The 4x4x4 example solve game

[BenChristman1]

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'

 

[DNF_Cuber]

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'

yau/yau5
136stm
U Lw Dw' U2 Fw'// First center 5/5
x Rw U2 Rw' U2 Fw2 F2 Rw F2 Rw'//Second center 9/14
y' D' R U' Lw L' F' U' F R F' Lw L' U// 3 edges 13/27
Rw2 B' Rw2 R x'//Orange center 4/31
U Rw U' Rw' L' B' 2L2 B2 2L2// Green center 9/40
x' 2L' U' 2L U 2L' U2 2L z'// L2C 7/47
D R U R' Dw R U R' Dw' F// Last Cross Edge 10/57
y' U L U' L' D2// BL slot 5/62
Uw2 U' R' U R Uw2//Edge stuff 6/68
y Uw' R U R' F R' F' R Uw//more edges 9/77
U R U' R' U' L' U L Uw' R U R' F R' F' R Uw// Final edge stuff 17/94
L U' L' y U L' U2 L U' L U L2 U2 L U L' U' L//3x3 F2L 17/111
U2 R U R' U R U2 R' F R U R' U' F'//3x3 OLL 14/125
U2 x R2 D2 R U R' D2 R U' R B//PLL 11/136
Next: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'

 

[Pyjam]

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

yau/yau5

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
—

 

[Cubing Forever]

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

Yau with a Mehta twist:
f R f u U r U' r' //yellow center+ white bar
2U U' f' U2 f //F2C
u' L u2 D2 L' u' R' U F2 //cross edges
z L2 3r2 U 3r U'3r2 U2 3r' //half centers
U' r U r2 3r' U r2 U' r2 //last 4 centers
z' R U R' U' L F' L' F 2D2 L' U' L 2D2 D F2 //Last cross edge+ 1 edge
u R U' R' y R U R' F R' F' R y R' F R F' u' //some edges
R U R' L' U2 L U L U' L' //get edges to U layer
y d R U R' F R' F' R d' //slice flip slice
y2 d R U R' F R' F' R d' //another slice flip slice
y d R U R' F R' F' R d' //L2E
3u' R2 3u U2 L U' L' U2 L U' L' //223
//333 stage
e R' U R e2 //3QB
R2 U R' U' R' s' U s //EOLE
R' U2 R U' R2 U2 R2 U2 R' U' R //6CO
U2 R2 U R2 s R2 s' R2 //APDR
2R2 U2 2R2 u2 2R2 u2 D' //Parity
U' R U R' F' R U2 R' U2 R' F R U R U2 R' U' //PLL

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

 

[DNF_Cuber]

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

y
U Rw R Dw' U' Rw//First center
x Lw' U2 Lw 2F' Dw R2 Dw'//Second center
y U' Rw F' x' Rw L F R L' x' U' Rw2 L2 U'// 3 edges
Rw' D Rw2 x2 U 2L' U 2L 3Rw' 2L' U2 2L U' Rw U' Rw'//Centers
z' D F' L' U L Uw L' U' L 2U' F2// Last cross edge
R' U R2 U' R' Uw' F' U F Uw//Some Edges
R U2 R' Uw' F' U' F Uw//More Edges
y' L U' L' Uw' F' U F Uw// Finally done with edges
U R U2 R' U2 L' U' L y L' U' L U' L' U L R' U' R2 U2 R' U R' U' R//F2L
U Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'//Parity
U' R U2 R' U' R U' R'//OLL
R U R' U' D R2 U' R U' R' U R' U R2 D' U'//PLL
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

 

[Christopher Mowla]

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]

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]

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]

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

98 STM. Nice score for redux but with parity !…

2B 2U' F D r F2 d' F2 d // (9) 3 centers
x U' r2 U r' R' U' B' R2 B F' R' F r' // (22) 6 centers + 3 edges
u2 B' D B R U2 R' u // (30) 7 edges
U B' U' B2 U2 B' D R' D' R u2 L' D2 L u' // (45) 12 edges
z y L' F' // 3/4 Cross
R' U L2 U L R2 U L2 // F2L 1
R' U B' R2 B // EO-1e
R' L' U2 L U' R2 U2 L' // F2L 2+3
U' 2R' U2' r U2 r' F2 r2 U2' r U2 r' U2' F2 r2 F2 // (Malus: +15) Parity :0(
U R' U R // F2L 4
y' R' U2 R' D' 3r U2 3r' D R2 U // (98) ZBLL

NEXT : 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'
—

 

[Pyjam]

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'
—

 

[Christopher Mowla]

FMC : 77 HTM / 77 STM - My PB in HTM metric

Back in the day, when I was interested in 4x4x4 FMC via reduction, well, you can see in that post that I reduced one of the positions with 48 HTM. But I haven't done 3x3x3 FMC at all (despite that I know the basics). So, really impressive!

 

[Pyjam]

So, really impressive!

Thank you, it's great honor.
Still, I feel like an amateur compared to trangium and xyzzy.

Btw, I believe the STM metric is more appropriate for big cubes FMC. My PB is 70 for 4x4 (see previous page).

