUL BLU) |
F
R' U2 R F' R' F U2 F' R (10 HTM) |
Cyclic Shift |
| (URB FUL BRD) |
B'
L2 B R B' L2 B R' (8 HTM) |
Drop and Catch |
| (URB FUL BDL) |
F
R' F' L2 F R F' L2 (8 HTM) |
Drop and Catch |
| (URB FUL LUB) |
L
F L' B L F' L' B' (8 HTM) |
Direct Insert |
| (URB FUL LBD) |
U
L' B R2 B' L B R2 B' U' (10 HTM) |
Orthogonals |
| (URB FUL LDF) |
D
F2 D B' D' F2 D B D2 (9 HTM) |
A9 |
| (URB FUL DFL) |
F
R' F' L' F R F' L (8 HTM) |
Drop and Catch |
| (URB FUL DRF) |
D'
L D R2 D' L' D R2 (8 HTM) |
Drop and Catch |
| (URB FUL DLB) |
B2
R' F R B2 R' F' R (8 HTM) |
Drop and Catch |
| (URB FUL DBR) |
D2
L D R2 D' L' D R2 D (9 HTM) |
A9 |
| (URB FRU UBL) |
R'
F' L F R F' L' F (8 HTM) |
Drop and Catch |
| (URB FRU ULF) |
L
F2 L B2 L' F2 L B2 L2 (9 HTM) |
A9 |
| (URB FRU FUL) |
U'
B' U F U' B U F' (8 HTM) |
Direct Insert |
| (URB FRU FLD) |
U'
B' U F2 U' B U F2 (8 HTM) |
Direct Insert |
| (URB FRU FDR) |
U'
B' U F' U' B U F (8 HTM) |
Direct Insert |
| (URB FRU RFD) |
U2
L' U R2 U' L U R2 U (9 HTM) |
A9 |
| (URB FRU RDB) |
D'
F D B' D' F' D B (8 HTM) |
Drop and Catch |
| (URB FRU BLU) |
L2
F2 L B2 L' F2 L B2 L (9 HTM) |
A9 |
| (URB FRU BRD) |
U
F' U B2 U' F U B2 U2 (9 HTM) |
A9 |
| (URB FRU BDL) |
U'
L U R U' L' U R' (8 HTM) |
Drop and Catch |
| (URB FRU LUB) |
U'
L' U R U' L U R' (8 HTM) |
Direct Insert |
| (URB FRU LFU) |
R'
F' L' F R F' L F (8 HTM) |
Direct Insert |
| (URB FRU LBD) |
R'
U L2 U' R U L2 U' (8 HTM) |
Drop and Catch |
| (URB FRU LDF) |
R'
U L' U' R U L U' (8 HTM) |
Drop and Catch |
| (URB FRU DFL) |
U'
L2 U R U' L2 U R' (8 HTM) |
Drop and Catch |
| (URB FRU DRF) |
U2
F2 U B U' F2 U B' U (9 HTM) |
A9 |
| (URB FRU DLB) |
L'
F2 L B2 L' F2 L B2 (8 HTM) |
Toss Up |
| (URB FRU DBR) |
U
R2 U L U' R2 U L' U2 (9 HTM) |
A9 |
| (URB FLD UBL) |
U
R D2 R' U' R D2 R' (8 HTM) |
Drop and Catch |
| (URB FLD ULF) |
U2
R D2 R' U2 R D2 R' (8 HTM) |
Drop and Catch |
| (URB FLD UFR) |
U'
R D2 R' U R D2 R' (8 HTM) |
Drop and Catch |
| (URB FLD FUL) |
L
B2 L' F' L B2 L' F (8 HTM) |
Drop and Catch |
| (URB FLD FRU) |
F2
U' B' U F2 U' B U (8 HTM) |
Direct Insert |
| (URB FLD FDR) |
F'
D B' D' F D B D' (8 HTM) |
Drop and Catch |
| (URB FLD RUF) |
B'
R2 B' L B R2 B' L' B2 (9 HTM) |
A9 |
| (URB FLD RFD) |
D
F' U F D' F' U' F (8 HTM) |
Toss Up |
| (URB FLD RDB) |
B
R' F2 R B' R' F2 R (8 HTM) |
Drop and Catch |
| (URB FLD BLU) |
U
B2 D' B' U2 B D B' U2 B' U' (11 HTM) |
Columns |
| (URB FLD BRD) |
D2
B U B' D2 B U' B' (8 HTM) |
Direct Insert |
| (URB FLD BDL) |
F2
