• Welcome to the Speedsolving.com, home of the web's largest puzzle community!
    You are currently viewing our forum as a guest which gives you limited access to join discussions and access our other features.

    Registration is fast, simple and absolutely free so please, join our community of 35,000+ people from around the world today!

    If you are already a member, simply login to hide this message and begin participating in the community!

The 4x4x4 example solve game

BenChristman1

Member
Joined
Oct 26, 2019
Messages
2,679
Location
The Land of Eternal Winter
WCA
2019CHRI11
YouTube
Visit Channel
NEXT : U2 F Rw L2 F' R' U L Rw' B L B' Uw2 Rw' B D2 F' U D' B U' Rw2 Fw2 Uw' D F2 Uw' D' B' Fw2 F' R2 B2 Rw Uw U F2 Rw2 U' B
Yau, 166 STM (lol)

x2 // Inspection

D U l D r2 // white center
U l U l' 2U' F2 r U2 r' // yellow center

y F R' u L // white-red edge
D U2 L u L // white-blue edge
y U' D' L u' F // white-orange edge

z U2 3r' U 3r r2 U' r // green center
r2 U' r2 3R2 U' 3R2 // orange center
3r2 U 3R' U' r' U2 r U' r' // L2C

z' y L' U' L u L' U L u' 3r' U 3r D2 // white-green edge

u R U' R' U' R' U R y' L' U2 L u' // 3 edges
L' U' L u' F' U' F u // 2 edges
F U' F' u F U2 F' u' // 3 edges

U2 R U' R' // F2L 1
y U R U R' L U L' // F2L 2
U' R U R' U' R U R' // F2L 3
R' U R U' y R U2 R' U2 R U' R' // F2L 4

U r' U2 l F2 l' F2 r2 U2 r U2 r' U2 F2 r2 F2 // OLL parity

U' F' 3r U R' U' 3r' F R // OLL
R U R' U R U R' F' R U R' U' R' F R2 U' R' U2 R U' R' // PLL

alg.cubing.net

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

Pyjam

Premium Member
Joined
Oct 8, 2010
Messages
2,095
Location
La Baule, France
U2 L2 D2 R2 F2 R2 U' L2 U L2 U2 L' B R2 U' B L2 B' D' U' L Uw2 F D2 Fw2 Rw2 Uw2 R2 D' R2 L2 Uw2 F2 Rw' L F U' R B' Fw R' U2 Rw' Uw Fw' D'
4x4 FMC : 84 HTM
F r2 d F' l f R2 f' // (8) 2 centers
F' U2 B2 r' U F L F r2 F' r B U2 r
B' R L' B' r' R2 B' D' R2 D U' R2 U r' // (36) 6 centers + 5 edges
R' f' L' B L f' R F R' f' D' B D f' // (50) 12 edges
z' U2 F L F' D2 F' // (56) Dl block
D' F D' U2 B' U B2 D' B D B' D2 F' R2 F // (71) dl block + CP(*)
U2 s' U' s // (77) Edge Orientation
R2 U R U R U2 R' // (84) Solved

(*) : With insertions

Yau5 for 4x4? ;)

NEXT : U Uw2 Fw' D Rw L F2 L R2 U F2 B' L' B Rw' D' U Uw B' F R2 B L2 F' U' B2 U2 Fw Uw2 B2 Uw' U Fw2 Uw' B2 Rw2 F' Rw2 L R2
 

Christopher Mowla

Premium Member
Joined
Sep 17, 2009
Messages
1,005
Location
New Orleans, LA
YouTube
Visit Channel
Next: D R2 U2 B2 R2 F2 D R2 D F2 R2 D' R U F U L' F2 U' F' D Rw2 B U Fw2 U' F2 U2 L2 D B Rw2 B' Rw Uw2 Rw2 R2 U Fw L B2 Uw2 Rw R Uw
My first 2x2x2 reduction solve!

