Maybe I'm playing devil's advocate here, but let's not forget that roux with just 42 algorithms doesn't exactly come up short on that scramble either:
D2 F2 L' U2 R B2 L U2 B2 D2 R U' R U2 L' F' D F2 L U2
x y2 r u' F u U R u'
U R' U R U2 r2 U R' U2 R
U2 r' U r U r' U' r U R2' F R F' R
U' M U2 M U M' U2 M U2 // 40 stm

I know there's been a lot of discussion recently on this LLOB stuff, but I think in this case the simplest approaches might still be the best.
 
I think that Roux is an excellent method, I just like to have fun with this kind of stuff :) Roux with Tyrannical Caterpillar could be pretty insane and even Roux with just CMLL/standard LSE is really good. But I do believe that LLOB is still a method with serious potential. But if I'm wrong, at least I had some fun with it and inspired some people to help progress cubing methods.
 
Is it true that you can get faster times with CFOP with less effort than with Roux or ZZ. And that Roux and ZZ are faster than CFOP but with more effort?
 
Is it true that you can get faster times with CFOP with less effort than with Roux or ZZ. And that Roux and ZZ are faster than CFOP but with more effort?

yes for zz, zz will only be faster if you completely mesmerise full zbll.
no for roux, it really just depends on if your intuition or mesmerization is better.
roux vs cfop, neither is absolutely proven dominant in speed over the other.
 
Is it true that you can get faster times with CFOP with less effort than with Roux or ZZ. And that Roux and ZZ are faster than CFOP but with more effort?

I would say that cfop generally takes the least amount of effort to progress.

I would say that roux is likely to be faster than cfop, but you need to put in more work unless your brain is really good at patterns and intuition. Kian Mansour only took a few years to get world record speed with Roux.

A lot of people claim that zz has a ton of potential if you learn all of the algorithms. No one has managed to prove this(not even at home). I used to solve with zz, and besides the group of people that are learning ZZ-CT, I think that the community is shrinking as a whole as people are losing faith in the method.
 
Also how are columns first methods for speedsolving?
yes for zz, zz will only be faster if you completely mesmerise full zbll.
no for roux, it really just depends on if your intuition or mesmerization is better.
roux vs cfop, neither is absolutely proven dominant in speed over the other.
I agree that ZZ is only good with ZBLL and we're still waiting for someone to get good with ZZ-CT. ZZ Should really only be used if you want to be really good at OH just like Phil Yu.​
 
Watch out for Andrew Nathenson AKA Colorful Pockets, I think he's getting close to sub 10 with CT. He's pretty good at OH also, if I remember right he gets about 13 secs.

As for columns first, it doesn't seem all that great to me, although I can't say for certain as I've never used it/spoken with someone who uses it. It seems like lookahead for edges would be difficult and fixing centers would be a pain. Also, it doesn't seem very efficient, and that paired with the odd ergonomics and lookahead makes it look to me as though it isn't capable of being as good as Roux/CFOP. But who knows, I've been wrong before. If you want to try it, go for it!
 
My friend mains roux, but solved with columns first for a while. His opinion is that columns first is basically a worse version of roux. Though, if you are terrible at block building, columns first can be easier than roux.
 
New unnamed zz/roux varient

Step one: Orient all edges as in ZZ.

Step two: Do f2l, ONLY f2l and no cross, don't use f and b moves.

Step three: Orient last layer corners (if you want to have an epll for pll you can use cmll).

Step four: Insert edges with roux insert M' U2 M.

Step five: PLL.
 
I think it's time we take a break from trying to create new 3x3 methods, it's been quite a long time since somebody proposed one that actually went somewhere. We should start working more on methods for different cubes, like 4x4 or big cubes.
 
I think it's time we take a break from trying to create new 3x3 methods, it's been quite a long time since somebody proposed one that actually went somewhere. We should start working more on methods for different cubes, like 4x4 or big cubes.

I wouldn't necessarily say that methods don't go anywhere. A big problem is the huge time commitment needed to explore, tweak and master any new method, and while many people are willing to quickly 'hash out' a new method, very few are willing to make the huge investment of time to master it. I proposed LMCF 1.5 years ago and I'm still practicing and modifying it in many ways and making great progress but it is all irrelevant until I can register some official results. WaterRoux, ECE/SSC have potential but no one has invested the time to actually get good at them (yet). Same for a number of the other proposed methods.

In my own experiments I have found that [L,l,U,M] sets are WAY faster than the generally preferred [R,r,U,M], at least for me as I use left ring for M moves and a very unusual method of fingering L moves (I hold left hand below the cube and use right index on L, just the same way as you hold left ring for M). This style of fingertricking makes [L,l,U,M] sets very fast, although in theory you can reverse the finger trick style and use the same style for [R,r,U,M] if you can do M moves with right ring finger. Right now I am mostly working on improving lookahead from corners to E2L transition and also extending the transition to solve more U layer edges, forcing the remaining E2L into [L,l,U,M] drastically improving the ergonomics of the E2L phase while maintaining the same low movecount from before.

After watching Feliks' walkthrough of his 4.73 where he saw the cross and 3 pairs (4+2+2+2 = 10 pieces) in the inspection, I am wondering which method allows you to see the most moves in the inspection? My personal best was 10 pieces when I saw a CLL skip (8) + 1st E2L pair (2) in the inspection. We theorized in WaterRoux that on rare occasions you could see the whole first block (5) + the remaining 6 corners [11 total] in the inspection.

Can anyone share (A) largest number of pieces ever seen in the inspection, and (B) method that sees the most in the inspection in general? LMCF allows a 2x2 start so you normally see 8 pieces in the inspection; most expert CFOP solvers see the cross and 1 pair [6] and rarely the XCross and 1 pair [8], and I suppose extremely rarely, 10 pieces like Feliks saw. I've heard that Alex Lau has seen both Roux blocks in the inspection (true or false?) that would be 10 pieces as well.
 
On average, I think 2GR plans 11-13 moves in inspection, during which it solves 3 pieces and heavily reduces everything else.

Interesting figures about first steps:
After cross, there are 8! CP * 3^7 CO * 8! EP * 2^7 EO / 2 permutation parity = 227,546,313,523,200 possible states.
After FB, there are 6! CP * 3^5 CO * 9! EP * 2^8 EO / 2 permutation parity = 8,126,654,054,400 possible states.
After EG, there are 12!/2 EP * 2^11 EO = 490,497,638,400 possible states.
After Ribbon, there are 8! CP * 3^7 CO * 7! EP * 2^6 EO / 2 permutation parity = 14,221,644,595,200 possible states.
After EOLine, there are 8! CP * 3^7 CO * 10! EP * 1 EO / 2 permutation parity = 159,993,501,696,000 possible states.
After 2GLine, there are 120 CP * 3^5 CO * 11! EP * 1 EO / 2 permutation parity = 581,986,944,000 possible states.
After 2x2x2, there are 7! CP * 3^6 CO * 9! EP * 2^8 EO / 2 permutation parity = 170,659,735,142,400 possible states.
 
BeltFOP:

Cross+2/4 Belt or Full Belt (2/4 Belt > Solve 2 F2L with empty belt slot)
KeyholeZZ-F2L
OLL/COLL
PLL

Beginner BeltFOP:
Belt
Cross+EO (RouxVH) or without EO
KeyholeZZ-F2L
Easy COLL (do 2-look OLL first if LL edges arent oriented)
PLL
(or 4LLL)
 
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