R' F' L2 F R F' L2 F' (9 HTM) |
A9 |
| (URB FLD LUB) |
U'
F U B U' F' U B' (8 HTM) |
Drop and Catch |
| (URB FLD LFU) |
D2
R D L2 D' R' D L2 D (9 HTM) |
A9 |
| (URB FLD LBD) |
L'
U2 L D L' U2 L D' (8 HTM) |
Toss Up |
| (URB FLD DRF) |
U
L' U F2 U' L U L' F2 L U2 (11 HTM) |
Columns |
| (URB FLD DLB) |
D
F D' B2 D F' D' B2 (8 HTM) |
Direct Insert |
| (URB FLD DBR) |
U
R2 U L' U' R2 U L U2 (9 HTM) |
A9 |
| (URB FDR UBL) |
U
B' D B U' B' D' B (8 HTM) |
Drop and Catch |
| (URB FDR ULF) |
U2
B' D B U2 B' D' B (8 HTM) |
Drop and Catch |
| (URB FDR UFR) |
U'
B' D B U B' D' B (8 HTM) |
Drop and Catch |
| (URB FDR FUL) |
D
B' D' F2 D B D' F2 (8 HTM) |
Drop and Catch |
| (URB FDR FRU) |
F'
U' B' U F U' B U (8 HTM) |
Direct Insert |
| (URB FDR FLD) |
F
L B2 L' F' L B2 L' (8 HTM) |
Drop and Catch |
| (URB FDR RUF) |
D
B' R2 B D' B' D R2 D' B (10 HTM) |
Cyclic Shift |
| (URB FDR RDB) |
R
F R' B' R F' R' B (8 HTM) |
Direct Insert |
| (URB FDR BLU) |
L2
F L B2 L' F' L B2 L (9 HTM) |
A9 |
| (URB FDR BRD) |
B
R2 B L B' R2 B L' B2 (9 HTM) |
A9 |
| (URB FDR BDL) |
D2
L U' L' D2 L U L' (8 HTM) |
Toss Up |
| (URB FDR LUB) |
U'
F2 U B U' F2 U B' (8 HTM) |
Drop and Catch |
| (URB FDR LFU) |
U
R' F L2 F' R F L2 F' U' (10 HTM) |
Orthogonals |
| (URB FDR LBD) |
U
F' L2 F R F' L2 F R' U' (10 HTM) |
Orthogonals |
| (URB FDR LDF) |
D'
F U2 F' D F U2 F' (8 HTM) |
Toss Up |
| (URB FDR DFL) |
L
D2 L U' L' D2 L U L2 (9 HTM) |
A9 |
| (URB FDR DLB) |
L'
F L B2 L' F' L B2 (8 HTM) |
Drop and Catch |
| (URB FDR DBR) |
D2
L' D R2 D' L D R2 D (9 HTM) |
A9 |
| (URB RUF UBL) |
B2
D B' U2 B D' B' U2 B' (9 HTM) |
A9 |
| (URB RUF ULF) |
B2
L2 B R2 B' L2 B R2 B (9 HTM) |
A9 |
| (URB RUF FUL) |
F'
U2 F' D' F U2 F' D F2 (9 HTM) |
A9 |
| (URB RUF FLD) |
B2
L B R2 B' L' B R2 B (9 HTM) |
A9 |
| (URB RUF FDR) |
B'
D R2 D' B D B' R2 B D' (10 HTM) |
Cyclic Shift |
| (URB RUF RFD) |
F
R2 F L F' R2 F L' F2 (9 HTM) |
A9 |
| (URB RUF RDB) |
F'
U2 F' D2 F U2 F' D2 F2 (9 HTM) |
A9 |
| (URB RUF BLU) |
L
F' U2 F L' F' L U2 L' F (10 HTM) |
Cyclic Shift |
| (URB RUF BRD) |
B2
L' B R2 B' L B R2 B (9 HTM) |
A9 |
| (URB RUF BDL) |
F'
U2 F' D F U2 F' D' F2 (9 HTM) |
A9 |
| (URB RUF LUB) |
F
R2 F L2 F' R2 F L2 F2 (9 HTM) |
A9 |
| (URB RUF LFU) |
B
L' U2 L B' L' B U2 B' L (10 HTM) |
Cyclic Shift |
| (URB RUF LBD) |
F
R2 F L' F' R2 F L F2 (9 HTM) |
A9 |
| (URB RUF LDF) |
U2
B' U2 B' D2 B U2 B' D2 B2 U2 (11 HTM) |
Columns |
| (URB RUF DFL) |
B2
D' B' U2 B D B' U2 B' (9 HTM) |
A9 |
| (URB RUF DRF) |
B2
