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Wiki Discussion Thread

Lucas Garron

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Note that I colored the corners which are to be swapped dark gray, and the dedges which need to be cycled medium gray.

That sounds like it's geared to a particular kind of recognition method, and a particular way about thinking about the case. Can you color them symmetrically to avoid that?

Apart from that, either 2 or 4 makes the most sense. Can you to the average, where you color the dividing line gray?
 

Christopher Mowla

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Thanks for the feedback, everyone.

That sounds like it's geared to a particular kind of recognition method, and a particular way about thinking about the case. Can you color them symmetrically to avoid that?
Sure, I can color the corners and dedges the same shade of gray. I didn't think about that.

Apart from that, either 2 or 4 makes the most sense. Can you to the average, where you color the dividing line gray?
Is something like this what you're looking for? (Instead of coloring the dividing line in on the non-white color portion of each dedge gray, in general, I colored them a lighter shade of that same color.)

If it is, but you want me to use a lighter (or darker) shade of the given colors, let me know.
PZklZ9n.png
 
Last edited:

clement

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Hello everyone.

I don't have a strong opinion on which image type to use. I would use option 4 for a standard 444 image.
Regarding parity permutation cases, I ran my recent program on them and came up with the following algorithms.
A few notes first:
- it searches in Single Slice Turn Metric, which is not very speedcubing friendly. I cannot change it easily because it is inherent of the solving method used (for exemple sometimes I'm allowed to do inner slice quarter moves (2F) but not the corresponding outer slice quarter move (F))
- I only print algorithms that beats or equals known algorithms in SSTM
- I didn't reduce to canonical algorithms, sorry
- I used http://hem.bredband.net/_zlv_/rubiks/4x4/444pllpar.html for the PLL+p notations

PLL W

15 L2 U F2 L2 F2 U F2 2L2 U2 F2 L2 2L2 F2 U2 2L2
15 L2 U F2 L2 F2 U F2 2L2 U2 F2 R2 2R2 B2 D2 2L2
15 L2 U F2 L2 F2 U F2 2L2 D2 B2 L2 2L2 F2 U2 2L2
15 L2 U F2 L2 F2 U F2 2L2 D2 B2 R2 2R2 B2 D2 2L2
15 L2 U F2 L2 F2 U F2 2R2 U2 F2 L2 2R2 F2 U2 2R2
15 L2 U F2 L2 F2 U F2 2R2 U2 F2 2L2 R2 B2 D2 2R2
15 L2 U F2 L2 F2 U F2 2R2 D2 B2 L2 2R2 F2 U2 2R2
15 L2 U F2 L2 F2 U F2 2R2 D2 B2 2L2 R2 B2 D2 2R2

PLL O

13 2L2 U2 2F2 U' 2L2 2F2 U 2U2 2F2 2U2 2L2 U2 2L2
13 2L2 U2 2F2 U' 2L2 2F2 U 2U2 2F2 2L2 U2 2L2 2U2
13 2L2 U2 2F2 U' 2L2 2F2 U 2U2 2F2 2L2 D2 2R2 2D2
13 2L2 U2 2F2 U' 2L2 2F2 U 2D2 2F2 2D2 2L2 U2 2L2
13 2L2 U2 2F2 U' 2L2 2F2 U 2D2 2F2 2L2 U2 2L2 2D2
13 2L2 U2 2F2 U' 2L2 2F2 U 2D2 2F2 2L2 D2 2R2 2U2

