4x4x4 methods

[Am1n-]

I have some time on my hands so I'm trying to get as many solutions (with different methods) for 1 scramble for the 4x4x4.
The one's I've already done:
- simple redux + fridrich
- k4
- Some meta methods (http://www.speedsolving.com/forum/showthread.php?t=17783&)
- cage and sandwich variations (cage, sandwich, a roux variation of sandwich)
- Human Thistlewaite(I'm going to post this solution, because I haven't seen anything on this for 4x4x4)

The ones I'm going to do:
- Blockbuilding/Heise
- ZZ ( if I find some info on miniGOINGS's variation I know he's working on)

So my question is: What other methods should I look in to? And if you want, could you post a solution for this scramble (see: end of the post) of that method.

I know there is a lot info on the wiki, but I'm basicly interested in 3x3x3 adaptations for the 4x4x4.

The scramble:
Uw' B L' F2 R2 D2 Fw2 Uw' L2 B2 Fw L' Rw2 R' Fw' L' R2 F2 Uw2 B Fw F2 U2 R B2 Uw Rw Fw2 Rw' Uw Rw D L' R U Rw U' B' R2 B2

 

[Am1n-]

HTA:

Scramble:
Uw' B L' F2 R2 D2 Fw2 Uw' L2 B2 Fw L' Rw2 R' Fw' L' R2 F2 Uw2 B Fw F2 U2 R B2 Uw Rw Fw2 Rw' Uw Rw D L' R U Rw U' B' R2 B2

Solve:
centers: B Rw2 L2 Uw2 R Fw D' B' Rw' B2 Rw (11/11)
Rest of the centers: R F' Dw' R Dw R2 B' Dw R Uw F Uw F Uw F Uw2 Dw' R2 Dw (19-1/29)
EO: F (R' D R) Uw' (L D2 L') Dw2 ( B D B') (L' D2 U' L)
Uw' (R U2 R') Uw (L' U2 L) Uw2 (B U' B') R2 Uw (L D2 L') Dw' F2 Dw
Dw R2 Dw R2 F2 Dw F2 Uw' R2 Uw R2 Dw2 (48/77)
CO: L’ U R2 U’ L U F’ U B2 U’ F’ D F D’ B2 D F’ (17/94)
8 dedges: D Rw2 U' R2 U' F2 U F2 Rw2 (9/103)
Rest of the dedges: R2 Uw2 Dw F2 Dw' F2 Dw' F2 Uw F2 Dw' F2 Dw F2 L2 Dw2 L2 Uw' (18-1/120)
Centers: U' l2 U' r2 U l2 U2 l2 U r2 U' l2 U2 (13-1/132)
F2 u2 r2 u2 r2 (5/137)
R2 u2 b2 u2 b2 (5/142)
Rest: R' F R' B2 R F' R U' R2 U R2 D2 F2 (13/155)
U M2 D2 S D2 S' D' S2 D'
F L2 F2 L2 F2 L2 F2 F'
D2 S' D2 S
E' B2 E B2
M' E2 M E2 (29-1/ 183)

alg.garron.us

mvg

 

[rachmaninovian]

hehe, mebbe i should post a sandwich solution just for fun.
skrambel: Uw' B L' F2 R2 D2 Fw2 Uw' L2 B2 Fw L' Rw2 R' Fw' L' R2 F2 Uw2 B Fw F2 U2 R B2 Uw Rw Fw2 Rw' Uw Rw D L' R U Rw U' B' R2 B2 (as abuv)
small letters are inner slice moves. :3

first center: y2 R' Uw2 U' y' Rw (4)
second center: z2 u Rw U2 Rw' (4)
F2C: 8 moves

FL corners: y L' U2 L y' z R U' R' U' R' U z' (9)
CLL: U R' F R U F U' R U R' U' F' (12)
corners: 21 moves