D2 B' U2 B D2 B' U2 B' (9 HTM) |
A9 |
| (URB RUF DLB) |
U
R2 D' R' U2 R D R' U2 R' U' (11 HTM) |
Columns |
| (URB RUF DBR) |
D'
F R2 F' D F D' R2 D F' (10 HTM) |
Cyclic Shift |
| (URB RFD UBL) |
B
D2 B' U' B D2 B' U (8 HTM) |
Drop and Catch |
| (URB RFD ULF) |
L
D' L' U2 L D L' U2 (8 HTM) |
Drop and Catch |
| (URB RFD UFR) |
R'
D' R U R' D R U' (8 HTM) |
Direct Insert |
| (URB RFD FUL) |
U
F R' B2 R F' R' B2 R U' (10 HTM) |
Orthogonals |
| (URB RFD FRU) |
U'
R2 U' L' U R2 U' L U2 (9 HTM) |
A9 |
| (URB RFD FLD) |
F'
U F D F' U' F D' (8 HTM) |
Toss Up |
| (URB RFD RUF) |
F2
L F' R2 F L' F' R2 F' (9 HTM) |
A9 |
| (URB RFD RDB) |
D'
F' D B' D' F D B (8 HTM) |
Direct Insert |
| (URB RFD BLU) |
L2
D' L' U2 L D L' U2 L' (9 HTM) |
A9 |
| (URB RFD BRD) |
F'
U F D' F' U' F D (8 HTM) |
Toss Up |
| (URB RFD BDL) |
U
R B2 R' F' R B2 R' F U' (10 HTM) |
Orthogonals |
| (URB RFD LUB) |
L
F2 L' B L F2 L' B' (8 HTM) |
Drop and Catch |
| (URB RFD LFU) |
F2
L' B L F2 L' B' L (8 HTM) |
Drop and Catch |
| (URB RFD LBD) |
F'
U F D2 F' U' F D2 (8 HTM) |
Toss Up |
| (URB RFD LDF) |
L'
F2 L' B L F2 L' B' L2 (9 HTM) |
A9 |
| (URB RFD DFL) |
F
D' B2 D F' D' B2 D (8 HTM) |
Drop and Catch |
| (URB RFD DLB) |
B2
U F' U' B2 U F U' (8 HTM) |
Drop and Catch |
| (URB RFD DBR) |
F'
U R2 U' F U F' R2 F U' (10 HTM) |
Cyclic Shift |
| (URB RDB UBL) |
U
R D R' U' R D' R' (8 HTM) |
Direct Insert |
| (URB RDB ULF) |
U2
R D R' U2 R D' R' (8 HTM) |
Direct Insert |
| (URB RDB UFR) |
U'
R D R' U R D' R' (8 HTM) |
Direct Insert |
| (URB RDB FUL) |
R'
F R B R' F' R B' (8 HTM) |
Drop and Catch |
| (URB RDB FRU) |
U
F U' B U F' U' B' (8 HTM) |
Direct Insert |
| (URB RDB FLD) |
R'
F2 R B R' F2 R B' (8 HTM) |
Drop and Catch |
| (URB RDB FDR) |
R'
U' R D R' U R D' (8 HTM) |
Direct Insert |
| (URB RDB RUF) |
F2
D2 F U2 F' D2 F U2 F (9 HTM) |
A9 |
| (URB RDB RFD) |
U
F' U' B U F U' B' (8 HTM) |
Toss Up |
| (URB RDB BLU) |
R
B2 R F R' B2 R F' R2 (9 HTM) |
A9 |
| (URB RDB BDL) |
R'
U' R D' R' U R D (8 HTM) |
Direct Insert |
| (URB RDB LUB) |
U2
R2 U L U' R2 U L' U (9 HTM) |
A9 |
| (URB RDB LFU) |
B'
R F2 R' B R F2 R' (8 HTM) |
Drop and Catch |
| (URB RDB LBD) |
R2
F' R B2 R' F R B2 R (9 HTM) |
A9 |
| (URB RDB LDF) |
R'
U' R D2 R' U R D2 (8 HTM) |
Direct Insert |
| (URB RDB DFL) |
U
F2 U' B U F2 U' B' (8 HTM) |
Drop and Catch |
| (URB RDB DRF) |
F
D2 F U2 F' D2 F U2 F2 (9 HTM) |
A9 |
| (URB RDB DLB) |
R2
D2 R U R' D2 R U' R (9 HTM) |
A9 |
| (URB BLU ULF) |
R2
F2 R' B2 R F2 R' B2 R' (9 HTM) |
A9 |