PLL P

17 U R U' L U2 R' U L 2L2 F2 L2 2L2 F2 2F2 2L2 F2 2F2
17 U R U' L U2 R' U L 2L2 F2 L2 2L2 F2 2F2 2L2 B2 2B2
17 U R U' L U2 R' U L 2L2 F2 L2 2L2 F2 2B2 2L2 F2 2B2
17 U R U' L U2 R' U L 2L2 F2 L2 2L2 F2 2B2 2L2 2F2 B2
17 U R U' L U2 R' U L 2L2 F2 L2 2L2 2F2 B2 2R2 F2 2B2
17 U R U' L U2 R' U L 2L2 F2 L2 2L2 2F2 B2 2R2 2F2 B2
17 U R U' L U2 R' U L 2L2 F2 L2 2L2 B2 2B2 2R2 F2 2F2
17 U R U' L U2 R' U L 2L2 F2 L2 2L2 B2 2B2 2R2 B2 2B2
17 U R U' L U2 R' U L 2L2 F2 2L2 F2 2F2 2L2 F2 2F2 L2
17 U R U' L U2 R' U L 2L2 F2 2L2 F2 2F2 2L2 B2 2B2 R2
17 U R U' L U2 R' U L 2L2 F2 2L2 F2 2B2 2L2 F2 2B2 L2
17 U R U' L U2 R' U L 2L2 F2 2L2 F2 2B2 2L2 2F2 B2 R2
17 U R U' L U2 R' U L 2L2 F2 2L2 2F2 B2 2R2 F2 2B2 R2
17 U R U' L U2 R' U L 2L2 F2 2L2 2F2 B2 2R2 2F2 B2 L2
17 U R U' L U2 R' U L 2L2 F2 2L2 B2 2B2 2R2 F2 2F2 R2
17 U R U' L U2 R' U L 2L2 F2 2L2 B2 2B2 2R2 B2 2B2 L2
17 U R U' L U2 R' U L 2L2 F2 R2 2R2 F2 2F2 2R2 F2 2F2
17 U R U' L U2 R' U L 2L2 F2 R2 2R2 F2 2F2 2R2 B2 2B2
17 U R U' L U2 R' U L 2L2 F2 R2 2R2 F2 2B2 2R2 F2 2B2
17 U R U' L U2 R' U L 2L2 F2 R2 2R2 F2 2B2 2R2 2F2 B2
17 U R U' L U2 R' U L 2L2 F2 R2 2R2 2F2 B2 2L2 F2 2B2
17 U R U' L U2 R' U L 2L2 F2 R2 2R2 2F2 B2 2L2 2F2 B2
17 U R U' L U2 R' U L 2L2 F2 R2 2R2 B2 2B2 2L2 F2 2F2
17 U R U' L U2 R' U L 2L2 F2 R2 2R2 B2 2B2 2L2 B2 2B2
17 U R U' L U2 R' U L 2L2 F2 2R2 F2 2F2 2R2 F2 2F2 R2
17 U R U' L U2 R' U L 2L2 F2 2R2 F2 2F2 2R2 B2 2B2 L2
17 U R U' L U2 R' U L 2L2 F2 2R2 F2 2B2 2R2 F2 2B2 R2
17 U R U' L U2 R' U L 2L2 F2 2R2 F2 2B2 2R2 2F2 B2 L2
17 U R U' L U2 R' U L 2L2 F2 2R2 2F2 B2 2L2 F2 2B2 L2
17 U R U' L U2 R' U L 2L2 F2 2R2 2F2 B2 2L2 2F2 B2 R2
17 U R U' L U2 R' U L 2L2 F2 2R2 B2 2B2 2L2 F2 2F2 L2
17 U R U' L U2 R' U L 2L2 F2 2R2 B2 2B2 2L2 B2 2B2 R2
17 U R U' L U2 R' U L 2L2 2F2 L2 2L2 F2 2F2 L2 F2 2F2
17 U R U' L U2 R' U L 2L2 2F2 L2 2L2 F2 2F2 L2 B2 2B2
17 U R U' L U2 R' U L 2L2 2F2 L2 2L2 B2 2B2 R2 F2 2F2
17 U R U' L U2 R' U L 2L2 2F2 L2 2L2 B2 2B2 R2 B2 2B2
17 U R U' L U2 R' U L 2L2 2F2 L2 F2 2F2 L2 F2 2F2 2L2
17 U R U' L U2 R' U L 2L2 2F2 L2 F2 2F2 L2 B2 2B2 2R2
17 U R U' L U2 R' U L 2L2 2F2 L2 B2 2B2 R2 F2 2F2 2R2
17 U R U' L U2 R' U L 2L2 2F2 L2 B2 2B2 R2 B2 2B2 2L2
17 U R U' L U2 R' U L 2L2 2F2 R2 2R2 F2 2F2 R2 F2 2F2
17 U R U' L U2 R' U L 2L2 2F2 R2 2R2 F2 2F2 R2 B2 2B2
17 U R U' L U2 R' U L 2L2 2F2 R2 2R2 B2 2B2 L2 F2 2F2
17 U R U' L U2 R' U L 2L2 2F2 R2 2R2 B2 2B2 L2 B2 2B2
17 U R U' L U2 R' U L 2L2 2F2 R2 F2 2F2 R2 F2 2F2 2R2
17 U R U' L U2 R' U L 2L2 2F2 R2 F2 2F2 R2 B2 2B2 2L2
17 U R U' L U2 R' U L 2L2 2F2 R2 B2 2B2 L2 F2 2F2 2L2
17 U R U' L U2 R' U L 2L2 2F2 R2 B2 2B2 L2 B2 2B2 2R2
17 U R U' L U2 R' U L 2L2 2B2 L2 2L2 F2 2B2 L2 F2 2B2
17 U R U' L U2 R' U L 2L2 2B2 L2 2L2 F2 2B2 L2 2F2 B2
