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So one basic method that I think is a little overlooked is CF, just one of those generic methods that was developed early and everyone thinks of every now and then. But, it can be pretty efficient when used right. So let's try combining a few methods with it and see how they turn out. This could be a fun an interesting experiment.
Petrus: 2x2x3 block (and maybe EO), then solve the corners. Finish L7E (in one alg?). Essentially a 2LLL if the corners and edges are done in one alg with a XXcross.
ZZ: EOline, then solve corners. L10E (lol). Maybe we can solve left and right sides for L10E, then the last U edges will be correct no matter what. So, 2 Algs for first side, then 1 for the other? I wouldn't consider this a 3LLL because this skips so much.
CFOP: basically the same as ZZ but a cross and no EO. Both sides can probably be solved in 1 look, but then the U edges have a chance of being flipped.
So what do you guys think of this experiment? Also feel free to add more.
I think the ZZ or Petrus ones can work out nicely.
 
So one basic method that I think is a little overlooked is CF, just one of those generic methods that was developed early and everyone thinks of every now and then. But, it can be pretty efficient when used right. So let's try combining a few methods with it and see how they turn out. This could be a fun an interesting experiment.
Petrus: 2x2x3 block (and maybe EO), then solve the corners. Finish L7E (in one alg?). Essentially a 2LLL if the corners and edges are done in one alg with a XXcross.
ZZ: EOline, then solve corners. L10E (lol). Maybe we can solve left and right sides for L10E, then the last U edges will be correct no matter what. So, 2 Algs for first side, then 1 for the other? I wouldn't consider this a 3LLL because this skips so much.
CFOP: basically the same as ZZ but a cross and no EO. Both sides can probably be solved in 1 look, but then the U edges have a chance of being flipped.
So what do you guys think of this experiment? Also feel free to add more.
I think the ZZ or Petrus ones can work out nicely.

The petrus variant you described is actually almost exactly what a few people (including myself) came up with and tried to improve but eventually just got to the point when you were more or less using Roux if you could get any more efficient. I think Gilles Roux himself was actually following that reasoning as well (though i may well be wrong- it's been a while since i read the original proposal).

For ZZ, it's interesting. The thing that jumps out at me is how you will probably end up with a fair few E and S moves. this could be solved by rotating to EoEdge but then you almost have SSC-O. It could be interesting though if you found a way to do edges quickly and efficiently (or corners (or both))

CFOP variant looks a lot like waterman to me (though i can see the differences) but overall i think the algs would be too hard to recognise and solve all the edges together or in 2 steps because of the lack of Eo. For it to work, you would need to solve edges in pair or something but that ends up as LMCF
 
1. 2x2x2 in BDL (6 moves)
2. Pair in FDL + E-slice EO (6 moves)
3. 2x2x1 added on to the 2x2x2 in the back to form a 2x2x3 + 1 pair (8 moves)
4. Final E-slice edge with LL EO (6 moves)
5. COLL (10 moves)
6. L5EP (10 moves)

Now I get the main aspect of the method.
Is the Corner at FDR solved with Step 4?

This seems like a decent method, the only new thing is placing the E-Slice edge and orienting the rest of the edges.

Example Solve:
Scramble: B2 U B D' F B2 R' L D L2 U2 F' U2 R2 B2 R2 D2 F' U2 B
41 STM Solve, I think Step 4 will take more moves than Step 3, as adding Last Layer Orientation and FDR Pair will likely take more moves.

x' //Inspection
U2 F2 U2 R B' //2x2x2
D R2 D' F //Pair + E-Slice Orientation
R U' R2 U2 R2 //2x2x3 + Pair
U R' F' D R2 U R D' R2 F' //F2L-1E + Edge Orientation
R U R D R' U' R D' R2' //COLL
M u2 M U' M' u2 M' U2 //L5E
 
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Since it's ZZ you don't have to do vhf2l. I guess your next step is pretty much tsle. Instead of doing three sledge hammers and a pll you just do a ttll to solve the whole cube. You are doing two extra looks than zz-ct.
I've been searching for TSLE and TTLL but can't seem to figure out what are they or find any algs, also, I have watched ZZ-CT video and think it's pretty cool, but are there any published algs yet?
 
