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4x4x4 God's Number Position Hunt

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unsolved

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So far, I believe the lower bound for God's Number for the 4x4x4 is set at 32 moves. That should mean we can solve every tough scramble in that many moves if we put our collective minds to the task.

I have a 37-move scramble that creates this position:

37.png


Can anyone solve this faster than 37 moves (not using OBTM)?

If it can be solved faster, maybe we can post positions here that are believed to be of "God's Number Length" and the rest of us can take a shot at solving them faster.

The person who solves the position fastest is the one who can post the next attempt.
 
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L' F' L R' Rw U2 Rw' U2' Rw U2 Rw U2 Lw' U2 Rw U2' Rw' U2 x' U2' Rw2 U2 R L' F L

26 moves, 34 when outer slice moves count as two moves.
 

TDM

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L' F' L R' U2 Rw2 F2 Rw U2 Rw U2 x U2 Rw U2 Rw' U2 Rw U2 Rw2 U2 R L' U L

24 moves, different double parity alg.

E: wait, what metric are we using? If we're counting wide moves as 2, then this is 31 moves.
 
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unsolved

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L' F' L R' U2 Rw2 F2 Rw U2 Rw U2 x U2 Rw U2 Rw' U2 Rw U2 Rw2 U2 R L' U L

24 moves, different double parity alg.

E: wait, what metric are we using? If we're counting wide moves as 2, then this is 31 moves.

I was politely requesting not using OBTM. I have an OBTM solution already. I was interested in seeing other solutions.
 

Jokern

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I was politely requesting not using OBTM. I have an OBTM solution already. I was interested in seeing other solutions.

When you say not OBTM, there is still several other metrics to choose from. Could you be more precise?
 

unsolved

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When you say not OBTM, there is still several other metrics to choose from. Could you be more precise?

I forget the name of the metric where you don't use block moves such as F f and U u. I think it's just one of the half turn metrics?

However you would describe something like this:

Code:
Solution [001] =  U2 l2 U2 F2 l  F2 l' F2 l2 [inside 6-TFS] ---> U2 r  U2 r' F2 l   @ 0000406465872 nodes with 0006985517899 6-TFS probes   
Solution [002] =  D2 r2 F2 r  F2 r' F2 D2 r2 [inside 6-TFS] ---> D2 r' F2 l  D2 l'  @ 0001824428262 nodes with 0013045561714 6-TFS probes   
Solution [003] =  D2 l2 F2 l' F2 l  F2 D2 l2 [inside 6-TFS] ---> D2 l  F2 r' D2 r   @ 0001844715291 nodes with 0013132289376 6-TFS probes   
Solution [004] =  r  F2 r' F2 l  B2 r2 B2 D2 [inside 6-TFS] ---> l  B2 r' B2 l2 D2  @ 0002432573235 nodes with 0015644898845 6-TFS probes   
Solution [005] =  r  F2 l' U2 l  U2 r2 F2 r' [inside 6-TFS] ---> F2 r  F2 U2 r2 U2  @ 0002433795581 nodes with 0015650127901 6-TFS probes   
Solution [006] =  r  B2 r' U2 r  U2 l2 B2 r' [inside 6-TFS] ---> U2 l  U2 F2 l2 F2  @ 0002506684772 nodes with 0015961661391 6-TFS probes
 

unsolved

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I believe unsolved's metric is just a 4x4x4 version of STM, so the only thing that counts as 1 move is a turn of a single layer by any amount.

Couldn't have said it better myself.

For some reason I was thinking Single Turn Metric was counting a move such as U2 as 2 moves, which, of course, is not correct.

I created the original position by just fusing together the 22 move (STM) for the corner swap with the 15 move (STM) single dedge flip for 37 moves total.

Based on the responses, are the outer block turn solutions the shortest ones for this position if you count moves using STM enumeration?

I am genuinely impressed by the low move counts I have seen. I have no idea how you guys worked them out!
 
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TDM

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I have no idea how you guys worked them out!
Rw2 B2 Rw' U2 Rw' U2 B2 Rw' B2 Rw B2 Rw' B2 Rw2 B2 (U2) is usually used as an OLL parity alg. However, it also swaps two corners; the first four moves are setting up the corners to be swapped to the right place, and the last four moves are undoing the setup moves.
 

Stefan

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For some reason I was thinking Single Turn Metric was counting a move such as U2 as 2 moves, which, of course, is not correct.

STM is slice turn metric, not single turn metric.

Now that this has been cleared up, I suggest you either add "STM" to the thread title or change it to say "God's Numbers" or switch the content to OBTM (I'd say "the" 4x4 God's Number should correspond to "the" (3x3) God's Number").

I am genuinely impressed by the low move counts I have seen. I have no idea how you guys worked them out!

Did you skip the posts where we explained it?
 
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