17 U R U' L U2 R' U L 2L2 2B2 L2 2L2 2F2 B2 R2 F2 2B2
17 U R U' L U2 R' U L 2L2 2B2 L2 2L2 2F2 B2 R2 2F2 B2
17 U R U' L U2 R' U L 2L2 2B2 L2 F2 2B2 L2 F2 2B2 2L2
17 U R U' L U2 R' U L 2L2 2B2 L2 F2 2B2 L2 2F2 B2 2R2
17 U R U' L U2 R' U L 2L2 2B2 L2 2F2 B2 R2 F2 2B2 2R2
17 U R U' L U2 R' U L 2L2 2B2 L2 2F2 B2 R2 2F2 B2 2L2
17 U R U' L U2 R' U L 2L2 2B2 R2 2R2 F2 2B2 R2 F2 2B2
17 U R U' L U2 R' U L 2L2 2B2 R2 2R2 F2 2B2 R2 2F2 B2
17 U R U' L U2 R' U L 2L2 2B2 R2 2R2 2F2 B2 L2 F2 2B2
17 U R U' L U2 R' U L 2L2 2B2 R2 2R2 2F2 B2 L2 2F2 B2
17 U R U' L U2 R' U L 2L2 2B2 R2 F2 2B2 R2 F2 2B2 2R2
17 U R U' L U2 R' U L 2L2 2B2 R2 F2 2B2 R2 2F2 B2 2L2
17 U R U' L U2 R' U L 2L2 2B2 R2 2F2 B2 L2 F2 2B2 2L2
17 U R U' L U2 R' U L 2L2 2B2 R2 2F2 B2 L2 2F2 B2 2R2
17 U R U' L U2 R' U L 2L2 U2 F2 2L2 F2 U2 2L2 F2 L2
17 U R U' L U2 R' U L 2L2 U2 F2 2R2 F2 U2 2R2 F2 R2
17 U R U' L U2 R' U L 2L2 U2 B2 2L2 B2 U2 2R2 F2 R2
17 U R U' L U2 R' U L 2L2 U2 B2 2R2 B2 U2 2L2 F2 L2
17 U R U' L U2 R' U L 2L2 D2 F2 2L2 F2 D2 2L2 F2 L2
17 U R U' L U2 R' U L 2L2 D2 F2 2R2 F2 D2 2R2 F2 R2
17 U R U' L U2 R' U L 2L2 D2 B2 2L2 B2 D2 2R2 F2 R2
17 U R U' L U2 R' U L 2L2 D2 B2 2R2 B2 D2 2L2 F2 L2
17 U R U' L U2 R' U L 2R2 F2 L2 2R2 F2 2F2 2R2 F2 2F2
17 U R U' L U2 R' U L 2R2 F2 L2 2R2 F2 2F2 2R2 B2 2B2
17 U R U' L U2 R' U L 2R2 F2 L2 2R2 F2 2B2 2R2 F2 2B2
17 U R U' L U2 R' U L 2R2 F2 L2 2R2 F2 2B2 2R2 2F2 B2
17 U R U' L U2 R' U L 2R2 F2 L2 2R2 2F2 B2 2L2 F2 2B2
17 U R U' L U2 R' U L 2R2 F2 L2 2R2 2F2 B2 2L2 2F2 B2
17 U R U' L U2 R' U L 2R2 F2 L2 2R2 B2 2B2 2L2 F2 2F2
17 U R U' L U2 R' U L 2R2 F2 L2 2R2 B2 2B2 2L2 B2 2B2
17 U R U' L U2 R' U L 2R2 F2 2L2 R2 F2 2F2 2L2 F2 2F2
17 U R U' L U2 R' U L 2R2 F2 2L2 R2 F2 2F2 2L2 B2 2B2
17 U R U' L U2 R' U L 2R2 F2 2L2 R2 F2 2B2 2L2 F2 2B2
17 U R U' L U2 R' U L 2R2 F2 2L2 R2 F2 2B2 2L2 2F2 B2
17 U R U' L U2 R' U L 2R2 F2 2L2 R2 2F2 B2 2R2 F2 2B2
17 U R U' L U2 R' U L 2R2 F2 2L2 R2 2F2 B2 2R2 2F2 B2
17 U R U' L U2 R' U L 2R2 F2 2L2 R2 B2 2B2 2R2 F2 2F2
17 U R U' L U2 R' U L 2R2 F2 2L2 R2 B2 2B2 2R2 B2 2B2
17 U R U' L U2 R' U L 2R2 F2 2L2 F2 2F2 2L2 F2 2F2 R2
17 U R U' L U2 R' U L 2R2 F2 2L2 F2 2F2 2L2 B2 2B2 L2
17 U R U' L U2 R' U L 2R2 F2 2L2 F2 2B2 2L2 F2 2B2 R2
17 U R U' L U2 R' U L 2R2 F2 2L2 F2 2B2 2L2 2F2 B2 L2
17 U R U' L U2 R' U L 2R2 F2 2L2 2F2 B2 2R2 F2 2B2 L2
17 U R U' L U2 R' U L 2R2 F2 2L2 2F2 B2 2R2 2F2 B2 R2
17 U R U' L U2 R' U L 2R2 F2 2L2 B2 2B2 2R2 F2 2F2 L2
17 U R U' L U2 R' U L 2R2 F2 2L2 B2 2B2 2R2 B2 2B2 R2
17 U R U' L U2 R' U L 2R2 F2 2R2 F2 2F2 2R2 F2 2F2 L2
17 U R U' L U2 R' U L 2R2 F2 2R2 F2 2F2 2R2 B2 2B2 R2
17 U R U' L U2 R' U L 2R2 F2 2R2 F2 2B2 2R2 F2 2B2 L2
17 U R U' L U2 R' U L 2R2 F2 2R2 F2 2B2 2R2 2F2 B2 R2
17 U R U' L U2 R' U L 2R2 F2 2R2 2F2 B2 2L2 F2 2B2 R2