[Link]
//Wings
2L D2 2R' D2 2L' R2 U2 R' 2D' R U2 R2 U' L' F 2R2 F' L U F U' R 2U R' U F' U2 B' L2 2D2 L2 B U' F U' L2 2B2 L2 U F' U' D L' 2U' L D' U' L R' B' 2R' B 2U' L' D' L 2U L' D R U
//Centers
L' R' 2R' 2B' 2R 2B R L F' 2U' 2B' 2U 2B F 2B' U B 2F 2D' 2F' 2D B' U' 2B 2L 2D' 2L' 2D R2 U 2L' 2D 2L 2D' U' R F' D 2U L2 2L 2D' 2L' 2D L2 2U' D' F R
//2x2x2
Lw Fw' Uw Fw' Uw2 Fw Dw Fw' Uw Fw


Next: Uw U D Rw' B Rw' L Uw' L Rw Uw' Rw Uw2 R' L Rw Fw2 Rw2 D U' R Rw' Fw F2 Rw Uw U B R' Uw U2 Rw' R' Uw2 B R2 Uw2 F2 L' F Uw' Rw Uw2 Fw' Uw B' Fw R' U2 Rw2 B2 L' R F' Fw L Rw2 F Rw' R
 

Christopher Mowla

Premium Member
Joined
Sep 17, 2009
Messages
1,005
Location
New Orleans, LA
YouTube
Visit Channel
Thanks guys for the positive reactions! This solve is nothing in comparision to @xyzzy 's a little earlier in this thread. But I just added a few "modules" to the software that I wrote in Mathematica in the past to be like a visual tool for human and computer interaction -- where the software doesn't solve anything for you, but it:
  • First shows you the specific goal permutation of the wings and X centers that you need to do in order to bring the wings and X centers to the location of the corners. It does this by you inputting in the scramble as well as a 2x2x2 (all double layer) turn scramble which brings pieces from a solved 2x2x2 to be in the position that the corners are in. So that 2x2x2 position is the "solved state" rather than the actual solved state.
  • Then as you do moves, gives you updates with the required permutation to fully reduce the puzzle.
Also
  • Note that I have numbered cube designs that I made for the software, CubeTwister. I implemented that 4x4x4 numbered cube into CubeTwister so that it can treat the 4x4x4 as if it were a supercube (so that it's much easier to see exactly which pieces need to go where at any given point in the solve).
  • I actually was thinking about writing this software when I prompted @xyzzy to submit that 2x2x2 reduction solve, but I didn't feel like actually doing it until last night!
  • So unfortunately, this software is in Mathematica, but maybe in the future I can code it in Excel VBA (or write a generalized pseudo code for it -- if it isn't obvious how to implement something like this already).
Anyone interested in seeing a video demonstration of the software? (Not how it's coded . . . it's horrendous and unorganized (I will have to clean it up) . . . just the user interface?)
 

BenChristman1

Member
Joined
Oct 26, 2019
Messages
2,679
Location
The Land of Eternal Winter
WCA
2019CHRI11
YouTube
Visit Channel
Next: Uw U D Rw' B Rw' L Uw' L Rw Uw' Rw Uw2 R' L Rw Fw2 Rw2 D U' R Rw' Fw F2 Rw Uw U B R' Uw U2 Rw' R' Uw2 B R2 Uw2 F2 L' F Uw' Rw Uw2 Fw' Uw B' Fw R' U2 Rw2 B2 L' R F' Fw L Rw2 F Rw' R
Yau, 143 STM

z y' // Inspection

B L' u D2 r // white center
y' U2 r U r' l' U2 l // yellow center

z L D r' F // white-green edge
U r' L2 F // white-blue edge
L r' F' // white-orange edge

B2 r' L U l' // green center
L 3r U r U' r' 2L2 U2 2L2 // orange center
3r U' 2L' U' 2L r U2 r' // L2C

z' y F U2 F' u' R U' R' u D2 R' F R D' // white-red edge
u' y R U R' y U R U' R2 U' R u // 3 edges
y U' L' U L u' F' U2 F u // 2 edges
y U R U' R' u U F U' F' u' // 3 edges