| (URB BLU UFR) |
R2
D' R U2 R' D R U2 R (9 HTM) |
A9 |
| (URB BLU FUL) |
R'
F U2 F' R F R' U2 R F' (10 HTM) |
Cyclic Shift |
| (URB BLU FRU) |
L'
B2 L' F2 L B2 L' F2 L2 (9 HTM) |
A9 |
| (URB BLU FLD) |
U
B U2 B D' B' U2 B D B2 U' (11 HTM) |
Columns |
| (URB BLU FDR) |
L'
B2 L' F L B2 L' F' L2 (9 HTM) |
A9 |
| (URB BLU RUF) |
F'
L U2 L' F L F' U2 F L' (10 HTM) |
Cyclic Shift |
| (URB BLU RFD) |
L
U2 L D' L' U2 L D L2 (9 HTM) |
A9 |
| (URB BLU RDB) |
R2
F R' B2 R F' R' B2 R' (9 HTM) |
A9 |
| (URB BLU BRD) |
L
U2 L D2 L' U2 L D2 L2 (9 HTM) |
A9 |
| (URB BLU BDL) |
L'
B2 L' F' L B2 L' F L2 (9 HTM) |
A9 |
| (URB BLU LFU) |
L
U2 L D L' U2 L D' L2 (9 HTM) |
A9 |
| (URB BLU LBD) |
R
D' B2 D R' D' R B2 R' D (10 HTM) |
Cyclic Shift |
| (URB BLU LDF) |
R2
F' R' B2 R F R' B2 R' (9 HTM) |
A9 |
| (URB BLU DFL) |
R2
D R U2 R' D' R U2 R (9 HTM) |
A9 |
| (URB BLU DRF) |
U2
L2 D2 L U2 L' D2 L U2 L U2 (11 HTM) |
Columns |
| (URB BLU DLB) |
R2
D2 R U2 R' D2 R U2 R (9 HTM) |
A9 |
| (URB BLU DBR) |
D
L' B2 L D' L' D B2 D' L (10 HTM) |
Cyclic Shift |
| (URB BRD UBL) |
U
B' D' B U' B' D B (8 HTM) |
Direct Insert |
| (URB BRD ULF) |
U2
B' D' B U2 B' D B (8 HTM) |
Direct Insert |
| (URB BRD UFR) |
U'
B' D' B U B' D B (8 HTM) |
Direct Insert |
| (URB BRD FUL) |
R
B' L2 B R' B' L2 B (8 HTM) |
Drop and Catch |
| (URB BRD FRU) |
U2
B2 U' F' U B2 U' F U' (9 HTM) |
A9 |
| (URB BRD FLD) |
D2
L' U2 L D2 L' U2 L (8 HTM) |
Toss Up |
| (URB BRD FDR) |
B2
L B' R2 B L' B' R2 B' (9 HTM) |
A9 |
| (URB BRD RUF) |
B'
R2 B' L' B R2 B' L B2 (9 HTM) |
A9 |
| (URB BRD RFD) |
D'
F' U F D F' U' F (8 HTM) |
Toss Up |
| (URB BRD BLU) |
L2
D2 L' U2 L D2 L' U2 L' (9 HTM) |
A9 |
| (URB BRD BDL) |
U'
L U R' U' L' U R (8 HTM) |
Drop and Catch |
| (URB BRD LUB) |
U'
L' U R' U' L U R (8 HTM) |
Direct Insert |
| (URB BRD LFU) |
R
D L2 D' R' D L2 D' (8 HTM) |
Drop and Catch |
| (URB BRD LBD) |
R
B' L' B R' B' L B (8 HTM) |
Direct Insert |
| (URB BRD LDF) |
B
L2 B' R' B L2 B' R (8 HTM) |
Drop and Catch |
| (URB BRD DFL) |
U'
L2 U R' U' L2 U R (8 HTM) |
Drop and Catch |
| (URB BRD DRF) |
D'
F D' B2 D F' D' B2 D2 (9 HTM) |
A9 |
| (URB BRD DLB) |
L'
D2 L' U2 L D2 L' U2 L2 (9 HTM) |
A9 |
| (URB BDL UBL) |
L
B' R' B L' B' R B (8 HTM) |
Direct Insert |
| (URB BDL ULF) |
F'
D F U2 F' D' F U2 (8 HTM) |
Drop and Catch |
| (URB BDL UFR) |
R'
D2 R U R' D2 R U' (8 HTM) |
Drop and Catch |
| (URB BDL FUL) |
L2
F R' F' L2 F R F' (8 HTM) |
Drop and Catch |
| (URB BDL FRU) |
R
U' L U R' U' L' U (8 HTM) |
Drop and Catch |
