I have made a method that people have told me is much better than orient, CP, E-layer, which most people think of.
From the New Method / Concept Thread, back in April 2019.
Main points:
- Only 8 algorithms
- Very good look lookahead/recog
- Two-lookable
- Great ergonomics
- Completely rotationless
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More related to your own idea (I'll stop being arrogant about my own ideas lol),
I am able to generate all of these algorithms for this 1-step idea you have.
Here they are: (Well, except not)
E-Layer Solved:
Solved Corners - Done!
Double Diagonal - F2 U2 R2 U2 R2 U2 F2
Double Adjacent - R2 U R2 U' D' R2 D R2
Diag Top Adj Bot - R2 U R2 U2 R2 U' R2 U' R2 U R2
Top Diagonal - R2 U' R2 U' R2 U R2 D' R2 U R2 U' R2 D R2
Top Adjacent - R2 U R2 U' R2 U' D R2 U' R2 U R2 D'
E-Layer off by an R2 Move:
Solved Corners - R2 U2 R2 U2 R2
Double Diagonal - F2 U' D F2 R2
Double Adjacent - R2 U F2 D2 R2 U R2 F2
Diag Top Adj Bot - R2 U' R2 U R2 U' R2 U R2
Top Diagonal - R2 U R2 U' R2 U2 D' R2 U R2 U' R2 D R2
Top Adjacent - R2 U R2 U' F2 U R2 U R2 U2 F2 R2
Tip: Do the reverse of the alg to see what it looks like when you do it.
I only genned 2 out of the 6 or so sets because I don't feel like doing them all now, but still, I hope this is helpful in some way!
If you want me to make the rest of them just ask, and have fun with tower cube!