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2GLL

The document outlines the 2GLL (Two-Generator Last Layer) algorithms for solving the last layer of a cube, specifically focusing on cases where the corner permutation (CP) is already solved. It includes various algorithm sequences categorized by their efficiency and average move counts, along with specific notation for each algorithm. Prerequisites for understanding these algorithms include knowledge of COLL and familiarity with EPLL and ZBLL subsets.

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44 views3 pages

2GLL

The document outlines the 2GLL (Two-Generator Last Layer) algorithms for solving the last layer of a cube, specifically focusing on cases where the corner permutation (CP) is already solved. It includes various algorithm sequences categorized by their efficiency and average move counts, along with specific notation for each algorithm. Prerequisites for understanding these algorithms include knowledge of COLL and familiarity with EPLL and ZBLL subsets.

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3x3 2GLL [84-28=56] Advanced

2GLL Algorithms (Two-Generator Last Layer)


ZBLL subset where CP is solved. EPLL [4], 2GLL-S [24] are excluded. Prerequisite: COLL.

ETM 9 11 13 15 16 17 19 Sum Avg


# 2 5 10 34 1 1 3 803 14.38

UU
175/12=14.58

UU01-106-106-034-034-U72 UU02-097-098-026-025-U61- UU03-098-097-025-026-U62- UU04-096-095-027-028-U63


16-12-12 15-12-12 15-12-12 15-13-13
(r U R' U') (R U R' U') (r' F U2 (R U R' U R U2' R') U (R U' (R U R' U') (R U' R' U2)2 U (R U2' R' U' R U' R') U'
R F') (R' F R F') U2' R' U' R U' R') R U R' (R U R' U R U2' R')
U (R' U2' R U') (R U2' R'
U2) (R' U' R U) R U' R'
R U R' U R U2' R' U2 R' U' R U' R' R U R' U R U2' R' U' R U2' R' U' R R U' R' U2 R U R' U2 R U R' U R R U2' R' U' R U' R' U R U R' U R
U2 R [T72] U' R' [T62] U' R' [T61] U2' R' [T64]

UU05-095-096-028-027-U65 UU06-099-100-024-023-U64 UU07-100-099-023-024-U66 UU08-103-104-031-032-U69


15-13-13 15-12-12 15-12-12 13-13-13
U (R' U2 R U R' U R) U (R' U R' U2' R2 U R2' U R U' U R U2' R2' U' R2 U' R' U (R' U' R U' R' U2 R2) (U R'
U' R U' R' U2 R) (R U R' U') R U' R' (R' U' R U) R' U R U R U2' R')
R' U2 R U R' U R U' R' U' R U' R' R U R' U R U' R' U R' U' R2 U' R2' R' U' R U' R' U R U' R U R2' U R2 R U2' R' U' R U' R2 U2' R U R' U R
U2 R [T66] U2' R [T63] U2' R' [T65] [T69]

UU09-104-103-032-031-U70 UU10-105-105-033-033-U71 UU11-101-102-030-029-U67 UU12-102-101-029-030-U68


13-13-13 17-12-12 13-13-13 13-13-13
U2 (R U R' U R U2' R2') (U' ( R U R' U') (R U' R U2') R2' U2 (R U R' U) R' U2' R2 U (R' U' R U') R U2' R2' U' R2
R U' R' U2' R) U' (R U R' U') R2 U' R2' R2' U R2 U' R' U' R2' U R
x' R2 D2 (R' U' R D2) R2' D U2 (R U R' U) (R' U' R U) (R' U' R U') (R U R' U')
(R U R' D') x (R U2' R' U2) R' U2' R (R' U2' R U2) R U2 R'
R' U2' R U R' U R2 U2' R' U' R U' R' U R U2 R' U' R U' R U R' U' R' R U R2' U' R2 U' R2' U2' R U' R U' R' U' R2 U R2' U R2 U2' R' U R' U
R' [T70] U' R U R U' R' [T71] R' [U68] R [T67]

