The "Request an Alg" Thread

[unsolved]

You can of course wait for someone else to reply, but I can't get 10 either. So 12 is most likely is optimal (but I'm not a computer, so perhaps it's possible).

If you can't improve on it, that's good enough for me. If anyone can find a 10-move solution, please bring it to my attention.

 

[CAL]

For some reason, I missed the part "Because inner-layer moves suck" when I first saw your post, but looking at it again since unsolved replied,

Standard algorithms have 5 inner layer slice turns, because, for example, instead of having 7 inner slice turns with the "old standard" alg:
3R2 B2 U2 3L U2 3R' U2 3R U2 F2 3R F2 3L' B2 3R2
we can instead make the first and last inner slice turns into wide turns and achieve the same result:
3r2 B2 U2 3L U2 3R' U2 3R U2 F2 3R F2 3L' B2 3r2

---

It seems like you want algorithms which handle this "pure" case which have fewer than 5 inner layer slice turns.

I will list algorithms that I found by hand which conform this this idea.

Here are two very short algorithms (the first I named "cmowlaparity") which only contain 3 inner layer slice turns. (Note that you may convert the inner slice turns of the first alg into wide turns for traditional speedsolving use, but not in the second one.)
x' 3r2 U2 3l' U2 3R U2 3r U2 x' U 3R U' F2 U 3R' U 3r2 x
x' 3r2 U2 3l' U2 3R U2 3r U2 x' U' 3R U F2 U' 3R' U' 3r2 x

If you want algorithms which only contain 3 inner layer slice turns that only contain face turns of U, here is one such alg (longer):
3r U2 3r2 U L' U 3R U' L U2 L' U 3R' U' L U 3r' U2 3R U2 3r' U2 3r'

---

If you want algorithms which only contain 2 inner layer slice turns, here are two such algs. (Even longer).
3r U2 3r U 3r U2 3r U2 3r' U2 3r' U 3R' U' 3r U2 3r U2 3r' U2 3r' U 3R2 U2 3r' U2 3r'
3r U2 3r U' 3r U2 3r U2 3r' U2 3r' U' 3R' U 3r U2 3r U2 3r' U2 3r' U' 3R2 U2 3r' U2 3r'

---

I'm pretty sure algorithms which only contain 1 inner slice turn for this case do not exist/are impossible, despite that 0 inner layer slices is possible for the 4x4x4 case and the 5x5x5 case.

(Note, however, that 1 inner slice turn is sufficient for the adjacent double parity case (I also found this by hand), for example.)

Note that I did not find these two linked 0 inner layer slice algs by hand: they were found using k-solve--the 4x4x4 alg by Bruce Norskog and the 5x5x5 alg by Ben Whitmore.

I do note, Lucas Garron as my witness, that I was the first to publicly post such an alg for the 4x4x4 case (which I did find by hand) which is nearly 200 moves long (my first was about 1100 moves long, but then I decreased it to about 200 moves before the optimal algorithms were found with k-solve). You can find my explanation for how I found this in the "Derivation" spoiler within the "2-Gen 2-Cycles" spoiler in this post.

Happy solving!

---

EDIT (hopefully my final one):

Just in case you're curious, based on the 0 inner slice turn algs I linked to above, I did find a relatively brief pure 3 dedge flip algorithm by hand which contains 0 inner layer slices.
r U2 r U2 r U R U r U2 r' U' R' U' r' R' U R U r U2 r' U' R' U' r U2 r' U2 r'

In addition, if you solve the last layer of the 4x4x4 by solving corners first and dedges last, here is a pretty fast 3 flip double parity I found by hand using a similar idea to the above which only contains only 2 inner layer slices.
r' U2 2R U2 r' x' U2 2R' U' R' U' r' U2 r U R U' r R U2 x

Wow :O
Huge Thanks
So now I have to find the Most fingertricky-one for me.

 

[Joshuadalee]

N-perm

Here are the ones that I have now

na perm= (r' D' r U2) x5
nb perm=(r D' r' U2) x5

I am looking for better ones, maybe some with less than 20 moves

 

[Goosly]

We have a wiki with tons of PLL's

 

[muchacho]

I was using this Nb perm (for Roux):
(R' U L' U2 R U' L)2 U

Short but not that fast, I'm going to replace it with this one:
R' U R U' R' F' U' F R U R' U' R d' R U R'
(or R' U R U' R' F' U' F R U R' F R' F' R U' R)

 

[Kudz]

I was using this Nb perm (for Roux):
(R' U L' U2 R U' L)2 U

Short but not that fast, I'm going to replace it with this one:
R' U R U' R' F' U' F R U R' U' R d' R U R'
(or R' U R U' R' F' U' F R U R' F R' F' R U' R)

Actually thanks, I need to replace it too. What do you use for Na?

 

[Felipe Rigon]

Thank you I am definitley changing to that
one. Now I just need to replace Na, is there a right handed one like this?

I like this one: R U R' U (R U R' F' R U R' U' R' F R2 U' R') U2 R U' R'

https://alg.cubing.net/?type=alg&vi...R_U_R-_F-_R_U_R-_U-_R-_F_R2_U-_R-)_U2_R_U-_R-

 

[Joshuadalee]

I like it. Thank you!

 

[muchacho]

Actually thanks, I need to replace it too. What do you use for Na?

I don't use Na, I only need one N perm (or any other that does a diagonal corner swap) for Roux.

 

[Berd]

I don't use Na, I only need one N perm (or any other that does a diagonal corner swap) for Roux.

But an e perm is so much faster!?

 

[muchacho]

But an e perm is so much faster!?

What E perm is good? I'll try it, I still have not replaced that (R' U L' U2 R U' L)2


edit: this one? (x') R U' R' D R U R' D' R U R' D R U' R' D' (x)

 

[TDM]

But an e perm is so much faster!?

For me, although an E perm can be faster, it's much harder to be consistent with them in speedsolves. I use Y perm for diagonal swap in Roux.

E: yes Muchacho, that one. I do the x' R in one move (Lw).

 

[muchacho]

Thanks, I'll try that.

 

[unsolved]

Was messing around and created this...

...but I forgot what I did

Anyone recognize the Alg for this pattern?

 

[Christopher Mowla]

Was messing around and created this...

http://s15.postimg.org/mov3u6e8r/image.jpg

...but I forgot what I did

Anyone recognize the Alg for this pattern?

I found a 14 move single slice turn generating solution. 2L' 2R 3B 2L 2R' 3B' 3L' 2B 3B 2F' 3R' 2B' 3B' 2F

 

[Cale S]

Was messing around and created this...

http://s15.postimg.org/mov3u6e8r/image.jpg

...but I forgot what I did

Anyone recognize the Alg for this pattern?

2L' 2R 3B 2L 2R' 3B' 3L' F B' 3U F' B

12 stm

 

[Christopher Mowla]

2L' 2R 3B 2L 2R' 3B' 3L' F B' 3U F' B

12 stm

Thanks for simplifying the second half of my alg and taking off two moves. (I wasn't thinking straight when I posted that.)

 

[unsolved]

I found a 14 move single slice turn generating solution. 2L' 2R 3B 2L 2R' 3B' 3L' 2B 3B 2F' 3R' 2B' 3B' 2F

That's pretty neat but my crosses were only on 3 sides.

 

[guysensei1]

2L' 2R 3B 2L 2R' 3B' 3L' F B' 3U F' B

12 stm

F' B isn't one move in STM?

 

[SpeedCubeReview]

What is an alg to rotate the center of a Megaminx super cube?