Sunny cases:
SN
1:12
SNo

Use the corner commutator or the algs below to solve CP.

Divide the probability by 12 to get the odds for pure CP.


3-Cycles / A-Permutantions
A1 +
1:144
A1+
R2' F2 (R2' bR' R2) F2' (R2' bR R')915
y R' U' R F' L' F R' F' L F U R1212
A1 -
1:144
A1-
(R bR' R2) F2 (R2' bR R2) F2' R2915
y R' U' F' L' F R F' L F R' U R1212
A2 +
1:144
A2+
bR' R' U L U' R' U L' U' R2 bR1112
A2 -
1:144
A2-
bR' R2' U L U' R U L' U' R bR1112
 

2+2 Swaps / E-Permutations
E1
1:144
E1
(R- U' R' U L U' R U) xy' (R bR R' F R bR' R' F')1616
y' (R' U' R') z' (R' U L' U') (R U L U') (R' U L U') (R U2)1617
E2
1:144
E2
(F R' F' R+ U bR U' R-) y' (R bR R' F R bR' R' F)1616
F:U (U L' U') R (U L U') R' (U L U') R (U L' U') R'1616
E3
1:144
E3
y2 (bR' R' F R bR R' F' R)(F R' F' R+ U bR U' R-)1616
(R' L') U2 L U R U (y) (R L) U2' R' U' L'1315
 

5-Cycles
Q +
1:144
Q+
L2 U2 L2' U L2 U' L2' U L2 U' L2' U L2 U2 L2'1525
Q -
1:144
Q-
R2' U2' R2 U' R2' U R2 U' R2' U R2 U' R2' U2' R21525
Q2 +
1:144
Q2+
(R2' U2' R2 U' R2' U2' R2) (R U R' U' R' F R2 U' R' U' R U R' F')2027
Q2 -
1:144
Q2-
(L2 U2 L2' U L2 U2 L2') (L' U' L U L F' L2 U L U L' U' L F)2027
Q = PS++/-- x3; Q2 = PS++/-- plus TH++/--

O +
1:720
O+
(R2' U' R2 F2 R2' F2') U' (F2 R2 F2' R2' U2 R2)1324
O -
1:720
O-
(R2' U2' R2 F2 R2' F2') U (F2 R2 F2' R2' U R2)1324
O2 + / Star +
1:720
O2+
(R2 U2' R2' F2' U' F2) U' (R2 U' R2' F2' U2' F2)1323
O2 - / Star -
1:720
O2-
(F2' U2 F2 R2 U R2') U (F2' U F2 R2 U2 R2')1323
 


Page checked & updated 12/jun/2013.