| (URB BDL FLD) |
F
L2 F R' F' L2 F R F2 (9 HTM) |
A9 |
| (URB BDL FDR) |
L
U' L' D2 L U L' D2 (8 HTM) |
Toss Up |
| (URB BDL RUF) |
F2
D F U2 F' D' F U2 F (9 HTM) |
A9 |
| (URB BDL RFD) |
U
F' R B2 R' F R B2 R' U' (10 HTM) |
Orthogonals |
| (URB BDL RDB) |
D'
R' U' R D R' U R (8 HTM) |
Direct Insert |
| (URB BDL BLU) |
L2
F' L B2 L' F L B2 L (9 HTM) |
A9 |
| (URB BDL BRD) |
R'
U' L U R U' L' U (8 HTM) |
Drop and Catch |
| (URB BDL LUB) |
U
B2 U F U' B2 U F' U2 (9 HTM) |
A9 |
| (URB BDL LFU) |
U
L' F2 L B L' F2 L B' U' (10 HTM) |
Orthogonals |
| (URB BDL LDF) |
D
F U2 F' D' F U2 F' (8 HTM) |
Toss Up |
| (URB BDL DFL) |
L'
D R2 D' L D R2 D' (8 HTM) |
Drop and Catch |
| (URB BDL DRF) |
R2
U' L U R2 U' L' U (8 HTM) |
Drop and Catch |
| (URB BDL DBR) |
L
U' B2 U L' U' L B2 L' U (10 HTM) |
Cyclic Shift |
| (URB LUB ULF) |
F'
L2 F' R2 F L2 F' R2 F2 (9 HTM) |
A9 |
| (URB LUB UFR) |
R'
F' R B' R' F R B (8 HTM) |
Direct Insert |
| (URB LUB FUL) |
R'
F R B' R' F' R B (8 HTM) |
Toss Up |
| (URB LUB FRU) |
U
F U' B' U F' U' B (8 HTM) |
Direct Insert |
| (URB LUB FLD) |
R'
F2 R B' R' F2 R B (8 HTM) |
Drop and Catch |
| (URB LUB FDR) |
B
U' F2 U B' U' F2 U (8 HTM) |
Drop and Catch |
| (URB LUB RUF) |
F2
L2 F' R2 F L2 F' R2 F' (9 HTM) |
A9 |
| (URB LUB RFD) |
U
F' U' B' U F U' B (8 HTM) |
Drop and Catch |
| (URB LUB RDB) |
U'
L U' R2 U L' U' R2 U2 (9 HTM) |
A9 |
| (URB LUB BRD) |
R'
U' L' U R U' L U (8 HTM) |
Direct Insert |
| (URB LUB BDL) |
U2
F U' B2 U F' U' B2 U' (9 HTM) |
A9 |
| (URB LUB LFU) |
U
R U' L' U R' U' L (8 HTM) |
Direct Insert |
| (URB LUB LBD) |
U
R U' L U R' U' L' (8 HTM) |
Direct Insert |
| (URB LUB LDF) |
U
R U' L2 U R' U' L2 (8 HTM) |
Direct Insert |
| (URB LUB DFL) |
U
F2 U' B' U F2 U' B (8 HTM) |
Drop and Catch |
| (URB LUB DRF) |
R2
U' L' U R2 U' L U (8 HTM) |
Direct Insert |
| (URB LUB DLB) |
U2
L2 U' R' U L2 U' R U' (9 HTM) |
A9 |
| (URB LUB DBR) |
U'
B2 U' F' U B2 U' F U2 (9 HTM) |
A9 |
| (URB LFU UBL) |
B'
U2 B' D' B U2 B' D B2 (9 HTM) |
A9 |
| (URB LFU UFR) |
F
R B R' F' R B' R' (8 HTM) |
Direct Insert |
| (URB LFU FRU) |
R
B L' B' R' B L B' (8 HTM) |
Drop and Catch |
| (URB LFU FLD) |
D'
L2 D' R D L2 D' R' D2 (9 HTM) |
A9 |
| (URB LFU FDR) |
U
F L2 F' R' F L2 F' R U' (10 HTM) |
Orthogonals |
| (URB LFU RUF) |
L'
B U2 B' L B L' U2 L B' (10 HTM) |
Cyclic Shift |
| (URB LFU RFD) |
L'
B L F2 L' B' L F2 (8 HTM) |
Drop and Catch |
| (URB LFU RDB) |
R
F2 R' B' R F2 R' B (8 HTM) |
Drop and Catch |
| (URB LFU BLU) |
L2
