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The CEOR Example Solve Thread


x' // CP case 23
F R F' U S' // CP line (5)
U2 r2 E M' u r' // dM (6/11)
R2 E R' U' R u2 // 3QB + DFR (6/17)
R' U' R U' R' U' R // LS (7/24)
U' S' U' S U' S' U' S // EO (8/32)
R U R' U R U2 R2' U' R U' R' U2 R // OCLL (13/45)
u2 U (R' U' R U') R U R U' R2' U2 R U' // L5EP (14/59)

next: R' F' L' F2 L B2 R' F2 R B2 R' B2 R' F' U' L' D R D' B
 
x' y'
U2 F' // CP line (2)
r u r' E' M' U' r2 // dM + DFR + DRS (7/9)
u R' U' R u2 U' R2 U2 R U R' U R' U R' // F2L-1(15/24)
S R' U' R U R U R U' R' S' // EO (11/35)
U R U2 R' U' R U2 // LS (7/42)
R S2 R U' R U' R' U2 R' S2 R2 U2 // 2GLL (12/54)

next: D2 B2 D2 U2 L' F2 U2 L2 B2 D2 R2 B L D' B2 R D2 U2 R' D2
 

x2 y' // CP case 13
F r F' u' R' S2 // CP line (6)
R' u2 R' U r2 // dM (5/11)
R' u' R2 E R' u // 3QB (6/17)
R2' U2 R U R' U' R // dBR (7/24)
U' R2 U2 R' U' R U' R2 // dFR (8/32)
U' S' U2 S // DRS (4/36)
R' U' R U' R' U2 R U' R' U2 R U R' U R // 2GLL (15/51)
u2 U' // AUF (2/53)

NEXT: R2 F U2 B D2 B D2 F D2 B R2 D2 U' B D F2 L U F2 R2 U'
 
NEXT: R2 F U2 B D2 B D2 F D2 B R2 D2 U' B D F2 L U F2 R2 U'

YruRU variant, 51 STM, 39 STM with cancellations

Inspection: y2

Line (5): L2 R2 U B2 F2
CP (4): R F R F'
pEO-extension (6): U u2 R u' R u'
EO (7): r U' r U2 r U' r
BF (6): R2 r2 U r2 U' R2
F2L (11): R2 U' R' U R U' R' U R' U' R2
2GLL (12): R2 U R U R' U' R' U' R' U R' U2

Cancellations: y2 M2 x2 U S2 z2 R F R F' U u2 R u' R u' r U' r U2 r U' r R2 r2 U r2 U2 R' U R U' R' U2 R' U' R' U' R' U R' U2


Next: F2 U2 B F2 R L2 B2 R2 B2 L2 B' F U' L' D U2 R B L' U2 D'
 
YruRU variant, 51 STM, 39 STM with cancellations

Inspection: y2

Line (5): L2 R2 U B2 F2
CP (4): R F R F'
pEO-extension (6): U u2 R u' R u'
EO (7): r U' r U2 r U' r
BF (6): R2 r2 U r2 U' R2
F2L (11): R2 U' R' U R U' R' U R' U' R2
2GLL (12): R2 U R U R' U' R' U' R' U R' U2

Cancellations: y2 M2 x2 U S2 z2 R F R F' U u2 R u' R u' r U' r U2 r U' r R2 r2 U r2 U2 R' U R U' R' U2 R' U' R' U' R' U R' U2


Next: F2 U2 B F2 R L2 B2 R2 B2 L2 B' F U' L' D U2 R B L' U2 D'

x // Nauty-S
// corner 5 @ pos 4
// corner X @ pos 6
// corner 6 @ pos X
// tracing CW on U layer -- 423(1)
// reversed -- 4132
// CP case 13 -- corner 6 must swap with corner 1
R2 // position corner 1 in position 3
F2 // solve DFL for 2-move CP line! (2)
r2 u' R' r' U' r2 // dM (6/8)
E' R2 U' R' u R' U' R u2 // 3QB (9/17)
R2 U' R' U R U' // dBR (6/23)
R U' R S R' S' U' R U2 // EODR (9/32)
R2 U’ R’ U’ R U’ R’ U // dFR (8/40)
R' U' R2 U' R2 U2 R U' R U' R' U // 2GLL (12/52)

NEXT:
D2 F' D2 L2 F' L2 B' D2 B D2 F D2 L B F D B' L D2 U2 L
 

x'
// 4 in 6, 5 in 1, 6 in X, X in 3
// tracing CW on R - 234(1) - 1234 - CP solved!
U F U F // CP line (4)
u R u U R' u2 // lE (6/10)
R U R' M2 U r2 // dM (6/16)
U' R U' R // dBR (4/20)
U R' U' S U R U' S' // EODR (8/28)
U' R U' R' U R U R' // dFR (8/36)
U R2 U' R2 U' R' U2 R U' R' U' R' U R2 U2 // 2GLL (15/51)

NEXT:
F' R' F B' U' L B U2 B R2 L2 U D2 F2 L2 D2 F2 D L2 U2 L2
 

U' R U F // CP line (4)
r E' R u M2 // dM (5/9)
E2 U' R' E2 // 3QB (4/13)
U R' U R U' R // dBR (6/19)
U' r U' r' S' U r U r' S // EODR (10/29)
U2 R' U2 R2 U R2 U R // dFR (8/37)
U2 R' U R' U R2 U' R2 U' R2 U' R U R' U' R' // 2GLL (16/53)