17 U R U' L U2 R' U L 2R2 F2 2R2 2F2 B2 2L2 2F2 B2 L2
17 U R U' L U2 R' U L 2R2 F2 2R2 B2 2B2 2L2 F2 2F2 R2
17 U R U' L U2 R' U L 2R2 F2 2R2 B2 2B2 2L2 B2 2B2 L2
17 U R U' L U2 R' U L 2R2 2F2 L2 2R2 F2 2F2 L2 F2 2F2
17 U R U' L U2 R' U L 2R2 2F2 L2 2R2 F2 2F2 L2 B2 2B2
17 U R U' L U2 R' U L 2R2 2F2 L2 2R2 B2 2B2 R2 F2 2F2
17 U R U' L U2 R' U L 2R2 2F2 L2 2R2 B2 2B2 R2 B2 2B2
17 U R U' L U2 R' U L 2R2 2F2 L2 F2 2F2 L2 F2 2F2 2R2
17 U R U' L U2 R' U L 2R2 2F2 L2 F2 2F2 L2 B2 2B2 2L2
17 U R U' L U2 R' U L 2R2 2F2 L2 B2 2B2 R2 F2 2F2 2L2
17 U R U' L U2 R' U L 2R2 2F2 L2 B2 2B2 R2 B2 2B2 2R2
17 U R U' L U2 R' U L 2R2 2F2 2L2 R2 F2 2F2 R2 F2 2F2
17 U R U' L U2 R' U L 2R2 2F2 2L2 R2 F2 2F2 R2 B2 2B2
17 U R U' L U2 R' U L 2R2 2F2 2L2 R2 B2 2B2 L2 F2 2F2
17 U R U' L U2 R' U L 2R2 2F2 2L2 R2 B2 2B2 L2 B2 2B2
17 U R U' L U2 R' U L 2R2 2F2 R2 F2 2F2 R2 F2 2F2 2L2
17 U R U' L U2 R' U L 2R2 2F2 R2 F2 2F2 R2 B2 2B2 2R2
17 U R U' L U2 R' U L 2R2 2F2 R2 B2 2B2 L2 F2 2F2 2R2
17 U R U' L U2 R' U L 2R2 2F2 R2 B2 2B2 L2 B2 2B2 2L2
17 U R U' L U2 R' U L 2R2 2B2 L2 2R2 F2 2B2 L2 F2 2B2
17 U R U' L U2 R' U L 2R2 2B2 L2 2R2 F2 2B2 L2 2F2 B2
17 U R U' L U2 R' U L 2R2 2B2 L2 2R2 2F2 B2 R2 F2 2B2
17 U R U' L U2 R' U L 2R2 2B2 L2 2R2 2F2 B2 R2 2F2 B2
17 U R U' L U2 R' U L 2R2 2B2 L2 F2 2B2 L2 F2 2B2 2R2
17 U R U' L U2 R' U L 2R2 2B2 L2 F2 2B2 L2 2F2 B2 2L2
17 U R U' L U2 R' U L 2R2 2B2 L2 2F2 B2 R2 F2 2B2 2L2
17 U R U' L U2 R' U L 2R2 2B2 L2 2F2 B2 R2 2F2 B2 2R2
17 U R U' L U2 R' U L 2R2 2B2 2L2 R2 F2 2B2 R2 F2 2B2
17 U R U' L U2 R' U L 2R2 2B2 2L2 R2 F2 2B2 R2 2F2 B2
17 U R U' L U2 R' U L 2R2 2B2 2L2 R2 2F2 B2 L2 F2 2B2
17 U R U' L U2 R' U L 2R2 2B2 2L2 R2 2F2 B2 L2 2F2 B2
17 U R U' L U2 R' U L 2R2 2B2 R2 F2 2B2 R2 F2 2B2 2L2
17 U R U' L U2 R' U L 2R2 2B2 R2 F2 2B2 R2 2F2 B2 2R2
17 U R U' L U2 R' U L 2R2 2B2 R2 2F2 B2 L2 F2 2B2 2R2
17 U R U' L U2 R' U L 2R2 2B2 R2 2F2 B2 L2 2F2 B2 2L2
17 U R U' L U2 R' U L 2R2 U2 F2 2L2 F2 U2 2L2 F2 R2
17 U R U' L U2 R' U L 2R2 U2 F2 2R2 F2 U2 2R2 F2 L2
17 U R U' L U2 R' U L 2R2 U2 B2 2L2 B2 U2 2R2 F2 L2
17 U R U' L U2 R' U L 2R2 U2 B2 2R2 B2 U2 2L2 F2 R2
17 U R U' L U2 R' U L 2R2 D2 F2 2L2 F2 D2 2L2 F2 R2
17 U R U' L U2 R' U L 2R2 D2 F2 2R2 F2 D2 2R2 F2 L2
17 U R U' L U2 R' U L 2R2 D2 B2 2L2 B2 D2 2R2 F2 L2
17 U R U' L U2 R' U L 2R2 D2 B2 2R2 B2 D2 2L2 F2 R2
17 U R U' L U2 R' U L F2 L2 2L2 F2 2L2 F2 2F2 2L2 2F2
17 U R U' L U2 R' U L F2 L2 2L2 F2 2L2 F2 2B2 2L2 2B2
17 U R U' L U2 R' U L F2 L2 2L2 F2 2L2 2F2 B2 2R2 2B2
17 U R U' L U2 R' U L F2 L2 2L2 F2 2L2 B2 2B2 2R2 2F2
17 U R U' L U2 R' U L F2 L2 2L2 U2 F2 2L2 F2 U2 2L2
17 U R U' L U2 R' U L F2 L2 2L2 U2 B2 2R2 B2 U2 2L2
17 U R U' L U2 R' U L F2 L2 2L2 D2 F2 2L2 F2 D2 2L2