TU
176/12=14.67

TU01-034-034-106-106-T72 TU02-025-026-098-097-T61 TU03-026-025-097-098-T62 TU04-027-028-096-095-T64


15-12-12 15-12-12 15-12-12 15-13-13
U' (R U R' U R U2' R') U2 U2 (R U' R' U2) (R U R' U2) U' (R U R' U R U2' R') U' (R (R U2' R' U' R U' R') U (R U
(R' U' R U' R' U2 R) (R U R' U) R U' R' U2' R' U' R U' R') R' U R U2' R')
r U R' U' R U R' U' r' F R F' R' F R R U R' U R U2' R' U R U2' R' U' R R U R' U' (R U' R' U2)2 R U R' R U2' R' U' R U' R' U' R U R' U R
F' [U72] U' R' [U62] [U61] U2' R' [U63]
TU05-028-027-095-096-T66 TU06-024-023-099-100-T63 TU07-023-024-100-099-T65 TU08-031-032-103-104-T69
15-13-13 15-12-12 15-12-12 13-12-13
U2 (R' U2' R U R' U R) U' U' (R U R' U) (R U' R' U) R' U' (R' U' R U') (R' U R U') R R U2' R' U' R U' R2' U2' R
(R' U' R U' R' U2 R) U' R2 U' R2' U2' R U R2' U R2 U2' R' (U R' U R)
R' U2 R U R' U R U R' U' R U' R' R' U2' R2 U R2' U R U' R U R' U' R R U2' R2' U' R2 U' R' U R' U' R U R' U' R U' R' U2 R2 U R' U R U2'
U2 R [U65] U' R' [U64] R' U R [U66] R' [U69]

TU09-032-031-104-103-T70 TU10-033-033-105-105-T71 TU11-029-030-102-101-T67 TU12-030-029-101-102-T68


13-13-13 19-12-12 13-13-13 13-13-13
U2 R' U2' R U R' U R2 U2' (R' U R U2) (R' U' R U') (R U' R' U' R2 U R2' U R2 U2' U' R U R2' U' R2 U' R2' U2'
R' (U' R U' R') U R' U') (R' U' R U) R U' R' R' (U R' U R) R (U' R U' R')
U2 x' D (R U' R' D') R2 D2
(R' U R D2) R2'
R U R' U R U2' R2' U' R U' R' U2 R R U R' U' R U' R U2' R2' U' R U R' R' U' R U' R U2' R2' U' R2 U' R2' U R U R' U R' U2' R2 U R2' U R2 U'
[U70] U' R2 U' R2 [U71] R [U68] R' [U67]

LU
225/12=15.00

LU01-178-178-178-178-L72 LU02-168-167-173-174-L62 LU03-167-168-174-173-L65 LU04-176-176-176-176-L70


15-11-11 15-13-13 15-13-13 15-14-13
U2 (R U2' R' U2) (R' U' R (R U2' R' U' R U' R') U (R' U' (R' U2' R U R' U R) U' (R (R U R' U R U2' R') U2 (R
U) (R U' R' U2) R' U2' R U2' R U R' U R) U2' R' U' R U' R') U2' R' U' R U' R')
R' U' R U' R' U2' R U' R U R' U R R U R' U R U2' R' U R' U' R U' R'
U2' R' [L67] U2 R [L63]

LU05-173-174-168-167-L67 LU06-174-173-167-168-L63 LU07-172-171-169-170-L68 LU08-169-170-172-171-L61


15-13-13 15-13-13 15-13-12 15-13-12
U' (R' U' R U' R' U2' R) U' (R U R' U R U2' R') U (R' U' U' R2 U (R' U' R' U) (R U R' U2 R2 U (R' U R' U') (R U'
(R U R' U R U2' R') R U' R' U2 R) U) (R U' R U') R2 R' U') (R U R U') R2'
R U2' R' U' R U' R' U R' U2' R U R' R' U2' R U R' U R U' R U2' R' U' R R2 U R' U R' U' R U' R' U' R U R U' R2 U R' U' R' U R U R' U R U' R U'
U R [L62] U' R' [L65] R2' [L61] R2 [L68]

LU09-171-172-170-169-L64 LU10-170-169-171-172-L66 LU11-177-177-177-177-L71 LU12-175-175-175-175-L69


15-13-12 15-13-12 15-13-13 15-13-13
R2' U' (R U R U') (R' U' R U R2' U' (R U' R U R' U) (R U2 (R U R' U) (R U' R' U)2 (R U2' R' U' R U' R') U2 (R
U') (R' U R' U) R2 U R' U') R' U R2 R U2' R' U R' U R U2' R')
R2' U' R U' R U R' U R U R' U' R' U R2' U' R U R U' R' U' R U' R' U R'
R2 [L66] U R2 [L64]