1st dedge: z' x' (R M)2 U' r' U2 M2 U' (6)
2nd dedge: (L M) U r' U2 M' U (6)
3rd dedge: x2 U' l U2 l2 U' (5)
4th dedge: Rw z2 R L U M2 U' (6)
5th dedge: (L M)2 l U r' U2 M' U (7)
6th dedge: (L' M') U' M' U (4)
7th dedge: (L M) L U' l' U (5)
8th dedge: Lw x' U R U' M' U R' U' (8)
first 8 dedges: 47 moves

B2D: L' B2 l2 B2 l2 (5)
L2D: x2 r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 (15)
midges: 20 moves


1st look centers: x' l' U r U' l U r' U' (8)
2nd look: y2 U r U' l' U r' U2 r U l U' r' U (13)
3rd look: x U l' U' r U l U2 l' U r' U' l U (13)
4th look: U' y' l' E l U2 l' E' l U' (9)
centers: 43 moves

total: 139 moves

finish

P.S. I did find better solutions after messing up the steps for the first 2 centers, like super easy centers/midges but harder dedges and stuff. Too lazy to refind them, though. I must comment that in this solution, the centers are pretty bad. I don't usually get such bad centers except like once in 15 solves, at the maximum?

 

[miniGOINGS]

Haha, I saw my name and was like "Ohhh..." but yea, I'm still working on it. I have 1 big thing that I'm trying to figure out; would it be better to solve F2L while edge pairing/EO, or complete edge paring/EO and then do the 3x3 solve?

 

[blade740]

Four by four? How about ROAR BY FOUR!!!!!

 

[Cyrus C.]

ROAR!, just 3 more...

 

[rachmaninovian]

Mack Daddy: kekekkeke

 

[blade740]

Did a 124 move (block turn metric) rouxbyfour (ROARBYFOUR) solve, but then after consulting alg.garron.us I think I messed up the scramble <_>

 

[somerandomkidmike]

I just got a 104-turn solve using my variation of sandwich, but I can't find the solve again! I know that I took 10 turns for the first two centers. The first layer was done after 25 turns. I can't remember what happened in the rest of the solve except for the centers only taking 2 algorithms.

I think I did one of the turns wrong in the scramble...

 

[rachmaninovian]

somerandomikekid: I found a solution with 2 look centers as well, but I couldn't find the solution again; it would probably be in the low 120s or perhaps below =P it has nice center control too...=(

 

[Am1n-]

Haha, I saw my name and was like "Ohhh..." but yea, I'm still working on it. I have 1 big thing that I'm trying to figure out; would it be better to solve F2L while edge pairing/EO, or complete edge paring/EO and then do the 3x3 solve?

I think that depends on how you do EOLINE:
-> full: all front, back and down centers are made + l and r D-edges (like a regular 3x3x3 EOLINE). I think edge pairing will have to be done in 3-cycles...
-> same as above exept you don't care about the u-layer, that way you can easaly pair edges with u/Uw turns
-> EOLine on the l-slice (or r slice). That way you can pair edges with r/Rw (or l Lw)

for the last 2, you probably will have to do centers last.

I'm also interested how you orient the edges, since I was told that edges only have a permutation on the 4x4x4, and no orientation)

mvg

 

[miniGOINGS]

Ok, here we go.

-> full: all front, back and down centers are made + l and r D-edges (like a regular 3x3x3 EOLINE). I think edge pairing will have to be done in 3-cycles...

This was the original idea, but it failed pretty fast.

-> same as above exept you don't care about the u-layer, that way you can easaly pair edges with u/Uw turns

I hadn't thought about this. EOline is an initial 2x2x4 block. But you would have to solve the U centers as well. I'll think about this.

-> EOLine on the l-slice (or r slice). That way you can pair edges with r/Rw (or l Lw)

This is what I'm working on.

for the last 2, you probably will have to do centers last.

Yea, I'm working on it.

I'm also interested how you orient the edges, since I was told that edges only have a permutation on the 4x4x4, and no orientation)

Well, I'm not actually orienting the individual edges, I'm orienting the dedges.