17 U R U' L U2 R' U L F2 L2 2L2 D2 B2 2R2 B2 D2 2L2
17 U R U' L U2 R' U L F2 L2 2R2 F2 2R2 F2 2F2 2R2 2F2
17 U R U' L U2 R' U L F2 L2 2R2 F2 2R2 F2 2B2 2R2 2B2
17 U R U' L U2 R' U L F2 L2 2R2 F2 2R2 2F2 B2 2L2 2B2
17 U R U' L U2 R' U L F2 L2 2R2 F2 2R2 B2 2B2 2L2 2F2
17 U R U' L U2 R' U L F2 L2 2R2 U2 F2 2R2 F2 U2 2R2
17 U R U' L U2 R' U L F2 L2 2R2 U2 B2 2L2 B2 U2 2R2
17 U R U' L U2 R' U L F2 L2 2R2 D2 F2 2R2 F2 D2 2R2
17 U R U' L U2 R' U L F2 L2 2R2 D2 B2 2L2 B2 D2 2R2
17 U R U' L U2 R' U L F2 L2 2F2 2L2 F2 2L2 F2 2L2 2F2
17 U R U' L U2 R' U L F2 L2 2F2 2L2 F2 2L2 B2 2R2 2B2
17 U R U' L U2 R' U L F2 L2 2F2 2L2 F2 2F2 2L2 F2 2L2
17 U R U' L U2 R' U L F2 L2 2F2 2L2 B2 2R2 F2 2R2 2B2
17 U R U' L U2 R' U L F2 L2 2F2 2L2 B2 2R2 B2 2L2 2F2
17 U R U' L U2 R' U L F2 L2 2F2 2L2 B2 2B2 2R2 F2 2R2
17 U R U' L U2 R' U L F2 L2 2F2 2R2 F2 2R2 F2 2R2 2F2
17 U R U' L U2 R' U L F2 L2 2F2 2R2 F2 2R2 B2 2L2 2B2
17 U R U' L U2 R' U L F2 L2 2F2 2R2 F2 2F2 2R2 F2 2R2
17 U R U' L U2 R' U L F2 L2 2F2 2R2 B2 2L2 F2 2L2 2B2
17 U R U' L U2 R' U L F2 L2 2F2 2R2 B2 2L2 B2 2R2 2F2
17 U R U' L U2 R' U L F2 L2 2F2 2R2 B2 2B2 2L2 F2 2L2
17 U R U' L U2 R' U L F2 L2 2B2 2L2 F2 2L2 F2 2L2 2B2
17 U R U' L U2 R' U L F2 L2 2B2 2L2 F2 2L2 B2 2R2 2F2
17 U R U' L U2 R' U L F2 L2 2B2 2L2 F2 2B2 2L2 F2 2L2
17 U R U' L U2 R' U L F2 L2 2B2 2L2 2F2 B2 2R2 F2 2R2
17 U R U' L U2 R' U L F2 L2 2B2 2L2 B2 2R2 F2 2R2 2F2
17 U R U' L U2 R' U L F2 L2 2B2 2L2 B2 2R2 B2 2L2 2B2
17 U R U' L U2 R' U L F2 L2 2B2 2R2 F2 2R2 F2 2R2 2B2
17 U R U' L U2 R' U L F2 L2 2B2 2R2 F2 2R2 B2 2L2 2F2
17 U R U' L U2 R' U L F2 L2 2B2 2R2 F2 2B2 2R2 F2 2R2
17 U R U' L U2 R' U L F2 L2 2B2 2R2 2F2 B2 2L2 F2 2L2
17 U R U' L U2 R' U L F2 L2 2B2 2R2 B2 2L2 F2 2L2 2F2
17 U R U' L U2 R' U L F2 L2 2B2 2R2 B2 2L2 B2 2R2 2B2
17 U R U' L U2 R' U L F2 2L2 R2 B2 2R2 F2 2F2 2L2 2B2
17 U R U' L U2 R' U L F2 2L2 R2 B2 2R2 F2 2B2 2L2 2F2
17 U R U' L U2 R' U L F2 2L2 R2 B2 2R2 2F2 B2 2R2 2F2
17 U R U' L U2 R' U L F2 2L2 R2 B2 2R2 B2 2B2 2R2 2B2
17 U R U' L U2 R' U L F2 2L2 R2 U2 F2 2L2 F2 U2 2R2
17 U R U' L U2 R' U L F2 2L2 R2 U2 B2 2R2 B2 U2 2R2
17 U R U' L U2 R' U L F2 2L2 R2 D2 F2 2L2 F2 D2 2R2
17 U R U' L U2 R' U L F2 2L2 R2 D2 B2 2R2 B2 D2 2R2
17 U R U' L U2 R' U L F2 2L2 F2 2L2 F2 L2 2F2 2L2 2F2
17 U R U' L U2 R' U L F2 2L2 F2 2L2 F2 L2 2B2 2L2 2B2
17 U R U' L U2 R' U L F2 2L2 F2 2L2 F2 2F2 2L2 2F2 L2
17 U R U' L U2 R' U L F2 2L2 F2 2L2 F2 2B2 2L2 2B2 L2
17 U R U' L U2 R' U L F2 2L2 F2 2L2 2F2 B2 2R2 2B2 R2
17 U R U' L U2 R' U L F2 2L2 F2 2L2 B2 2B2 2R2 2F2 R2
17 U R U' L U2 R' U L F2 2L2 B2 2R2 F2 2F2 2L2 2B2 L2
17 U R U' L U2 R' U L F2 2L2 B2 2R2 F2 2B2 2L2 2F2 L2
17 U R U' L U2 R' U L F2 2L2 B2 2R2 2F2 B2 2R2 2F2 R2
17 U R U' L U2 R' U L F2 2L2 B2 2R2 B2 R2 2F2 2R2 2F2
