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3x3 2Gen Example Solve Game

Christopher Mowla

Premium Member
Joined
Sep 17, 2009
Messages
901
Location
New Orleans, LA
YouTube
4EverTrying
Interesting solution !

Next: R2 U R L' R' U2 L F2 R2 B' R F' R F' R B U2 R'
Thanks!

//Form a 1x2x3 block of face R's pieces
R U2 R' U'

//3 corner twist in U face
U
(U R' U) U' (R' U' R' U') R (U R U R) (U' R U') //3-cycle of midges
U2 R U R' U R U2 R' //Inverse of Sune
U'

//Finishing turn
R2

25 HTM

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

Christopher Mowla

Premium Member
Joined
Sep 17, 2009
Messages
901
Location
New Orleans, LA
YouTube
4EverTrying
Next: R2 U2 R U R2 U R' U2 R' U2 R2 U R2 U' R U2 R U R2 U2 R2 U' R' U' R2
//Premoves
R' U2 R2 U' R U' R2 U R U

//A 2 corner twist in U + 3-cycle of midges in R
//Created with a commutator consisting of Sune as X and R' as Y in commutator [X,Y] with 5 conjugates

U' R2 //outer conjugates
R U' R' //cyclic shift conjugates
R U R' U R U2 R' U2 //Sune = X
R' //Y
U2 R U2 R' U' R U' R' //Inverse of Sune = X'
R //=Y'
R U R' //inverse of cyclic shift conjugates
R2 U //inverse of outer conjugates

26 HTM

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

WoowyBaby

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Joined
May 27, 2018
Messages
351
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WCA
2018ISOM02
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//Premoves
R' U2 R2 U' R U' R2 U R U

//A 2 corner twist in U + 3-cycle of midges in R
//Created with a commutator consisting of Sune as X and R' as Y in commutator [X,Y] with 5 conjugates

U' R2 //outer conjugates
R U' R' //cyclic shift conjugates
R U R' U R U2 R' U2 //Sune = X
R' //Y
U2 R U2 R' U' R U' R' //Inverse of Sune = X'
R //=Y'
R U R' //inverse of cyclic shift conjugates
R2 U //inverse of outer conjugates

26 HTM

Next: F2 R2 F2 D R2 U B2 D U2 L2 U B2 L' U L D2 F2 U' R'
U2 R U2 R’ U R’ U’ // Square
R2 U’ R U2 R’ U’ R // RB Pair
U2 R U2 R2 U’ R2 U’ R2 U2 // H OCLL
R’ U R U R’ U’ R’ U’ R’ U R’ U // Ua-Perm
35 HTM, pretty “standard” solution

Next: R2 U’ R’ L D R2 D' L' U' F2 U L2 D R2 D2 B2 D L2 U2 R2 U’
 

Christopher Mowla

Premium Member
Joined
Sep 17, 2009
Messages
901
Location
New Orleans, LA
YouTube
4EverTrying
Next: R2 U’ R’ L D R2 D' L' U' F2 U L2 D R2 D2 B2 D L2 U2 R2 U’
This is solution is nearly the same as my previous, but I wasn't fortunate with the 3-cycle of midges AND the two corner twist both going in the needed direction, when Sune was used to make a commutator which twists two corners and does a 3-cycle of midges. So I forced it, but it costed extra moves. (It's ironic, but when I made the previous, I knew I "got lucky" with this, and on the very next solution, I got "unlucky". LOL.)

U R U2 R2 U R2 U R U' R' //Premoves

R' U R2 U R2 U' R' //Setup to change direction of 3-cycle of midges
R U R' U R U2 R' U2 //Sune = X
R //Y
U2 R U2 R' U' R U' R' //X'
R'//Y'
R U R2 U' R2 U' R//undo setup

34 HTM

Next: D2 L F2 D2 R D2 L' F2 D2 R2 D2 R U2 R' D' U' R' U2 R D' U'
 
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