HU
108/8=13.50
HU01-243-244-244-243-H37 HU02-244-243-243-244-H38 HU03-241-242-240-239-H35 HU04-242-241-239-240-H36
15-13-11 15-13-11 11-11-11 11-11-11
U (R' U2' R U R' U R) U (R U (R U2' R' U' R U' R') U' U' R' U2' (R U R' U') (R U U' (R U2' R' U') (R U R' U')
U R' U R U2 R') ( R' U' R U' R' U2 R) R' U R) R U' R'
R U2' R' U' R U' R' U' R' U' R U' R' R' U2' R U R' U R U R U R' U R U2 R' U' R U' R' U R U' R' U2 R [H34] R U R' U R U' R' U R U2' R' [H33]
U2 R [H38] R' [H37]

HU05-239-240-242-241-H33 HU06-240-239-241-242-H34 HU07-246-246-246-246-H40 HU08-245-245-245-245-H39


11-11-11 11-11-11 19-15-13 15-13-11
U2 (R U R' U) (R U' R' U) R ( R' U' R U') (R' U R U') R' U (R U R' U) (R' U' R U) R' (R U R' U R U2' R') U' (R'
U2' R' U2 R U' R2 U' R2 U (R U2 R' U2' U2' R U R' U R)
R)
(R U R' U) (R U' R' U)2 R'
U' R2 U' R' U R' U R
R U2' R' U' R U R' U' R U' R' [H36] R' U2' R U R' U' R U R' U R [H35]

PiU
164/12=13.67

PiU01-279-280-280-279-Pi67 PiU02-280-279-279-280-Pi62 PiU03-287-288-287-288-Pi70 PiU04-288-287-288-287-Pi69


13-11-11 13-11-11 11-12-11 15-12-11
U (R U2' R' U' R U' R2') (U' U (R U R' U R U2' R2') (U2' U2 (F U R U' R') (S U R U' U (R U2' R' U' R U' R') U (R
R U' R' U2' R) R U R' U R) R' f') U2' R' U' R U' R')
(R' U' R U' R' U2 R) U (R'
U' R U' R' U2 R)
R U R' U R U2' R2' U2' R U R' U R R U2' R' U' R U' R2' U' R U' R' U2'
[Pi62] R [Pi67]

PiU05-281-282-286-285-Pi65 PiU06-282-281-285-286-Pi66 PiU07-285-286-282-281-Pi64 PiU08-286-285-281-282-Pi63


15-13-12 15-13-12 15-13-12 15-13-12
U2 ( R' U R U') R2' U2' (R U U2 (R U' R' U) R2 U2' R' U' U ( R' U2 R U2') (R' U R U' (R U2' R' U2) (R U' R'
R' U) R2 U' R' U R R U' R2' U R U' R' U2')2 R' U' R U2)2 R U R'
U2 (R U' R' U2) (R U R' U2 (R' U R U2') (R' U' R
U2')2 R U2' R' U2')2 R' U2 R
R U2' R' U2 (R U' R' U2)2 R U R' (R' U2 R U2') (R' U R U2')2 R' U' R R U' R' U R2 U2' R' U' R U' R2' U R' U R U' R2' U2' R U R' U R2 U'
[Pi63] [Pi64] R U' R' [Pi66] R' U R [Pi65]

PiU09-284-283-283-284-Pi6 PiU10-283-284-284-283-Pi6 PiU11-290-290-290-290-Pi72 PiU12-289-289-289-289-Pi71


9-9-9 9-9-9 19-14-13 15-11-11
R' U2' R2 U R2' U R2 U2' R U2' R2' U' R2 U' R2' U2' F (R U R' U')2 F' (R U R' U' U (R U R' U R U2' R') U (R
R' R M' U R U' r') U R' U R U2' R')
R U R2' U' R2 U' R2' U2' (R U2' R' U' R U' R') U' (R
R2 U' R' U R U2' R' U2' R' U' R U' R')
R U2' R2' U' R2 U' R2' U2' R [Pi61] R' U2' R2 U R2' U R2 U2' R' [Pi68]

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