17 U R U' L U2 R' U L F2 2L2 B2 2R2 B2 R2 2B2 2R2 2B2
17 U R U' L U2 R' U L F2 2L2 B2 2R2 B2 2B2 2R2 2B2 R2
17 U R U' L U2 R' U L F2 2L2 U2 F2 2L2 F2 U2 L2 2L2
17 U R U' L U2 R' U L F2 2L2 U2 F2 2L2 F2 U2 R2 2R2
17 U R U' L U2 R' U L F2 2L2 U2 B2 2R2 B2 U2 L2 2L2
17 U R U' L U2 R' U L F2 2L2 U2 B2 2R2 B2 U2 R2 2R2
17 U R U' L U2 R' U L F2 2L2 D2 F2 2L2 F2 D2 L2 2L2
17 U R U' L U2 R' U L F2 2L2 D2 F2 2L2 F2 D2 R2 2R2
17 U R U' L U2 R' U L F2 2L2 D2 B2 2R2 B2 D2 L2 2L2
17 U R U' L U2 R' U L F2 2L2 D2 B2 2R2 B2 D2 R2 2R2
17 U R U' L U2 R' U L F2 R2 2R2 B2 2L2 F2 2F2 2R2 2B2
17 U R U' L U2 R' U L F2 R2 2R2 B2 2L2 F2 2B2 2R2 2F2
17 U R U' L U2 R' U L F2 R2 2R2 B2 2L2 2F2 B2 2L2 2F2
17 U R U' L U2 R' U L F2 R2 2R2 B2 2L2 B2 2B2 2L2 2B2
17 U R U' L U2 R' U L F2 R2 2R2 U2 F2 2R2 F2 U2 2L2
17 U R U' L U2 R' U L F2 R2 2R2 U2 B2 2L2 B2 U2 2L2
17 U R U' L U2 R' U L F2 R2 2R2 D2 F2 2R2 F2 D2 2L2
17 U R U' L U2 R' U L F2 R2 2R2 D2 B2 2L2 B2 D2 2L2
17 U R U' L U2 R' U L F2 R2 2F2 2L2 F2 2F2 2L2 F2 2R2
17 U R U' L U2 R' U L F2 R2 2F2 2L2 B2 2B2 2R2 F2 2L2
17 U R U' L U2 R' U L F2 R2 2F2 2R2 F2 2F2 2R2 F2 2L2
17 U R U' L U2 R' U L F2 R2 2F2 2R2 B2 2B2 2L2 F2 2R2
17 U R U' L U2 R' U L F2 R2 2B2 2L2 F2 2B2 2L2 F2 2R2
17 U R U' L U2 R' U L F2 R2 2B2 2L2 2F2 B2 2R2 F2 2L2
17 U R U' L U2 R' U L F2 R2 2B2 2R2 F2 2B2 2R2 F2 2L2
17 U R U' L U2 R' U L F2 R2 2B2 2R2 2F2 B2 2L2 F2 2R2
17 U R U' L U2 R' U L F2 2R2 F2 2R2 F2 L2 2F2 2R2 2F2
17 U R U' L U2 R' U L F2 2R2 F2 2R2 F2 L2 2B2 2R2 2B2
17 U R U' L U2 R' U L F2 2R2 F2 2R2 F2 2F2 2R2 2F2 L2
17 U R U' L U2 R' U L F2 2R2 F2 2R2 F2 2B2 2R2 2B2 L2
17 U R U' L U2 R' U L F2 2R2 F2 2R2 2F2 B2 2L2 2B2 R2
17 U R U' L U2 R' U L F2 2R2 F2 2R2 B2 2B2 2L2 2F2 R2
17 U R U' L U2 R' U L F2 2R2 B2 2L2 F2 2F2 2R2 2B2 L2
17 U R U' L U2 R' U L F2 2R2 B2 2L2 F2 2B2 2R2 2F2 L2
17 U R U' L U2 R' U L F2 2R2 B2 2L2 2F2 B2 2L2 2F2 R2
17 U R U' L U2 R' U L F2 2R2 B2 2L2 B2 R2 2F2 2L2 2F2
17 U R U' L U2 R' U L F2 2R2 B2 2L2 B2 R2 2B2 2L2 2B2
17 U R U' L U2 R' U L F2 2R2 B2 2L2 B2 2B2 2L2 2B2 R2
17 U R U' L U2 R' U L F2 2R2 U2 F2 2R2 F2 U2 L2 2R2
17 U R U' L U2 R' U L F2 2R2 U2 F2 2R2 F2 U2 2L2 R2
17 U R U' L U2 R' U L F2 2R2 U2 B2 2L2 B2 U2 L2 2R2
17 U R U' L U2 R' U L F2 2R2 U2 B2 2L2 B2 U2 2L2 R2
17 U R U' L U2 R' U L F2 2R2 D2 F2 2R2 F2 D2 L2 2R2
17 U R U' L U2 R' U L F2 2R2 D2 F2 2R2 F2 D2 2L2 R2
17 U R U' L U2 R' U L F2 2R2 D2 B2 2L2 B2 D2 L2 2R2
17 U R U' L U2 R' U L F2 2R2 D2 B2 2L2 B2 D2 2L2 R2
17 U R U' L U2 R' U L F2 2F2 2L2 F2 2L2 F2 2L2 2F2 L2
17 U R U' L U2 R' U L F2 2F2 2L2 F2 2L2 B2 2R2 2B2 R2
17 U R U' L U2 R' U L F2 2F2 2L2 F2 2F2 2L2 F2 L2 2L2
17 U R U' L U2 R' U L F2 2F2 2L2 F2 2F2 2L2 F2 R2 2R2
17 U R U' L U2 R' U L F2 2F2 2L2 2F2 L2 F2 2L2 F2 2L2