I've been searching for TSLE and TTLL but can't seem to figure out what are they or find any algs, also, I have watched ZZ-CT video and think it's pretty cool, but are there any published algs yet?

I heard the guy who invented the method and put up the video has all the algs, but he wants to wait until he optimizes everything first.

He told me that he wanted to smoothly iron everything out when he shows it to the general public.
 
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Thanks, that really helped me a lot, the fact I also use green on bottom, white on front made the walkthrough so fluid. I am going to play using triggers to orient corners and see what other pretty things I can find.
 
Thanks, that really helped me a lot, the fact I also use green on bottom, white on front made the walkthrough so fluid. I am going to play using triggers to orient corners and see what other pretty things I can find.
Yeah this method is really nice. I've been playing with it over the last week. I haven't learned very many of the algs but I generated full tsle and the 2gen set of ttll. It's really weird how the tsle algs can be good and yet still be almost optimal qtm. The method is so nice <3.
 
Yeah this method is really nice. I've been playing with it over the last week. I haven't learned very many of the algs but I generated full tsle and the 2gen set of ttll. It's really weird how the tsle algs can be good and yet still be almost optimal qtm. The method is so nice <3.

Aw shucks thanks <3

What's your solution for 5 corners misoriented? Mine's long and ugly and I need a better one.
It's the one that has all for U corners rotated clockwise

My alg is U R2 U2 R' U' R U' R2 U2 R U' R'

Which isn't anywhere as elegant as I want it to be :(

Good luck genning, multiple people generating leads to long term innovation :)
 
Aw shucks thanks <3

What's your solution for 5 corners misoriented? Mine's long and ugly and I need a better one.
It's the one that has all for U corners rotated clockwise

My alg is U R2 U2 R' U' R U' R2 U2 R U' R'

Which isn't anywhere as elegant as I want it to be :(

Good luck genning, multiple people generating leads to long term innovation :)
For that case I have:

R U' R' U' R U R' U R U2 R'
 
U R U R' U R U' R' U R U' R' (12q*) - 12 HTM 2G
R U' R' U' R U R' U R U2 R' (12q*) - 11 HTM 2G
U R U R' U R U' R' U R U' R' U (13q) - 13 HTM 2G
U R U R' U R U' R' U R U' R' U' (13q) - 13 HTM 2G
U R' U' R' D' R U R' D R' U2 R' (13q) - 12 HTM
R U2 R' U2 R U R' U' R U' R' (13q) - 11 HTM 2G
R U' R' U2 R' U2 R U R' U R (13q) - 11 HTM 2G
R U' R' U' R U R' U R U2 R' U (13q) - 12 HTM 2G
R U' R' U' R U R' U R U2 R' U' (13q) - 12 HTM 2G
 
U R U R' U R U' R' U R U' R' (12q*) - 12 HTM 2G
R U' R' U' R U R' U R U2 R' (12q*) - 11 HTM 2G
U R U R' U R U' R' U R U' R' U (13q) - 13 HTM 2G
U R U R' U R U' R' U R U' R' U' (13q) - 13 HTM 2G
U R' U' R' D' R U R' D R' U2 R' (13q) - 12 HTM
R U2 R' U2 R U R' U' R U' R' (13q) - 11 HTM 2G
R U' R' U2 R' U2 R U R' U R (13q) - 11 HTM 2G
R U' R' U' R U R' U R U2 R' U (13q) - 12 HTM 2G
R U' R' U' R U R' U R U2 R' U' (13q) - 12 HTM 2G
What did u use to generate the Algs?
 
Yeah this method is really nice. I've been playing with it over the last week. I haven't learned very many of the algs but I generated full tsle and the 2gen set of ttll. It's really weird how the tsle algs can be good and yet still be almost optimal qtm. The method is so nice <3.
Would you mind/do you have algs posted somewhere? This method seems interesting and I think I might try to learn it.
 
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