New commutator challenge.

[mrCage]

Find a way to twist (rotate) 2 corners with no side effect using only 2 faces of the cube. This is not too hard by easy modification of a well known alg.

Now do it as a direct commutator using only 2 faces!!

Per

 

[d4m4s74]

right now without my cube on me I can only think of three faces, I'll be back later

 

[Cubenovice]

Spoiler

I suppose the well know alg would be Sune / Antisune combo's. RU all the way to twist two corners:

Sune U2 ASune U2 to give headlights on L:
R U R' U R U2 R' U2 R' U' R U' R' U2 R U2

But since the Sunes in itself are commutators with cancelling moves I suppose you are looking for something different with your "direct" commutator?

 

[Stefan]

Spoiler

[U2 R U R' U R U2 R', R']

 

[PM 1729]

Spoiler

Easy way using sune/antisune:
RU2R'U'RUR'U'RU'R' U RUR'URU2R'U

What exactly do you mean by direct commutator?

Edit:
Oh I see. Nice one Stefan . Looks neater written like that

 

[mrCage]

[U2 R U R' U R U2 R', R']

I knew you could do it Stefan. How about twisting UFR and UBL with a direct commutator using only U and R ??
(Or even UFD and UBL.)

Per

 

[Stefan]

Please use commutator notation so we can easily see it's indeed a commutator, and how. Or in your cases, *you* can see it's *not* a commutator, and refrain from posting an invalid answer in the first place.

I knew you could do it Stefan. How about twisting UFR and UBL with a direct commutator using only U and R ??

Spoiler

[R2 U' R' U R' U' R2 U, U2]

(Or even UFD and UBL.)

UFD?

 

[mrCage]

I meant URD and UBL Stefan. My bad !!

Per

 

[Kirjava]

lol URD

 

[Stefan]

lol I thought about highlighting the problem but thought "nah..."

 

[vcuber13]

U2 R [U2 R U R' U R U2 R', R'] R' U2?

i think that would be
[U2 R, [U2 R U R' U R U2 R', R']]

 

[Stefan]

[R2 U' R' U R' U' R2 U, U2]

That U isn't really needed, it can be left out or changed to U' or U2 and all four variations have exactly the same effect:
[R2 U' R' U R' U' R2, U2]
[R2 U' R' U R' U' R2 U', U2]
[R2 U' R' U R' U' R2 U2, U2]

 

[Stefan]

U2 R [U2 R U R' U R U2 R', R'] R' U2?

i think that would be
[U2 R, [U2 R U R' U R U2 R', R']]

Sigh.
[U2 R, [U2 R U R' U R U2 R', R']]

 

[vcuber13]

[U2 R: [U2 R U R' U R U2 R', R']]

 

[Stefan]

But how is that a direct commutator? I must admit I'm not 100% sure what Per means, but I'm rather certain he doesn't want an outer conjugation.

Here's one for UBL and DFR:
[[R2 U' R' U R' U' R2, U2], R2 U' R2]

 

[Lucas Garron]

[U2 R U R' U R U2 R', R']

Aw, I get here an hour late, and you've already spoiled all the fun of being first. I literally thought of posting [U2 R U R' U R U2 R', R] immediately, but apparently I'm not original enough.

 

[Cubenovice]

Some nice stuff here.

Now if I had only put the U2 at the beginning I could have claimed the solution ;-)

BTW: shoudn't we all use spoilers to keep the challenge alive for people who come fresh into the thread?

 

[Stefan]

Sorry, Lucas

Another approach for UBL and DFR:
[(R U R' U R U2 R') U (R2 U' R' U' R U R U R U' R) U, U R U']

BTW: shoudn't we all use spoilers to keep the challenge alive for people who come fresh into the thread?

Alright... I've spoilered my solutions on the first page. If people read further before doing it themselves, it's their own fault.

 

[mrCage]

But how is that a direct commutator? I must admit I'm not 100% sure what Per means, but I'm rather certain he doesn't want an outer conjugation.

Here's one for UBL and DFR:
[[R2 U' R' U R' U' R2, U2], R2 U' R2]

I wonder if this is optimal though??

Per

 

[Stefan]

I doubt it. But beat me