a small kitten
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Hey Everyone,
I am writing to present a new ZZ variant I've been working on with Statue. We thought of this idea more than a year ago and we recently reconvened to discuss actually going forward with formalizing the method. It's based on ZZ-d.
Method Breakdown
(This description presumes white EO Line)
1. EO Line
2. Left block
3. Push your two remaining white corners to the two bottom-right corner spots (orientation and permutation do not matter) (this usually takes 1-2 moves)
4. Corner permutation (sometimes the corners will come permuted) (otherwise, the algs are 5-6 moves)
5. Right block
6. 2GLL
*You can also approach solving the block + EO with Petrus
**You can mirror this stuff if you prefer making a right block first and doing lefty 2GLL
Algs for Basic ZZ - Profane Koala
Good + Good: 2GEN
Good + Adj: [R] D' R U R' D
Good + Opp: L R U' R U L'
Bad + Good: R' D' R U' R' D
Bad + Adj: [F] U D R' U R D'
Bad + Opp: 2GEN
*The first term refers to corner permutation
**The second term refers to what swap is required to reduce the cube to a 2gen state
***The letters in brackets denote what face the swap will take place
Hypothetical Extensions
Instead of pushing the two corner pieces to the bottom layer, you can extend to pushing them to other, more convenient spots. This would reduce the move count of step 3, which should allow easier transition from step 3 into step 4. Eventually, we expect solvers to know so many "pushing arrangements" that they can make at most 1 move and then permute the corners straight after.
Help!
We're looking for ideas on how to recognize corner permutation for step 4. Any help would be greatly appreciated.
Video
For those of you that want a video:
Many thanks,
Statue of Kitten
I am writing to present a new ZZ variant I've been working on with Statue. We thought of this idea more than a year ago and we recently reconvened to discuss actually going forward with formalizing the method. It's based on ZZ-d.
Method Breakdown
(This description presumes white EO Line)
1. EO Line
2. Left block
3. Push your two remaining white corners to the two bottom-right corner spots (orientation and permutation do not matter) (this usually takes 1-2 moves)
4. Corner permutation (sometimes the corners will come permuted) (otherwise, the algs are 5-6 moves)
5. Right block
6. 2GLL
*You can also approach solving the block + EO with Petrus
**You can mirror this stuff if you prefer making a right block first and doing lefty 2GLL
Algs for Basic ZZ - Profane Koala
Good + Good: 2GEN
Good + Adj: [R] D' R U R' D
Good + Opp: L R U' R U L'
Bad + Good: R' D' R U' R' D
Bad + Adj: [F] U D R' U R D'
Bad + Opp: 2GEN
*The first term refers to corner permutation
**The second term refers to what swap is required to reduce the cube to a 2gen state
***The letters in brackets denote what face the swap will take place
Hypothetical Extensions
Instead of pushing the two corner pieces to the bottom layer, you can extend to pushing them to other, more convenient spots. This would reduce the move count of step 3, which should allow easier transition from step 3 into step 4. Eventually, we expect solvers to know so many "pushing arrangements" that they can make at most 1 move and then permute the corners straight after.
Help!
We're looking for ideas on how to recognize corner permutation for step 4. Any help would be greatly appreciated.
Video
For those of you that want a video:
Many thanks,
Statue of Kitten
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