Skewb method by Milan

[bamilan]

Idea:

Step 2a: (un)solve centers like U<->F R<->L.
Step 2b: solve centers + orient a few corners.

Step 3: orient remaining corners.


The point is at step 2b you can use very short algs like R' L R L', which solve centers and orient corners. Also, num of possible cases at step 3 got reduced drastically, cos a group of corners are oriented already.

 

[Robert-Y]

It seems whilst my extension does indeed cut down the number of cases it also increases the average move count of the last step a little bit.

I also had this other idea where:

Step 1 and 2a remain as before
Step 2b: solve the remaining centres + permute the remaining corners.
Step 3 orient all corners.

However step 3 seems to require more moves... It seems that leaving everything permuted and doing orientation of the last 6 corners isn't a good step.

 

[Ranzha]

It seems whilst my extension does indeed cut down the number of cases it also increases the average move count of the last step a little bit.

I also had this other idea where:

Step 1 and 2a remain as before
Step 2b: solve the remaining centres + permute the remaining corners.
Step 3 orient all corners.

However step 3 seems to require more moves... It seems that leaving everything permuted and doing orientation of the last 6 corners isn't a good step.

I recall Meep saying that orienting corners can reach to some of the deepest states of the puzzle.

 

[Robert-Y]

For the third step of Milan's originally proposed method:

1st step: solve 2 corners + 2 centers between them. (intuitive, 3-4 moves on average)
2nd step: solve all centers. (very ez, intuitive, max 2 moves except 1 case which is 3)
3rd step: solve last 6 corners. (729 algs total, max 10 moves)

I think I might have thought of something very useful to do the last step in 2 looks:
3a. With the big block on L and U, orient a corner if necessary by doing: R B' R B' / R' B R' B/ B R' B R' / B' R B' R
3b. Permute all corners. 81 cases I hope.

EDIT: No I'm wrong it's 243 cases which is still huge

But what if there's some way to orient 2 corners in very few moves, which would lead to (I hope 81 cases)

 

[Ranzha]

1. Petrus Block
2. Last 4 centres + 1 corner adj to the block (intuitive and fast)
3. Permute remaining corners (81 cases)

For the last step, cases should be categorized by the state of the permutation of the tetrad, then by the orientation of the corner outside the plane of the (possibly) misaligned tetrad, and then orientation of the (possibly) misaligned tetrad's corners

 

[martinss]

3a. With the big block on L and U, orient a corner if necessary by doing: R B' R B' / R' B R' B/ B R' B R' / B' R B' R

I'm sorry to ask that 9 months later but I don't understand what "orient a corner" means. As 2 of them are already in place, won't orienting a corner place him at the time?
I made this image to try to understand but it didn't work. (look at Center + 2 Adj Corners in the middle of the picture)

 

[Robert-Y]

I meant you can try to place a corner in UBR, oriented correctly for example, in order to reduce the number of cases down.

 

[martinss]

I meant you can try to place a corner in UBR, oriented correctly for example, in order to reduce the number of cases down.

Thank's for answering so fast. I now understand what you meant. My image wasn't right. I'll made a new one soon.

 

[PratikKhannaSkewb]

Don't wanna waste your time, so i give a short description of the method i came up with:

1st step: solve 2 corners + 2 centers between them. (intuitive, 3-4 moves on average)
2nd step: solve all centers. (very ez, intuitive, max 2 moves except 1 case which is 3)
3rd step: solve last 6 corners. (729 algs total, max 10 moves)

Don't be afraid of inspection of last 6 corners. Its relatively ez, only orientation matters, it identifies the case. Permutation doesn't matter at all.
Too many algorithms? Most of them are mirrors/backwards of others. 80%+ of them are like [setup - 4 move alg - setup'].
I generated 5 algs for each of these 729 cases, see attachment.

If you don't want to learn all algs, do 3rd step in 2 steps. Try to make 2 subgroups with 20-20 algs in each group(20-20 is example).

Additional info: first 2 steps can be merged, 4.93 moves on average that way. (from 1000 test cases)



Edit: I was totally wrong about that 729 algs. There are only 81 possible orientations.
Edit2: I was totally wrong about that 81. There are 729 possible orientations. It is possible that you got to step3, and you end up with only 1 unoriented corner.

Please make a video that would help me understand
i am already sub 3-3.5 with 4 methods , i know your method too , can you please make a video so that i am clear that i am doing it right

 

[PizzaCuber]

Please make a video that would help me understand
i am already sub 3-3.5 with 4 methods , i know your method too , can you please make a video so that i am clear that i am doing it right

Nice 4 year bump He hasn’t been active for 2 years anyway.

 

[PratikKhannaSkewb]

Nice 4 year bump He hasn’t been active for 2 years anyway.

this method has potential but i have to see how it works in a video only then i can think more for this

 

[PizzaCuber]

this method has potential but i have to see how it works in a video only then i can think more for this

I know, but he’s not gonna get on. He hasn’t been on the forums for Almost 2 years.

 

[Owen Morrison]

@bamilan