D L' U2 L D' L' U2 L' (9 HTM) |
A9 |
| (URB LFU BRD) |
R'
B L' B' R B L B' (8 HTM) |
Drop and Catch |
| (URB LFU BDL) |
U
B L' F2 L B' L' F2 L U' (10 HTM) |
Orthogonals |
| (URB LFU LUB) |
U'
F' U B U' F U B' (8 HTM) |
Direct Insert |
| (URB LFU LBD) |
L2
D' R D L2 D' R' D (8 HTM) |
Drop and Catch |
| (URB LFU LDF) |
L
F' R2 F L' F' R2 F (8 HTM) |
Drop and Catch |
| (URB LFU DFL) |
F'
D' B2 D F D' B2 D (8 HTM) |
Drop and Catch |
| (URB LFU DRF) |
R2
B L' B' R2 B L B' (8 HTM) |
Drop and Catch |
| (URB LFU DLB) |
D
F' D' B2 D F D' B2 (8 HTM) |
Drop and Catch |
| (URB LFU DBR) |
D2
F' D' B2 D F D' B2 D' (9 HTM) |
A9 |
| (URB LBD UBL) |
U
R D' R' U' R D R' (8 HTM) |
Drop and Catch |
| (URB LBD ULF) |
U2
R D' R' U2 R D R' (8 HTM) |
Drop and Catch |
| (URB LBD UFR) |
U'
R D' R' U R D R' (8 HTM) |
Drop and Catch |
| (URB LBD FUL) |
U
B R2 B' L' B R2 B' L U' (10 HTM) |
Orthogonals |
| (URB LBD FRU) |
U
L2 U' R' U L2 U' R (8 HTM) |
Drop and Catch |
| (URB LBD FLD) |
D
L' U2 L D' L' U2 L (8 HTM) |
Toss Up |
| (URB LBD FDR) |
U
R F' L2 F R' F' L2 F U' (10 HTM) |
Orthogonals |
| (URB LBD RUF) |
F2
L' F' R2 F L F' R2 F' (9 HTM) |
A9 |
| (URB LBD RFD) |
D2
F' U F D2 F' U' F (8 HTM) |
Toss Up |
| (URB LBD RDB) |
R'
B2 R' F' R B2 R' F R2 (9 HTM) |
A9 |
| (URB LBD BLU) |
D'
R B2 R' D R D' B2 D R' (10 HTM) |
Cyclic Shift |
| (URB LBD BRD) |
D'
B U B' D B U' B' (8 HTM) |
Direct Insert |
| (URB LBD LUB) |
D'
R D L' D' R' D L (8 HTM) |
Drop and Catch |
| (URB LBD LFU) |
D'
R D L2 D' R' D L2 (8 HTM) |
Drop and Catch |
| (URB LBD LDF) |
D'
R D L D' R' D L' (8 HTM) |
Drop and Catch |
| (URB LBD DFL) |
F'
D2 F' U F D2 F' U' F2 (9 HTM) |
A9 |
| (URB LBD DRF) |
F
L' F' R2 F L F' R2 (8 HTM) |
Drop and Catch |
| (URB LBD DBR) |
D2
F D' B2 D F' D' B2 D' (9 HTM) |
A9 |
| (URB LDF UBL) |
U
B' D2 B U' B' D2 B (8 HTM) |
Drop and Catch |
| (URB LDF ULF) |
U2
B' D2 B U2 B' D2 B (8 HTM) |
Drop and Catch |
| (URB LDF UFR) |
U'
B' D2 B U B' D2 B (8 HTM) |
Drop and Catch |
| (URB LDF FUL) |
D2
B' D' F2 D B D' F2 D' (9 HTM) |
A9 |
| (URB LDF FRU) |
U
L' U' R' U L U' R (8 HTM) |
Drop and Catch |
| (URB LDF FDR) |
F
U2 F' D' F U2 F' D (8 HTM) |
Toss Up |
| (URB LDF RUF) |
U2
B2 D2 B U2 B' D2 B U2 B U2 (11 HTM) |
Columns |
| (URB LDF RFD) |
L2
B L F2 L' B' L F2 L (9 HTM) |
A9 |
| (URB LDF RDB) |
F
U2 F' D2 F U2 F' D2 (8 HTM) |
Toss Up |
| (URB LDF BLU) |
R
B2 R F' R' B2 R F R2 (9 HTM) |
A9 |
| (URB LDF BRD) |
R'
B L2 B' R B L2 B' (8 HTM) |
Drop and Catch |
| (URB LDF BDL) |
F
