1. speedsolving methods (which gradually solve the cube, but mess up the unsolved part)
2. blind methods (which leave most of the cube untouched in each step)
3. Human Thistlethwaite (which doesn't solve anything until the very last step, instead the whole cube gets reduced into 'subgroups')...

Copy and paste the algorithms here to see what they do.
I do EP slice by slice, unless I see a shortcut. For a single slice, there are 5 cases:
case 1: the slice is one edge swap away from solved. alg: R2 U2 R2 U2 R2 U2 (which swaps two edges in another slice as well, because a single edge...

This is also quite good. Thanks for sharing this. I think I prefer Hoya to Yau because it's almost rotationless, but I've thought about using Yau for ZZ as well (unsuccessfully), and it's nice to see a solution to this problem.

This method is really well thought out. It doesn't look like much at first, which is why I tried developing my own 4x4 ZZ method based on the Ewert method. I thought my method turned out pretty decent, but then I compared it to Hoya-ZZ and, well, Hoya-ZZ is 10 times better than what I came up...

I'll just leave this here, for anyone who wants to know more:
http://www.math.rwth-aachen.de/~Martin.Schoenert/Cube-Lovers/Dan_Hoey__The_real_size_of_cube_space.html
https://en.wikipedia.org/wiki/Octahedral_symmetry
https://en.wikipedia.org/wiki/Burnside%27s_lemma

Before Morwen B. Thistlethwaite came up with his famous 52 move computer algorithm in July 1981, the best known method, also found by Thistlethwaite, was a 63 move solution. The only information I could find about this method is that it consists of these 3 steps:
Orient edges and get them into...

I actually want to use the shorter alg R U' R' U F' r U' L' U2 R' U R U' and not the conjugated PLL, which I just listed for comparison. And I forgot to consider that you have to do a x' rotation at the end of the shorter alg, but the rotation won't matter much.
Edit: That absurdly long...

So I want to learn COLL. When I am about to learn a new algorithm set, I just have to find the best algorithms, so I spent some time researching COLL algorithms. The most useful resources for finding LL algorithms I found are:
algdb.net
the wiki
birdflu.lar5.com
10 of the COLL algorithms that...

Different way to do EOCross:
Since z rotations don't change EO, you can build the cross on the right face (or the left side if you are left-handed) and do a z rotation afterwards. The steps are:
0. Rotate the cube such that the cross center faces to the right, and recognize EO just like you...

CLS (solve DFR and orient U layer corners) is used in 2x2GR
Edit: just saw that shadowslice already mentioned OLS, which is identical with CLS on a 2x2.

Isn't CPEOLL + 2GLL better than OLL + PLL for big cubes? The better ergonomics of 2GLL on big cubes should be worth the bad CPEOLL recognition. Or am I missing something?

Because of @Neuro s post I looked at the SSC method. I don't think the method I came up with has a particularly low move count, but I'll share it anyway.
1. EOLine on left and setup for OL5C.
2. OL5C
3. bring the cube into a state where the 2x2x2 block containing the LBD corner is solved.
4...

another method:
1. CPFB
2. COLine (orient all corners and place the E layer edges oriented in the E layer)
3. solve the DR corners relative to each other (so the R sticker of both DR corners is on the same face)
4. L7E similar to WaterRoux (~ 70 algs)
some details:
2. COLine: place a...

Can anyone explain to me how CPFB is done (corner permutation first block), or point me to a post where CPFB is explained? I can't seem to find anything about this.

I too think that blobl is not the best name and that Roux is better than this, because it has fewer steps. The appeal of the method (for me) lies more in the fact that it does not destroy regions of the cube that were solved in a previous step, like CMLL, OLL, PLL do.

According to your post, (if I understood you correctly), you do step 2 by building 2 pseudo-pairs (an oriented equator edge together with any corner, but the corner is twisted in such a way that inserting the pseudo-pair with R,U into an F2L slot would orient the corner), inserting one...

1. CPLine
2. finish left block, place RF/RB edges oriented in RF/RB (swapped or not swapped) and place any two corners oriented on DRF/DRB
3. orient corners with 7 algs that can't destroy much of right block and thus are short (longest algs are 11 moves and include sexy move)
4. EO similar to...

Yeah, no problem. Here's one example of a speedsolve with 49 stm:
y L2 B L2 D' R' F D2U2 R2 U'u2 R U2 R U' F2U' u2 R2 M2 U R u2U M' U2 MRU R2 U R' U2 R' U R U' R' R2 U' R2 U R2 U' R2M2 U M2 U
edit: here is another speedsolve with 49 stm (has a neat step 5+6, then again step 5+6 are designed...