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TCLL - 2x2 Method

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May 7, 2006
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2003POCH01
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StefanPochmann
#41
We originally started by looking at the cases where the two adjacent corners were facing opposite and same directions but then we decided to just do these first.
I don't really remember why to be honest. I think I just thought this might be more useful. I plan on generating algorithms for both of those sets too, at some point.
Alright. Just to be clear, though, those are also not the two cases I meant.

I just dug out stats from an old file about the 162 cases where DBL is solved and DFR, DLF and DRB can all be rotten. Looks like I didn't analyze the cases where all four can be rotten. There are duplicates, for example TCLL appears three times, once for each of the three rottable corners (and each time twice, for the two orientations). I named some cases, but just the first occurences. The stats are QTM. You can see the best cases average 1.000 moves less than CLL and never need more than 10 quarter turns, and that EG-2 is by far the worst case of all.

what DFR_DLF_DRB holds / min / average / max (QTM, apparently includes AUF)

Code:
RBD_FDL_DFR   6   8.907  10
DRB_RDF_LFD   6   8.907  10
FDL_DFR_RBD   6   8.907  10
BDR_DFR_LFD   6   8.907  10
LFD_BDR_DFR   6   8.907  10
DLF_BDR_FRD   6   8.907  10
DRB_LFD_RDF   6   8.907  10
DLF_FRD_BDR   6   8.907  10
LFD_RBD_FRD   4   8.920  11
BDR_RDF_FDL   4   8.920  11
FDL_RBD_RDF   6   8.938  11
RBD_FRD_FDL   6   8.938  11
FRD_DLF_RBD   5   9.012  11
RDF_FDL_DRB   5   9.012  11
FRD_LFD_DRB   5   9.012  11
RDF_DLF_BDR   5   9.012  11
LFD_FRD_DRB   5   9.031  11
RBD_DLF_RDF   6   9.031  11
FDL_FRD_DRB   6   9.031  11
RBD_DLF_FRD   5   9.031  11
FDL_RDF_DRB   5   9.031  11
BDR_DLF_RDF   5   9.031  11
RBD_FDL_RDF   7   9.037  11
RBD_LFD_RDF   7   9.037  11
FDL_FRD_RBD   7   9.037  11
FDL_FRD_BDR   7   9.037  11
DRB_RDF_FDL   7   9.043  10
DLF_RDF_BDR   7   9.043  10
BDR_FDL_DFR   7   9.043  10
LFD_RBD_DFR   7   9.043  10
DLF_RBD_FRD   7   9.043  10
LFD_DFR_RBD   7   9.043  10
BDR_DFR_FDL   7   9.043  10
DRB_LFD_FRD   7   9.043  10
LFD_RDF_DRB   7   9.062  12
BDR_DLF_FRD   7   9.062  12
DRB_DLF_FRD   4   9.068  12
DRB_DFR_FDL   4   9.068  12
DLF_RDF_DRB   4   9.068  12
DLF_RBD_DFR   4   9.068  12
LFD_DFR_DRB   4   9.068  12
BDR_DLF_DFR   4   9.068  12
LFD_DFR_BDR   6   9.080  11
DRB_FRD_FDL   6   9.080  11
RBD_DFR_FDL   6   9.080  11
DRB_FDL_FRD   6   9.080  11
DLF_RDF_RBD   6   9.080  11
BDR_LFD_DFR   6   9.080  11
FDL_RBD_DFR   6   9.080  11
DLF_RBD_RDF   6   9.080  11
BDR_RDF_LFD   6   9.093  11
LFD_BDR_FRD   6   9.093  11
LFD_DRB_FRD   6   9.099  11
BDR_RDF_DLF   6   9.099  11
RBD_FRD_DLF   6   9.099  11
FDL_DRB_RDF   6   9.099  11
LFD_BDR_RDF   5   9.111  11
FDL_BDR_FRD   5   9.111  11
BDR_FRD_LFD   5   9.111  11
RBD_RDF_LFD   5   9.111  11
LFD_RDF_RBD   6   9.111  12
BDR_LFD_FRD   6   9.111  12
BDR_FDL_FRD   6   9.111  12
LFD_RDF_BDR   6   9.111  12
RBD_RDF_FDL   7   9.136  11
BDR_FRD_FDL   7   9.136  11
FDL_RBD_FRD   7   9.136  11
LFD_RBD_RDF   7   9.136  11
FRD_FDL_RBD   6   9.142  11
RDF_FDL_RBD   6   9.142  11
FRD_LFD_BDR   6   9.142  11
RDF_LFD_BDR   6   9.142  11
RDF_RBD_DLF   6   9.154  12
FRD_DRB_FDL   6   9.154  12
[COLOR="#008000"]DFR_DLF_RBD   6   9.154  12 TCLL[/COLOR]
RDF_DLF_DRB   6   9.154  12
DFR_LFD_DRB   6   9.154  12
DFR_FDL_DRB   6   9.154  12
FRD_LFD_RBD   7   9.154  12
FRD_DLF_DRB   6   9.154  12
DFR_DLF_BDR   6   9.154  12
RDF_FDL_BDR   7   9.154  12
FRD_RBD_FDL   6   9.173  11
RDF_RBD_FDL   6   9.173  11
RDF_LFD_DRB   8   9.179  12
RDF_DLF_RBD   8   9.179  12
FRD_FDL_DRB   8   9.179  12
FRD_DLF_BDR   8   9.179  12
DLF_DFR_BDR   7   9.185  10
DRB_RDF_DLF   7   9.185  10
DLF_DFR_RBD   7   9.185  10
BDR_DFR_DLF   7   9.185  10
FDL_DRB_DFR   7   9.185  10
DLF_DRB_RDF   7   9.185  10
DLF_DRB_FRD   7   9.185  10
RBD_DFR_DLF   7   9.185  10
DRB_FRD_DLF   7   9.185  10
LFD_DRB_DFR   7   9.185  10
DRB_LFD_DFR   7   9.185  10
DRB_FDL_DFR   7   9.185  10
FRD_RBD_LFD   7   9.259  11
RDF_BDR_FDL   7   9.259  11
FRD_BDR_FDL   7   9.265  11
RDF_RBD_LFD   7   9.265  11
FDL_RDF_BDR   7   9.321  10
RBD_LFD_FRD   7   9.321  10
BDR_FDL_RDF   7   9.321  10
LFD_FRD_RBD   7   9.321  10
LFD_DRB_RDF   7   9.358  12
FDL_DRB_FRD   7   9.358  12
RBD_RDF_DLF   7   9.358  12
BDR_FRD_DLF   7   9.358  12
FDL_BDR_RDF   7   9.389  11
RBD_FRD_LFD   7   9.389  11
FRD_DRB_DLF   8   9.407  11
DFR_DRB_FDL   8   9.407  11
DFR_RBD_DLF   8   9.407  11
RDF_DRB_DLF   8   9.407  11
DFR_DRB_LFD   8   9.407  11
DFR_BDR_DLF   8   9.407  11
BDR_LFD_RDF   6   9.444  11
LFD_FRD_BDR   6   9.444  11
FDL_RDF_RBD   6   9.444  11
RBD_FDL_FRD   6   9.444  11
RDF_LFD_RBD   8   9.463  11
FRD_FDL_BDR   8   9.463  11
DFR_BDR_FDL   5   9.475  11
DFR_RBD_LFD   5   9.475  11
DFR_RBD_FDL   6   9.481  12
DFR_BDR_LFD   6   9.481  12
FRD_DRB_LFD   7   9.525  12
FRD_RBD_DLF   7   9.525  12
RDF_DRB_FDL   7   9.525  12
RDF_BDR_DLF   7   9.525  12
DLF_BDR_DFR   8   9.630  11
DRB_DLF_RDF   8   9.630  11
DRB_DFR_LFD   8   9.630  11
DLF_FRD_DRB   8   9.630  11
RBD_DLF_DFR   8   9.630  11
FDL_DFR_DRB   8   9.630  11
RDF_BDR_LFD   8   9.722  11
FRD_BDR_LFD   8   9.722  11
RDF_DRB_LFD   8   9.735  12
FRD_BDR_DLF   8   9.735  12
DRB_FDL_RDF   8   9.815  11
FDL_DFR_BDR   8   9.815  11
DRB_FRD_LFD   8   9.815  11
RBD_DFR_LFD   8   9.815  11
DLF_BDR_RDF   8   9.815  11
DLF_FRD_RBD   8   9.815  11
FDL_BDR_DFR   8   9.815  11
RBD_LFD_DFR   8   9.815  11
[COLOR="#FF0000"]DLF_DRB_DFR   8   9.827  12 EG-1[/COLOR]
DRB_DLF_DFR   8   9.827  12
DLF_DFR_DRB   8   9.827  12
DRB_DFR_DLF   8   9.827  12
DFR_FDL_RBD   8   9.840  11
DFR_LFD_BDR   8   9.840  11
[COLOR="#FF0000"]DFR_DLF_DRB   0   9.907  13 [B]CLL[/B][/COLOR]
DFR_LFD_RBD   8   9.926  11
DFR_FDL_BDR   8   9.926  11
[COLOR="#FF0000"]DFR_DRB_DLF   6  10.340  13 [B]EG-2[/B][/COLOR]
 