NEXT: L' D2 B' U' R2 D B2 D2 B2 L2 U R2 U F D2 L D' U2 L F'
 

x' // CP case 12 (solved)
U F U F // CP line (4)
u r R U2 R U M2 // dM (7/11)
u' R' u' U' R E2 // HB (6/17)
R U' R // dBR (3/20)
S' U S // EO (3/23)
U' R U2 R' U R U' R' // dFR (8/31)
S R2 S' R2 // DRS (4/35)
U R U R2 U' R2 U' R2 U2 R U' R U' R' // 2GLL (14/49)
E2 // AEF (1/50)

NEXT: L B' L D' L D2 R' F' R2 F2 U2 D2 F L2 F D2 F' L2 D2 L
 
y2 x // 13 tracing (DFR-DBR swap)
r' U R F R u U' S' u2 // CPFB (9/9)
U2 r2 U r U' r R' U' r2 // EOStripe (9/18)
U R U R' U2 R' U R U' R' U' R // Right Block (12/30)
U R U R' U' R' U2 R U R' U R U' R U' R' U2 // 2GLL (17/47)

NEXT: L2 R2 F2 R2 U' B2 F2 R2 U L D2 R B R D B2 U L2 F'
 
It's not quite CEOR, but it's a cool solve combining 2gr and ZZ in probably the closest thing to "true" ZZ-D.

 Twizzle link 
 Setup 
L2 R2 F2 R2 U' B2 F2 R2 U L D2 R B R D B2 U L2 F'
 Moves 
x2 L B D' L F // 5/5, EOLine & permute DBL
U R2 // 2/7, 2gr
U2 L2 U L U2 L' U' L U L' // 10/17, dL (only <LU>)
R2 U R2 U R' U2 R U R' U' R // 11/28, dR (only <RU>)
U R U2 R' U' R U' R' U // 9/37, 2GLL


Next: D2 L2 D' R L' B2 L' D F2 R2 B' R2 B L2 B U2 L2 F D2 B2 L'

(Edited to be Twizzle. Thanks @Pyjam !)
 
Last edited:
y2 x' // 13 tracing (DBR-UBR swap)
R S' r u' r' U R' f' // CPFB 8/8
r' S R S' U R' U' r2 // EOStripe 8/16
U' R2 U' R U' R' U2 R' // right block 8/24
U2 R' U2 R U2 R' U R U2 R' U R U2 R' U' R U // 2GLL 17/41

 Twizzle link 
 Setup 
D2 L2 D' R L' B2 L' D F2 R2 B' R2 B L2 B U2 L2 F D2 B2 L'
 Moves 
y2 x' // 13 tracing (DBR-UBR swap)
R S' r u' r' U R' f' // CPFB 8/8
r' S R S' U R' U' r2 // EOStripe 8/16
U' R2 U' R U' R' U2 R' // right block 8/24
U2 R' U2 R U2 R' U R U2 R' U R U2 R' U' R U // 2GLL 17/41


NEXT: F2 D2 L2 B' U2 F' R2 F R2 D2 F' D2 U' R2 D U2 B' R' D R F
 
Last edited:
An unnamed late-CP CEOR variant

 Twizzle link 
 Setup 
F2 D2 L2 B' U2 F' R2 F R2 D2 F' D2 U' R2 D U2 B' R' D R F
 Moves 
x' r' U x' U' D' R2 D //FB
U' r2 U r' U' r2 //Cross
R' U R U2 R' U' R //False RB
U R' U' R U2 F R' F' U' F' U' F R //A-CPEOLL
U' R U R' U R U2 R2 U2 R U R' U R U //2GLL


Next: B' U2 F U2 B2 L2 F' L2 R2 F' D B' D R F2 U2 B2 U' R
 
 Twizzle link 
 Setup 
B' U2 F U2 B2 L2 F' L2 R2 F' D B' D R F2 U2 B2 U' R
 Moves 
z // 3-1 Tracing (UFR-UBL swap)
U f' R' u r2 u // CPFB (6/6)
R2 r' U' r U R U2 R U r2 // EOStripe + preserve pair (10/16)
R' U' R' U' R U' R' U2 R' U' R' U R // Pair + LXS (13/29)
U2 R' U R U2 R' U' R U' R U R' U' R' U' R U R U' R' // 2GLL (20/49)


Next: L' U' F U F2 D F2 D2 R2 F2 U2 R2 B2 D' L U B' U2 L2 B U
 
Next: L' U' F U F2 D F2 D2 R2 F2 U2 R2 B2 D' L U B' U2 L2 B U
 Twizzle link 
 Setup 
L' U' F U F2 D F2 D2 R2 F2 U2 R2 B2 D' L U B' U2 L2 B U
 Moves 
y'
// tracing CCW around R: DBR is 3, UBR is 1, DFR is 2.
// so 3124. #5 is in UFR so reverse it: 4213.
// CP case: 21.
U' F' U' F // CP line (4)
E' r U M' U r' // dM (6/10)
u' R u2 R2 u' U2' R' u // 3QB (8/18)
R' U' R' U2' R' U' R // RB (7/25)
S' U' S U' S' U S // EODR (7/32)
R' U2 R2 U R2 U R2 U2 R' // 2GLL (9/41)
U' // AUF (1/42)


NEXT: R B L U F U2 L F2 D' R2 B' U2 F' R2 F U2 D2 B'
 
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