U2 F' D F U2 F' D' (8 HTM) |
Toss Up |
| (URB LDF LUB) |
F'
R2 F L2 F' R2 F L2 (8 HTM) |
Toss Up |
| (URB LDF LFU) |
F'
R2 F L F' R2 F L' (8 HTM) |
Drop and Catch |
| (URB LDF LBD) |
F'
R2 F L' F' R2 F L (8 HTM) |
Drop and Catch |
| (URB LDF DRF) |
R2
B L2 B' R2 B L2 B' (8 HTM) |
Drop and Catch |
| (URB LDF DLB) |
U
B D2 B U' B' D2 B U B2 U' (11 HTM) |
Columns |
| (URB LDF DBR) |
U'
B2 U' F U B2 U' F' U2 (9 HTM) |
A9 |
| (URB DFL UBL) |
D
R2 D' L2 D R2 D' L2 (8 HTM) |
Toss Up |
| (URB DFL ULF) |
R
U L2 U R' U' L2 U R U2 R' (11 HTM) |
Columns |
| (URB DFL UFR) |
F2
R B R' F2 R B' R' (8 HTM) |
Direct Insert |
| (URB DFL FUL) |
D
R2 D' L D R2 D' L' (8 HTM) |
Drop and Catch |
| (URB DFL FRU) |
R
U' L2 U R' U' L2 U (8 HTM) |
Drop and Catch |
| (URB DFL FDR) |
L2
U' L' D2 L U L' D2 L' (9 HTM) |
A9 |
| (URB DFL RUF) |
B
U2 B D' B' U2 B D B2 (9 HTM) |
A9 |
| (URB DFL RFD) |
D'
B2 D F D' B2 D F' (8 HTM) |
Drop and Catch |
| (URB DFL RDB) |
R
F' R' B' R F R' B (8 HTM) |
Drop and Catch |
| (URB DFL BLU) |
R'
U2 R' D R U2 R' D' R2 (9 HTM) |
A9 |
| (URB DFL BRD) |
R'
U' L2 U R U' L2 U (8 HTM) |
Drop and Catch |
| (URB DFL BDL) |
D
R2 D' L' D R2 D' L (8 HTM) |
Drop and Catch |
| (URB DFL LUB) |
B'
U F2 U' B U F2 U' (8 HTM) |
Drop and Catch |
| (URB DFL LFU) |
F
L' B L F' L' B' L (8 HTM) |
Drop and Catch |
| (URB DFL LBD) |
F2
U F D2 F' U' F D2 F (9 HTM) |
A9 |
| (URB DFL DRF) |
R2
U' L2 U R2 U' L2 U (8 HTM) |
Toss Up |
| (URB DFL DLB) |
L'
F' L B2 L' F L B2 (8 HTM) |
Direct Insert |
| (URB DFL DBR) |
R2
U2 L2 U R2 U' L2 U R2 U R2 (11 HTM) |
Columns |
| (URB DRF UBL) |
R2
D' L2 D R2 D'L2 D (8 HTM) |
Toss Up |
| (URB DRF ULF) |
U2
F R2 F' R2 F' U2 F R2 F R2 F' (12 HTM) |
Per Special |
| (URB DRF UFR) |
D2
B2 D F2 D' B2 D F2 D (9 HTM) |
A9 |
| (URB DRF FUL) |
R2
D' L D R2 D' L' D (8 HTM) |
Drop and Catch |
| (URB DRF FRU) |
U'
B U' F2 U B' U' F2 U2 (9 HTM) |
A9 |
| (URB DRF FLD) |
U2
R2 U2 R D2 R' U2 R D2 R U2 (11 HTM) |
Columns |
| (URB DRF RUF) |
B
U2 B D2 B' U2 B D2 B2 (9 HTM) |
A9 |
| (URB DRF RDB) |
F2
U2 F' D2 F U2 F' D2 F' (9 HTM) |
A9 |
| (URB DRF BLU) |
U2
L' U2 L' D2 L U2 L' D2 L2 U2 (11 HTM) |
Columns |
| (URB DRF BRD) |
D2
B2 D F D' B2 D F' D (9 HTM) |
A9 |
| (URB DRF BDL) |
U'
L U R2 U' L' U R2 (8 HTM) |
Drop and Catch |
| (URB DRF LUB) |
U'
L' U R2 U' L U R2 (8 HTM) |
Direct Insert |
| (URB DRF LFU) |
B
L' B' R2 B L B' R2 (8 HTM) |
Drop and Catch |
| (URB DRF LBD) |
R2
F L' F' R2 F L F' (8 HTM) |
Drop and Catch |
| (URB DRF LDF) |
R2
