Modification to BOP (Only corners)

[V Achyuthan]

MOTIVATION
The BOP method has a major problem with setups (for corners) for a lot of cases. And also there is very less possibility to cancel moves.

METHOD
The Speffz lettering scheme is used here.
Buffer - I
Target - M
Allowed setups - <D B R>
Swapping algorithm - U' R U R' F' R U R' U' R' F R2 U' R'

ALL SETUPS
A: B' R'
B: B' R2
C: R2 B R'
D: Buffer
E: Jb from left
F: Buffer
G: D2 R2
H: D2 R
I: Buffer
J: R B' R2 (else you can also do this alg R' F R U R' U' R' F' R2 U' R' U2 R U2)
K: D R2
L: D R
M: Direct algorithm. No setups
N: R'
O: R2
P: R
Q: R B R'
R: B D' R2 (Or you can do U R' into y perm and reverse the setup)
S: D' R2
T: D' R
U: R' D' R
V: D R' D' R
W: B R'
X: B R2

COMPARISON WITH Other BLD methods (corners)

Method	Average Corner Swap Length	Average Setup moves and reversing them (including cancellations)	Average Moves per Corner
Basic OP	15	2.2	17.2
BOP	14	4.1	18.1
Modified BOP	14	2.4	16.4

PARITY
If you get parity while using
i) Old pochmann - Do this any one of these algorithms after you finish edges
a) R2 F R U R U' R' F' R U2 R' U2 R U
b) U' R' U2 R U2 R' F R U R' U' R' F' R2
c) U' R' U2 R' D' R U' R' D R U R U' R' U' R
ii) M2 - Do this alg U' R' S2 R U R' U' M S' U S' r (If anyone can find a better alg please dm me I will add it here. Thank you)
iii) BOP - Same as old pochmann

EXAMPLE SOLVE
i) Old Pochmann
ii) M2
iii) BOP

CONCLUSION
Overall I think this modification is better than both OP and Standard BOP.

 

[V Achyuthan]

MOTIVATION
The BOP method has a major problem with setups (for corners) for a lot of cases. And also there is very less possibility to cancel moves.

METHOD
The Speffz lettering scheme is used here.
Buffer - I
Target - M
Allowed setups - <D B R>
Swapping algorithm - U' R U R' F' R U R' U' R' F R2 U' R'

ALL SETUPS
A: B' R'
B: B' R2
C: R2 B R'
D: Buffer
E: Jb from left
F: Buffer
G: D2 R2
H: D2 R
I: Buffer
J: R B' R2 (else you can also do this alg R' F R U R' U' R' F' R2 U' R' U2 R U2)
K: D R2
L: D R
M: Direct algorithm. No setups
N: R'
O: R2
P: R
Q: R B R'
R: B D' R2 (Or you can do U R' into y perm and reverse the setup)
S: D' R2
T: D' R
U: R' D' R
V: D R' D' R
W: B R'
X: B R2

COMPARISON WITH Other BLD methods (corners)

Method	Average Corner Swap Length	Average Setup moves and reversing them (including cancellations)	Average Moves per Corner
Basic OP	15	2.2	17.2
BOP	14	4.1	18.1
Modified BOP	14	2.4	16.4

PARITY
If you get parity while using
i) Old pochmann - Do this any one of these algorithms after you finish edges
a) R2 F R U R U' R' F' R U2 R' U2 R U
b) U' R' U2 R U2 R' F R U R' U' R' F' R2
c) U' R' U2 R' D' R U' R' D R U R U' R' U' R
ii) M2 - Do this alg U' R' S2 R U R' U' M S' U S' r (If anyone can find a better alg please dm me I will add it here. Thank you)
iii) BOP - Same as old pochmann

EXAMPLE SOLVE
i) Old Pochmann
ii) M2
iii) BOP

CONCLUSION
Overall I think this modification is better than both OP and Standard BOP.

Currently I am working on using the same algorithm for edges with BUFFER AS C and TARGET AS D.
I think it might be better than standard BOP.

 

[abunickabhi]

Interesting and helpful modification, thanks for sharing!