Last edited:
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Robert271291
#42
Well I figured that these types of layers would be the next easiest types of rotten FL to make, if it seems to the cuber that planning out a complete first layer doesn't seem like a good option (for a given scramble).

Another thing I just noticed is that. Let's say you've planned out 3/4 of the first layer but then you realise that the last corner will point upwards. It will take something like an additional 5-6 quarter turns to place that corner. However, if you choose to create a FL with a twisted corner, then it will cost just 3-4 quarter turns I believe. Hopefully it will also make TCLL prediction easier, as opposed to CLL prediction.
 
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StefanPochmann
#43
Makes sense.

My file btw also says CLL averages 6420/648 moves (6420 moves in all of the 4!*3^3=648 LL cases) and that the best cases average 5772/648 moves, and since 6420-5772=648, that's indeed exactly one move difference, so I remembered that correctly :). Also, apparently my stats include AUF, as I found 648 ACube inputs for each of the 162 cases.
 
Last edited:
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TheNextFeliks
#45
Okso:
Prob of each "oll"
Solved: 1/28
Pinwheel: 1/28
Two Face (I think that was the name) 2/28=1/14
All others: 4/28=1/7

Just felt like doing that. I think I'm going to learn one alg of each case when these cases come up in solves.
 
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Speed_Cubers_YT
#50
How did you develop the algorithms? Did you use a computer to somehow generate them for you, or did you make them yourself? If you make them yourself how did you do it?
 
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