17 U R U' L U2 R' U L F2 2F2 2L2 2F2 R2 F2 2L2 F2 2R2
17 U R U' L U2 R' U L F2 2F2 2L2 B2 2R2 F2 2R2 2B2 R2
17 U R U' L U2 R' U L F2 2F2 2L2 B2 2R2 B2 2L2 2F2 L2
17 U R U' L U2 R' U L F2 2F2 2L2 B2 2B2 2R2 F2 L2 2L2
17 U R U' L U2 R' U L F2 2F2 2L2 B2 2B2 2R2 F2 R2 2R2
17 U R U' L U2 R' U L F2 2F2 2R2 F2 2R2 F2 2R2 2F2 L2
17 U R U' L U2 R' U L F2 2F2 2R2 F2 2R2 B2 2L2 2B2 R2
17 U R U' L U2 R' U L F2 2F2 2R2 F2 2F2 2R2 F2 L2 2R2
17 U R U' L U2 R' U L F2 2F2 2R2 F2 2F2 2R2 F2 2L2 R2
17 U R U' L U2 R' U L F2 2F2 2R2 2F2 L2 F2 2R2 F2 2R2
17 U R U' L U2 R' U L F2 2F2 2R2 2F2 R2 F2 2R2 F2 2L2
17 U R U' L U2 R' U L F2 2F2 2R2 B2 2L2 F2 2L2 2B2 R2
17 U R U' L U2 R' U L F2 2F2 2R2 B2 2L2 B2 2R2 2F2 L2
17 U R U' L U2 R' U L F2 2F2 2R2 B2 2B2 2L2 F2 L2 2R2
17 U R U' L U2 R' U L F2 2F2 2R2 B2 2B2 2L2 F2 2L2 R2
17 U R U' L U2 R' U L F2 2B2 2L2 F2 2L2 F2 2L2 2B2 L2
17 U R U' L U2 R' U L F2 2B2 2L2 F2 2L2 B2 2R2 2F2 R2
17 U R U' L U2 R' U L F2 2B2 2L2 F2 2B2 2L2 F2 L2 2L2
17 U R U' L U2 R' U L F2 2B2 2L2 F2 2B2 2L2 F2 R2 2R2
17 U R U' L U2 R' U L F2 2B2 2L2 2F2 B2 2R2 F2 L2 2L2
17 U R U' L U2 R' U L F2 2B2 2L2 2F2 B2 2R2 F2 R2 2R2
17 U R U' L U2 R' U L F2 2B2 2L2 B2 2R2 F2 2R2 2F2 R2
17 U R U' L U2 R' U L F2 2B2 2L2 B2 2R2 B2 2L2 2B2 L2
17 U R U' L U2 R' U L F2 2B2 2L2 2B2 L2 F2 2L2 F2 2L2
17 U R U' L U2 R' U L F2 2B2 2L2 2B2 R2 F2 2L2 F2 2R2
17 U R U' L U2 R' U L F2 2B2 2R2 F2 2R2 F2 2R2 2B2 L2
17 U R U' L U2 R' U L F2 2B2 2R2 F2 2R2 B2 2L2 2F2 R2
17 U R U' L U2 R' U L F2 2B2 2R2 F2 2B2 2R2 F2 L2 2R2
17 U R U' L U2 R' U L F2 2B2 2R2 F2 2B2 2R2 F2 2L2 R2
17 U R U' L U2 R' U L F2 2B2 2R2 2F2 B2 2L2 F2 L2 2R2
17 U R U' L U2 R' U L F2 2B2 2R2 2F2 B2 2L2 F2 2L2 R2
17 U R U' L U2 R' U L F2 2B2 2R2 B2 2L2 F2 2L2 2F2 R2
17 U R U' L U2 R' U L F2 2B2 2R2 B2 2L2 B2 2R2 2B2 L2
17 U R U' L U2 R' U L F2 2B2 2R2 2B2 L2 F2 2R2 F2 2R2
17 U R U' L U2 R' U L F2 2B2 2R2 2B2 R2 F2 2R2 F2 2L2
17 U R U' L U2 R' U L 2F2 L2 F2 2F2 L2 2L2 2F2 2L2 F2
17 U R U' L U2 R' U L 2F2 L2 F2 2F2 L2 2R2 2F2 2R2 F2
17 U R U' L U2 R' U L 2F2 L2 F2 2F2 L2 F2 2L2 2F2 2L2
17 U R U' L U2 R' U L 2F2 L2 F2 2F2 L2 F2 2R2 2F2 2R2
17 U R U' L U2 R' U L 2F2 L2 F2 2F2 2L2 R2 2B2 2R2 B2
17 U R U' L U2 R' U L 2F2 L2 F2 2F2 R2 2R2 2B2 2L2 B2
17 U R U' L U2 R' U L 2F2 L2 2F2 2L2 F2 L2 F2 2F2 2L2
17 U R U' L U2 R' U L 2F2 L2 2F2 2L2 F2 L2 B2 2B2 2R2
17 U R U' L U2 R' U L 2F2 L2 2F2 2R2 F2 L2 F2 2F2 2R2
17 U R U' L U2 R' U L 2F2 L2 2F2 2R2 F2 L2 B2 2B2 2L2
17 U R U' L U2 R' U L 2F2 L2 B2 2B2 L2 2L2 2B2 2R2 B2
17 U R U' L U2 R' U L 2F2 L2 B2 2B2 L2 2R2 2B2 2L2 B2
17 U R U' L U2 R' U L 2F2 L2 B2 2B2 2L2 R2 2F2 2L2 F2
17 U R U' L U2 R' U L 2F2 L2 B2 2B2 R2 2R2 2F2 2R2 F2
17 U R U' L U2 R' U L 2F2 L2 B2 2B2 R2 F2 2L2 2F2 2L2
