The 2x2x2 "Example Solve" Game!

[G2013]

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

z' y' /Inspection
R U2 R /Face
U2 /AdjustEG
R U' R2 F R U R U' R' U' R' F R F' /EG1
U' /AUF

Final solve: F R2 F R2 F R' F2 U F R F R' F' R' F' U F U' R' (19 HTM)

Or using NISS (xD):

U2 /1X1X2
Switch
R D2 R' D2 /Finish face
U R' D' R U' R' D R U2/CLL

Final solve: U2 - R D2 R' U' L' D' L U' L' D L U2... Don't know how to write the final solve... help!

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

PD: 100th post!

 

[Rnewms]

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

y z2 // Inspection
U2 R U R2 // Layer
F' L' U' L U F U // CLL+AUF

Next: R F' R' U R2 F2 U' R' U

 

[ch_ts]

Or using NISS (xD):

U2 /1X1X2
Switch
R D2 R' D2 /Finish face
U R' D' R U' R' D R U2/CLL

Final solve: U2 - R D2 R' U' L' D' L U' L' D L U2... Don't know how to write the final solve... help!

U2 x y2 (R D2 R' U' L' D' L U' L' D L U2)' = U2 x y2 U2 L' D' L U L' D L U R D2 R'

 

[Cale S]

Next: R F' R' U R2 F2 U' R' U

y2 z' // rotate
R F2 // optimal magic
U' R2 U' R U2 R' U R U2 R' U' // <R,U> solve

13 moves using magic = gj

Next: R U2 R U2 R F R U'

Spoiler

Why do my scrambles always have magic already solved?

 

[Renslay]

Next: R U2 R U2 R F R U'

Spoiler

Why do my scrambles always have magic already solved?

Spoiler

Because you have special scrambles! With magic included...

x
R' U R' U' R U' R' U2 R U2 R2 // supa-magic!

Next:
F2 R' F U' F' R' U' F' U'

 

[G2013]

Or using NISS (xD):

U2 /1X1X2
Switch
R D2 R' D2 /Finish face
U R' D' R U' R' D R U2/CLL

Final solve: U2 - R D2 R' U' L' D' L U' L' D L U2... Don't know how to write the final solve... help!

U2 x y2 (R D2 R' U' L' D' L U' L' D L U2)' = U2 x y2 U2 L' D' L U L' D L U R D2 R'

Why that rotations?

--

Next:
F2 R' F U' F' R' U' F' U'

x' y /Inspection
R' U2 R' /Face
y' /AdjustEG (I did y' instead of U' to have a move less before removing rotations)
F R U R' U' F' /CLL
U2 /AUF

Final solve: D' B2 D' U R B R' B' U' B2
Cancells into: D' B2 B L B' L' U' L2
And cancells into!: D' B' L B' L' U' L2 (7 HTM!!!!!)

Which I think is optimal, because CubeExplorer can't find a shorter one, and I tried various center combinations!!
The shortest that I found with CubeExplorer is:
D' B' L B' L' D' B2
Along with a lot of other 7-move solves.
Wow

--

Next: U2 R' F' U' F R' U R' U' (Optimal scramble for random handscramble)

 

[Rnewms]

Next: U2 R' F' U' F R' U R' U' (Optimal scramble for random handscramble)

U R U' R U R // Layer
U F R U R' U' F' U // CLL+AUF

Alternate: R' U R U' R' + Adjacent Swap on bottom

Next: U F R' F2 R' U' F2 U' R2

 

[G2013]

Next: U F R' F2 R' U' F2 U' R2

x /Inspection
R' U2 R' /Face
D /AdjustEG
R U' F2 R U2 R U' F /EG1
U /AUF

Final solve: R' F2 R' B R F' D2 R F2 R F' D F (13 HTM)

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

 

[Rnewms]

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

z2 x' // Inspection
B U2 R U2 R F2 R' U R' U' // Faces+PBL with cancellations

Next: F' U' F' R2 U F R F2 R2

 

[G2013]

Next: F' U' F' R2 U F R F2 R2

x2
R' U2 R' (The same case in my last 3 solves!) /Face
U R U R2 F' R U' y' R' U R /EG1
U /AUF

Final solve: R' D2 R' D R D R2 B' R D' B' D B D (14 HTM)

Next: R F2 R F' R' U F2 R F' R'

 

[Renslay]

Next: R F2 R F' R' U F2 R F' R'

x B' F' U F // a basic spell
R U R' U R' U2 R2 U2 R' U' R U' R // <R,U>

Next: R2 F' R F2 R2 F' U2 R2 U'

 

[ottozing]

Next: R2 F' R F2 R2 F' U2 R2 U'

U2 F' R' U R' U' R F' R U R' [stuff]

Next: F R2 U' F U' R' F2 R2 F'

 

[rebucato314]

Next: F R2 U' F U' R' F2 R2 F'

z: inspection
R U R' U' R U R': white face
R U2 R' U' R U' R': OLL (anti-sune)
U: prepare for PBL
R U' R F2 R' U R' : PBL

Next: R2 F2 R' F U' F U F2 U'

 

[Cale S]

Next: R2 F2 R' F U' F U F2 U'

x2 y // rotate
// zero move magic
R2 U R' U2 R2 U R U2 R' U' R U' R' U' // <R,U> solve

Next: U2 F R U2 R' F2 U2 R F'

 

[Renslay]

x2 y // rotate
// zero move magic
R2 U R' U2 R2 U R U2 R' U' R U' R' U' // <R,U> solve

Next: U2 F R U2 R' F2 U2 R F'

x2 F U F // magic
R U' R' U2 R U' R U R2 U' R U' // <R,U>

Next: F2 U2 R U R2 U F2 U F' U'

 

[Cale S]

Next: F2 U2 R U R2 U F2 U F' U'

That one move face is very tempting, but I must use magic
x2 y2 // rotate
U' F2 // optimal magic
U' R2 U' R U2 R' U' R U' R' U' R U' R' U // <R,U>

Next: U2 F' U' F R2 F' U2 F U2

Spoiler

And once again my scramble has zero move magic -_-

 

[ch_ts]

That one move face is very tempting, but I must use magic
x2 y2 // rotate
U' F2 // optimal magic
U' R2 U' R U2 R' U' R U' R' U' R U' R' U // <R,U>

Next: U2 F' U' F R2 F' U2 F U2

Spoiler

And once again my scramble has zero move magic -_-

There's also 2-move layer (U B2) but then I don't know that case...

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

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

 

[Cale S]

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

Solving using T-perms and rotations; no setup moves, no AUFs, only T-perms with rotations in between.

T-perm x' T-perm x z' T-perm x' y' T-perm y' T-perm x T-perm x' z x
T-perm y' x' T-perm z' y2 T-perm x' T-perm z' y' T-perm z' y2 T-perm

168 in HTM
180 in QTM
12 in TTM (T-perm turning metric)

Harder than it seems at first

Next: U R' F' U2 R2 U' F2

 

[TDM]

U R' F' U2 R2 U' F2

z x' // Inspection
U' R U R2 F R U R U' R' F' // Layer+SS (PLL skip)

Next: U R2 F' U F' U R' U2 F2

 

[Renslay]

Next: U R2 F' U F' U R' U2 F2

z U x x x U U U z U U U z z z U U z U x // magic with <x,z,U>
U U U z z z U U U z U U U z z z U z U z z z U z U U U z z z U z U z z z U U z U // <R,U> with <z,U>
alg.cubing.net

Next: x U z z z U y y y x U U x x x U z U U x U U U x x x U U U x U x x x U U

Spoiler

F R F2 R U2 F' U' F U2 for lazy people