I didn't knew the existence of this thread. Thank you for spotting it to me.

 

[Christopher Mowla]

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!)

 

[Pyjam]

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'

FMC : 75 HTM / 70 STM
New PB

// (HTM / STM)
x y' 2L' b' D' L F' 2R f' U2 2F // (12/9) 2 centers + 2 edges
x2 m' D r D' F' r' // (19/15) 3 centers
U2 r2 D2 r' U' r' // (25/21) 4 centers + 3 edges
U B' R L2 s z' R2 F r // 6 edges
U R' L' U D L D' r' // (42/37) 6 centers + 9 edges

R2 u' R' D' R u // (48/43) REDUCTION COMPLETED

z F D2 U' R2 L F' // Edge orientation
R2 U L2
(F' R F' R' F2) U' (F L' F U F' U' F') // corner permutation
U2 R2 U' R U' // (+27/+27) SOLVED

// SKELETON for the 3x3 part :
// F D2 U' R2 L F' // (6) EO
// R2 U L2 R F2 R' U' L' // (14) Left block
// U2 R2 U' R U' // (19) AB5C

This time I managed to get a decent score on the 3x3 part.

NEXT : Fw2 F2 R2 Rw2 D2 B Uw2 B2 Rw2 Uw2 B U B L2 R2 Fw2 R' Fw Rw' Fw2 R' F2 Fw' L2 Uw' Fw2 L Uw Rw2 L2 Uw' B2 D2 F' Uw B' R' B2 R B
(Looks good)
—

 

[Cubing Forever]

Fw2 F2 R2 Rw2 D2 B Uw2 B2 Rw2 Uw2 B U B L2 R2 Fw2 R' Fw Rw' Fw2 R' F2 Fw' L2 Uw' Fw2 L Uw Rw2 L2 Uw' B2 D2 F' Uw B' R' B2 R B

198 STM, 202 ETM
b2 3u F2 r L U r2 U L //yellow center
R 3u r U2 r' u2 e' F2 r U2 r' //white center
R' F R u' FU R u' D L' D z //cross edges
U2 r D2 U' 2R2 D2 U2 r U' B2 2R B2 //half centers
r U' r' U2 r U' r2 //Last 4 centers
r2 R U R' U' r2 R2 F' U F z' //last cross edge
u R' U R2 U' R' L U' L' U2 R' U R L' B L B' u' R U R2 U R L U' L' //4 edges
d R U R' F R' F' R d' y2 u' R U R' F R' F' R u L' U' L //slice flip slices
u' R U R' F R' F' R u R' L U2 L' R U L2 F' L2 F y //Slice flip slices+ F2L pair
u' R U R' F R' F' R u //L2E
//333 Stage
U R' U R U' R' U' R //Pair
U2 R U R' U2 L' U' L //pair
U R U' R' U R U' R' //pair
//no OLL parity yay!!
U2 R' U' R U' R' U R U R B' R' B //OLL
U 2R2 U2 2R2 u2 2R2 2U2 //PLL parity
U2 F R U' R' U' R U R' F' R U R' U' R' F R F' U //PLL

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

 

[Pyjam]

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

 

[Cubing Forever]

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

No next so I'll use my scramble again
255 ETM lol
u F r U r2 R' d l U2 l' d F 2U' U2 l'U2 r' //F2C
x' F' D' F u L R2 u D' F' R' u2 D2 L D2 //cross dedges
z 3r U 3r' r' 3r U D2 2R2 U2 2R2 D2 r' 2L' U2 2L //half centers
r2 U r' U' r2 U r2 U' r' //Centers
z' R' U2 R L2 U R' F R F' R U R' L' 2U F U' F' 2U' L' y' 2U' R U R' L' U L 2U //complete petrus block
u' R U R' F R' F' R u R U2 R' U F R' F' R U' L' U L d R U R' F R' F' R d' L' U L U' F R' F' R d R U R' F R' F' R d' U F2 R U' R' F' L F L' u' R U R' F R' F' R u L' U' L u' R U R' F R' F' R u L' U' L u' R U R' F R' F' R u //last 7 edges
//3x3 Stage
U' R U2 R' F U F' U R' F R F' R U' R' //F2L
r U2 x r U2 r U2 r' U2 l U2 r' U2 r U2 r' U2 r' //OLL Parity
U2 R U R' U R U' R' U' R' F R F' //OLL
2R2 U2 2R2 u2 2R2 u2 F R U' R' U' R U R' F' R U R' U' R' F R F' U //PLL

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

 

[Pyjam]

There was no next on purpose, because I did not use your scramble.

 

[xyzzy]

Still, I feel like an amateur compared to trangium and xyzzy.

You've already beaten my 4FMC PB, lol. Maybe I should give it a try again.

 

[Pyjam]

You've already beaten my 4FMC PB, lol.

Really? 75 is my PB for Mo3, btw.
Your UWR for 5x5 and 7x7 seem unbeatable.
Fortunately, I managed to get the UWR for 6x6.*
(*: UWR with parity does not look very serious. I should give it another try.)