D' L' D R2 D' L D (8 HTM) |
Direct Insert |
| (URB DRF DFL) |
U'
L2 U R2 U' L2 U R2 (8 HTM) |
Toss Up |
| (URB DRF DLB) |
U
R2 U' B2 U' B2 U B2 D B2 D' R2 (12 HTM) |
Per Special |
| (URB DRF DBR) |
U'
B2 U' F2 U B2 U' F2 U2 (9 HTM) |
A9 |
| (URB DLB UBL) |
D2
R2 D' L2 D R2 D' L2 D' (9 HTM) |
A9 |
| (URB DLB ULF) |
U
B2 U' B2 U' L2 U B2 U B2 U' L2 (12 HTM) |
Per Special |
| (URB DLB UFR) |
R'
F' R B2 R' F R B2 (8 HTM) |
Direct Insert |
| (URB DLB FUL) |
R'
F R B2 R' F' R B2 (8 HTM) |
Drop and Catch |
| (URB DLB FRU) |
U
F U' B2 U F' U' B2 (8 HTM) |
Direct Insert |
| (URB DLB FLD) |
R'
F2 R B2 R' F2 R B2 (8 HTM) |
Toss Up |
| (URB DLB FDR) |
B2
L' F L B2 L' F' L (8 HTM) |
Drop and Catch |
| (URB DLB RUF) |
U
R U2 R D' R' U2 R D R2 U' (11 HTM) |
Columns |
| (URB DLB RFD) |
U
F' U' B2 U F U' B2 (8 HTM) |
Drop and Catch |
| (URB DLB RDB) |
R'
U R' D2 R U' R' D2 R2 (9 HTM) |
A9 |
| (URB DLB BLU) |
R'
U2 R' D2 R U2 R' D2 R2 (9 HTM) |
A9 |
| (URB DLB BRD) |
L2
U2 L D2 L' U2 L D2 L (9 HTM) |
A9 |
| (URB DLB LUB) |
U
R' U L2 U' R U L2 U2 (9 HTM) |
A9 |
| (URB DLB LFU) |
B2
D F' D' B2 D F D' (8 HTM) |
Drop and Catch |
| (URB DLB LDF) |
U
B2 U' B' D2 B U B' D2 B' U' (11 HTM) |
Columns |
| (URB DLB DFL) |
U
F2 U' B2 U F2 U' B2 (8 HTM) |
Toss Up |
| (URB DLB DRF) |
U'
B2 U R2 U R2 U' R2 D' R2 D B2 (12 HTM) |
Per Special |
| (URB DLB DBR) |
U
R2 U L2 U' R2 U L2 U2 (9 HTM) |
A9 |
| (URB DBR UBL) |
D'
R2 D' L2 D R2 D' L2 D2 (9 HTM) |
A9 |
| (URB DBR ULF) |
R
B2 L' B' R2 B L B' R2 B' R' (11 HTM) |
Columns |
| (URB DBR UFR) |
D
B2 D F2 D' B2 D F2 D2 (9 HTM) |
A9 |
| (URB DBR FUL) |
D'
R2 D' L D R2 D' L' D2 (9 HTM) |
A9 |
| (URB DBR FRU) |
U2
L U' R2 U L' U' R2 U' (9 HTM) |
A9 |
| (URB DBR FLD) |
U2
L' U' R2 U L U' R2 U' (9 HTM) |
A9 |
| (URB DBR FDR) |
D'
R2 D' L' D R2 D' L D2 (9 HTM) |
A9 |
| (URB DBR RUF) |
F
D' R2 D F' D' F R2 F' D (10 HTM) |
Cyclic Shift |
| (URB DBR RFD) |
U
F' R2 F U' F' U R2 U' F (10 HTM) |
Cyclic Shift |
| (URB DBR BLU) |
L'
D B2 D' L D L' B2 L D' (10 HTM) |
Cyclic Shift |
| (URB DBR BDL) |
U'
L B2 L' U L U' B2 U L' (10 HTM) |
Cyclic Shift |
| (URB DBR LUB) |
U2
F' U B2 U' F U B2 U (9 HTM) |
A9 |
| (URB DBR LFU) |
D
B2 D F' D' B2 D F D2 (9 HTM) |
A9 |
| (URB DBR LBD) |
D
B2 D F D' B2 D F' D2 (9 HTM) |
A9 |
| (URB DBR LDF) |
U2
F U B2 U' F' U B2 U (9 HTM) |
A9 |
| (URB DBR DFL) |
R2
U' R2 U' L2 U R2 U' L2 U2 R2 (11 HTM) |
Columns |
| (URB DBR DRF) |
U2
F2 U B2 U' F2 U B2 U (9 HTM) |
A9 |
| (URB DBR DLB) |
U2
L2 U' R2 U L2 U' R2 U' (9 HTM) |
A9 |