2x2x2 Domino Reduction example solve thread

[bcube]

Hi,

getting an optimal or near-optimal DR state on a 3x3x3 cube is hard.

As mentioned in this post, God's number on a 2x2x2 cube is 6, so ideally you should be able to consistently get a DR state in 8 moves or less on a 2x2x2 cube.

If you want to check/train your solutions there is a computer solver.

Scramble: F U' F' R2 U F U2 F' U



Next scramble: U' R' U2 F' R F' U2 F' R

 

[bcube]

Next scramble: U' R' U2 F' R F' U2 F' R

Oops, optimal is 4. Funny how some 4-movers are difficult to find for cubers like me.

Next scramble: R2 F' U2 F R2 U2 F U2 R'

 

[THE_V01DL0RD]

Isn't this Guimond orientation?

 

[bcube]

Isn't this Guimond orientation?

Stricly speking, Guimond steps would be:

1. solve at least 3/4 of a red face
2. solve both red faces

If I didn´t suck at finding a 4-move solution, my previous solve would be the following:



As you can see, there is no Guimond step 1 in that solution. I also believe that God´s number for a DR state on a 2x2x2 would be at least 7 when using 2-step Guimond as described above.

But feel free to use whatever method you like

P.S. a 3x3x3 parallel would be solving EO prior to DR instead of solving DR in a single step.

 

[bcube]

Next scramble: R2 F' U2 F R2 U2 F U2 R'

Next scramble: U2 R' U' R2 U R' U2 F' U'

 

[acrystal]

Next scramble: U2 R' U' R2 U R' U2 F' U'

From any angle, right?

 Twizzle link 

 Setup 

U2 R' U' R2 U R' U2 F' U'

 Moves 

D2 R2 U R2 x U' L U' L' U2 L

Next

 

[acrystal]

From any angle, right?

 Twizzle link 

 Setup 

U2 R' U' R2 U R' U2 F' U'

 Moves 

D2 R2 U R2 x U' L U' L' U2 L

Next

Since, I didn't get a response, I guess so

 Twizzle link 

 Setup 

R' F2 R' F' U R U2 F' U

 Moves 

z2 y // Inspection
U2 R2 B' R B U R'

Next

 

[acrystal]

Since, I didn't get a response, I guess so

 Twizzle link 

 Setup 

R' F2 R' F' U R U2 F' U

 Moves 

z2 y // Inspection
U2 R2 B' R B U R'

Next

 Twizzle link 

 Setup 

R2 U F2 R' U' R F U' R U'

 Moves 

F y2 R U R' U' R' F R F'

Next