PLL R2 algorithms for CUBOIDS no R/L/F/B moves

rcarvalho

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Joined
Jan 29, 2021
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Here are full PLL algorithms for the 33n cuboids, PDF files are attached:

PLL R2 algorithms for CUBOIDS no R/L/F/B moves
Start algorithms with full bar or headlights on the LEFT side; Small bars shall be on the FRONT-LEFT corner.

FR insert CORNER/EDGE(S):
R2 U R2 U' R2

swap CORNERS:

Adjacent FR-BR – T-PERM:
R2 U R2 U' R2 U' D R2 U' R2 U R2 D'

Diagonal FR-BL – Y-PERM:
R2 D' R2 U R2 U' R2 D R2 U' R2 U R2 U R2

parity:

parity adjacent EDGES (F-R adjacent):
(R2 U R2 U) (R2 U2 R2 U2) (R2 U R2 U') R2

parity opposite EDGES (F-B opposite):
R2 U2 R2 U2 R2 U2

parity MIDDLE LAYER flip:
(Uu2 R2) (F2 u2 F2) (R2 Uu2)

full PLL:

U+:

[ (R2 U' R2 U') (R2 U2 R2 U2) ]x2
R2 U2 D R2 U' R2 D' R2 U' R2 U2 D R2 D’

U-:
[ (R2 U R2 U) (R2 U2 R2 U2) ]x2
R2 U2 D’ R2 U R2 D R2 U R2 U2 D’ R2 D

Z:
y’ ( R2 U' R2 U2 R2 U' R2 U )x2 y
( R2 U R2 U2 R2 U R2 U’ )x2
(M2 U M2 U) x’ (M2 U2 M2 U2) x U2

H:
(R2 U2 R2 U2) R2 U' (R2 U2 R2 U2) R2 U
(M2 U M2) U2 (M2 U M2)

T:
R2 U R2 U' R2 U' D R2 U' R2 U R2 D'
R2 D' (F2 U F2) R2 U R2 U' R2 D

F:
y R2 U R2 U' R2 U R2 U' y' R2 U2 D' R2 U D R2 U R2 U'
R2 U2 D' R2 U D R2 U R2 U2 R2 U' R2 D' R2 U D R2 U
(M2 U M2) y’ T-perm y (M2 U’ M2)

Y:
R2 D' R2 U R2 U' R2 D R2 U' R2 U R2 U R2
R2 U' R2 U' R2 U R2 D' R2 U R2 U' R2 D R2

V:
R2 U’ (R2 U2 F2 U) R2 U (R2 U2 F2 U) R2 U2 R2 U
R2 D (R2 U' D' R2 U') R2 D U2 (R2 U' D' R2 U') R2 U2 R2 U
y’ R2 U2 R2 U R2 U D R2 U y R2 U R2 U D R2 D' R2 D'
(M2 U2 M2) Y-perm (M2 U2 M2)

Ja:
R2 U' R2 D R2 U' R2 U R2 U D' R2 U
y’ R2 U' D R2 U' R2 U R2 D' R2 U R2 U’ y
R2 U' R2 D R2 D' (F2 U F2) R2 U

Jb:
R2 U R2 D’ R2 U R2 U’ R2 U’ D R2 U’
y R2 U D' R2 U R2 U' R2 D R2 U' R2 U y’

Aa:
R2 U R2 U R2 D’ R2 D R2 U’ R2 D’ R2 U’ D R2
y R2 D R2 U’ R2 U D’ R2 U’ R2 D R2 U D’ y’

Ab:
R2 U R2 U' R2 U R2 D R2 U' R2 U R2 U' D' R2
R2 D' R2 U R2 U' D R2 U R2 D' R2 U' D

E:
y R2 U2 R2 U' R2 U D R2 U' R2 U R2 U' D' R2 U' R2 y’
(R2 U' r2 U R2 U B2 U' B2)x2
B2 U' (R2 U L2 U' R2 U L2)x2 U' B2
T-perm U2 T-perm U2

Na:
( R2 U' R2 U D R2 D' R2 U2 )x2 U
B2 R2 U2 R2 U R2 y R2 U2 R2 U F2 U2 R2 U’ y’
Jb-perm U2 Jb-perm U

Nb:
( R2 D’ R2 UD R2 U’ R2 U2 )x2 U’
F2 R2 U2 R2 U' R2 y' R2 U2 R2 U' B2 U2 R2 U y
Ja-perm U2 Ja-perm U’

Ra:
y’ R2 U' R2 U' R2 U y R2 U2 (R2 U')x3 F2 U
y’ (R2 U' R2 U' R2 U2 D') R2 U2 (R2 U' R2 U' R2 U2 D) R2 U y
Ja-perm y U+ y’

Rb:
y R2 U R2 U R2 U' y' R2 U2 (R2 U)x3 B2 U'
y R2 U R2 U R2 U2 D R2 U2 R2 U R2 U R2 U2 D' R2 U’ y’
Jb-perm y’ U- y

Ga:
y2 (R2 U2 R2 U' R2 U' R2 U2) y' (R2 U2 R2 U R2 U R2 U) y’
R2 U R2 D R2 U' R2 U' R2 U2 R2 U' D' R2 U' R2 U2
R2 U' R2 U R2 U' D' R2 U2 R2 U' R2 U R2 U2 R2 U2 D

Gb:
(R2 U' R2 U' R2 U2 R2 U2) y (R2 U R2 U R2 U2 R2 U’) y’
R2 U' R2 U' R2 U2 R2 U' D' R2 U R2 U R2 U2 R2 D U2
R2 D' R2 D R2 U2 R2 U R2 U R2 U2 R2 U' R2 D' R2 D R2 U2

Gc:
y2 (R2 U2 R2 U R2 U R2 U2) y (R2 U2 R2 U' R2 U' R2 U’) y
R2 U' R2 D' R2 U R2 U R2 U2 R2 U D R2 U R2 U2
R2 U R2 U' R2 U D R2 U2 R2 U R2 U' R2 U2 R2 D' U2

Gd:
(R2 U R2 U R2 U2 R2 U2) y' (R2 U' R2 U' R2 U2 R2 U) y
R2 U R2 U R2 U2 R2 U D R2 U' R2 U' R2 U2 R2 D' U2
R2 U R2 U D R2 D' R2 U' R2 D R2 U D' R2 U2 R2 U


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Last edited:
Amazing contribution to the community! I only knew the TPERM

I liked the Uperm
[ (R2 U' R2 U') (R2 U2 R2 U2) ]x2
Can be used to teach as part of a 3x3 beginners method
 
Last edited by a moderator:
I'm also sharing the Excel file with the full list of PLL R2 algorithms for CUBOIDS that I could find. They are ranked by algorithm length, and also by repetition of a certain sequence in the algorithm. If anyone can find better algorithms than those listed above, please let me know. Download Excel file here: https://drive.google.com/file/d/1d3cknTbcNxPpqAkpZsc1aHiXq_N935vB/
 
Last edited:
I'm also sharing the Excel file with the full list of PLL R2 algorithms for CUBOIDS that I could find. They are ranked by increase in algorithm length, and also by repetition of a certain sequence in the algorithm. If anyone can find better algorithms than those listed above, please let me know. Download Excel file here: https://drive.google.com/file/d/1d3cknTbcNxPpqAkpZsc1aHiXq_N935vB/
This is a great resource. Thanks for sharing it with the community.
 
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