U' R' U' R // F2L 1
L U' L' U' R U R' // F2L 2
y' U' R U R' U' R U R' // F2L 3
L' U L y U' L U L' U L U L' // F2L 4
F R U' R' U' R U R' F' // OLL
R U R' U' D R2 U' R U' R' U R' U R2 U D' // PLL

alg.cubing.net

Next: R2 D' B2 L2 B2 L2 F2 U' F' U2 L F' U' F2 U2 B L R Fw2 Rw2 F R2 Uw2 F' U' B2 F D' Rw' F L2 D R2 Fw2 B' Rw' Fw' U' R2 Fw' R B2
 

Pyjam

Premium Member
Joined
Oct 8, 2010
Messages
2,095
Location
La Baule, France

Pyjam

Premium Member
Joined
Oct 8, 2010
Messages
2,095
Location
La Baule, France
Rw B' R2 Uw' D2 Rw' F' B2 Uw2 D B2 Uw' L2 Rw' Fw' U B2 Uw2 Fw2 B2 R Rw' Uw' Fw' Uw2 R' D2 Fw' F' B2 L Uw R2 B Fw' U2 Rw B R' Uw'
FMC : 77 HTM / 77 STM
My PB in HTM

L' d r2 U' r // (5) 1 center 2 edges
z D' L2 U' r' R' B' d R2 d' // (14) 2 centers 2 edges
F' r2 L D' r U' r' F' U L2 U2 L2 U r // (28) 6 centers 6 edges

L u2 L U L R2 u2 // (35) 8 edges
D' F R2 u2 R' L' D' R L u2 // (45) 12 edges

R2 B' R U2 B2
D L2 D' R D L2 // Insert : Corner cycle
R F' // EO + Square
R' D R // F2L 1
L U2 L' U L2 // F2L 2
U R U2 L // F2L 3
U R' U R U' R' U2 // F2L 4


Note: The correct order of centers is fixed while forming the last 4 edges.

NEXT : B Rw' B Fw' R Fw2 R' Fw' Uw2 Rw2 D' Uw2 Fw U2 F2 Rw2 L2 R2 B F2 D' F D2 B' Fw U2 Rw U2 D B' U D B D' Rw R2 F2 L' Rw Fw'
 
Last edited:

Christopher Mowla

Premium Member
Joined
Sep 17, 2009
Messages
1,005
Location
New Orleans, LA
YouTube
Visit Channel
You're welcome. I just checked, and I got a 41 STM reduction in the second solve in the spoiler in this post. (And I see that you got a 39 STM reduction in that solve you were referring to. NICE!) If any of you don't comprehend those posts, I can (in the near future) whip of a video explaining the method. That way, you all can combine that with what you know now.

And although it will not help with fewest moves, I was interested in figuring out what the maximum required inner slice turns are required to pair all dedges on a 4x4x4 back in the day! (It's just 6!)
 
Last edited:

Pyjam

Premium Member
Joined
Oct 8, 2010
Messages
2,095
Location
La Baule, France

Pyjam

Premium Member
Joined
Oct 8, 2010
Messages
2,095
Location
La Baule, France
SPECIAL EDITION

I just broke the UNR of France for 4x4 FMC with 73 HTM (66 STM).

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

Solution:
x2 3u 2L D' L2 f // (6/5) 2 centers
R U l F U2 2L2 U F' 2L2 B r' D2 r' D m2 U r' // (26/22) 6 centers + 4 edges
L2 D L u // 6 edges
F D2 F' L' D2 L2 D2 L' u' // 9 edges
f' L' F' L f // (44/40) REDUX

x z2
R F2 L U2 F2 U' R' U L' U' (R L') U2 D R' F' R D' R L D // AB4E (R L' = -1 STM)
s2 D2 R' D2 s2 D2 // (+29/+26) PLL H


Easy start but then I had to avoid the parity for the 3rd center.

3x3 part done on reverse scramble:
z2 R' D R' // 2x2x2
L' D R' F R D' // EO
U2 L // 2x2x3
R' U L U' R U F2 U2 // AB4C
 
Top