17 U R U' L U2 R' U L 2F2 L2 B2 2B2 R2 F2 2R2 2F2 2R2
17 U R U' L U2 R' U L 2F2 2L2 F2 2L2 F2 2L2 F2 2F2 L2
17 U R U' L U2 R' U L 2F2 2L2 F2 2L2 F2 2L2 B2 2B2 R2
17 U R U' L U2 R' U L 2F2 2L2 F2 2L2 B2 2R2 F2 2B2 R2
17 U R U' L U2 R' U L 2F2 2L2 F2 2L2 B2 2R2 2F2 B2 L2
17 U R U' L U2 R' U L 2F2 2L2 F2 2F2 L2 2L2 F2 2L2 F2
17 U R U' L U2 R' U L 2F2 2L2 F2 2F2 2L2 F2 2L2 F2 L2
17 U R U' L U2 R' U L 2F2 2L2 F2 2F2 R2 2R2 B2 2L2 B2
17 U R U' L U2 R' U L 2F2 2L2 F2 2F2 2R2 B2 2L2 B2 R2
17 U R U' L U2 R' U L 2F2 2L2 F2 2B2 2L2 F2 2L2 B2 R2
17 U R U' L U2 R' U L 2F2 2L2 F2 2B2 2R2 B2 2L2 F2 L2
17 U R U' L U2 R' U L 2F2 2L2 2F2 B2 2L2 B2 2R2 F2 R2
17 U R U' L U2 R' U L 2F2 2L2 2F2 B2 2R2 F2 2R2 B2 L2
17 U R U' L U2 R' U L 2F2 2L2 B2 2R2 F2 2R2 F2 2B2 R2
17 U R U' L U2 R' U L 2F2 2L2 B2 2R2 F2 2R2 2F2 B2 L2
17 U R U' L U2 R' U L 2F2 2L2 B2 2R2 B2 2L2 F2 2F2 L2
17 U R U' L U2 R' U L 2F2 2L2 B2 2R2 B2 2L2 B2 2B2 R2
17 U R U' L U2 R' U L 2F2 2L2 B2 2B2 L2 2L2 B2 2R2 B2
17 U R U' L U2 R' U L 2F2 2L2 B2 2B2 2L2 B2 2R2 B2 L2
17 U R U' L U2 R' U L 2F2 2L2 B2 2B2 R2 2R2 F2 2R2 F2
17 U R U' L U2 R' U L 2F2 2L2 B2 2B2 2R2 F2 2R2 F2 R2
17 U R U' L U2 R' U L 2F2 R2 F2 2F2 R2 F2 2L2 2F2 2R2
17 U R U' L U2 R' U L 2F2 R2 F2 2F2 R2 F2 2R2 2F2 2L2
17 U R U' L U2 R' U L 2F2 R2 2F2 2L2 F2 R2 F2 2F2 2R2
17 U R U' L U2 R' U L 2F2 R2 2F2 2L2 F2 R2 B2 2B2 2L2
17 U R U' L U2 R' U L 2F2 R2 2F2 2R2 F2 R2 F2 2F2 2L2
17 U R U' L U2 R' U L 2F2 R2 2F2 2R2 F2 R2 B2 2B2 2R2
17 U R U' L U2 R' U L 2F2 R2 B2 2B2 L2 F2 2L2 2F2 2R2
17 U R U' L U2 R' U L 2F2 R2 B2 2B2 L2 F2 2R2 2F2 2L2
17 U R U' L U2 R' U L 2F2 2R2 F2 2R2 F2 2R2 F2 2F2 L2
17 U R U' L U2 R' U L 2F2 2R2 F2 2R2 F2 2R2 B2 2B2 R2
17 U R U' L U2 R' U L 2F2 2R2 F2 2R2 B2 2L2 F2 2B2 R2
17 U R U' L U2 R' U L 2F2 2R2 F2 2R2 B2 2L2 2F2 B2 L2
17 U R U' L U2 R' U L 2F2 2R2 F2 2F2 L2 2R2 F2 2R2 F2
17 U R U' L U2 R' U L 2F2 2R2 F2 2F2 2L2 R2 B2 2R2 B2
17 U R U' L U2 R' U L 2F2 2R2 F2 2F2 2L2 B2 2R2 B2 R2
17 U R U' L U2 R' U L 2F2 2R2 F2 2F2 2R2 F2 2R2 F2 L2
17 U R U' L U2 R' U L 2F2 2R2 F2 2B2 2L2 B2 2R2 F2 L2
17 U R U' L U2 R' U L 2F2 2R2 F2 2B2 2R2 F2 2R2 B2 R2
17 U R U' L U2 R' U L 2F2 2R2 2F2 B2 2L2 F2 2L2 B2 L2
17 U R U' L U2 R' U L 2F2 2R2 2F2 B2 2R2 B2 2L2 F2 R2
17 U R U' L U2 R' U L 2F2 2R2 B2 2L2 F2 2L2 F2 2B2 R2
17 U R U' L U2 R' U L 2F2 2R2 B2 2L2 F2 2L2 2F2 B2 L2
17 U R U' L U2 R' U L 2F2 2R2 B2 2L2 B2 2R2 F2 2F2 L2
17 U R U' L U2 R' U L 2F2 2R2 B2 2L2 B2 2R2 B2 2B2 R2
17 U R U' L U2 R' U L 2F2 2R2 B2 2B2 L2 2R2 B2 2L2 B2
17 U R U' L U2 R' U L 2F2 2R2 B2 2B2 2L2 R2 F2 2L2 F2
17 U R U' L U2 R' U L 2F2 2R2 B2 2B2 2L2 F2 2L2 F2 R2
17 U R U' L U2 R' U L 2F2 2R2 B2 2B2 2R2 B2 2L2 B2 L2
17 U R U' L U2 R' U L 2F2 B2 2L2 F2 2L2 F2 2L2 2B2 R2
17 U R U' L U2 R' U L 2F2 B2 2L2 F2 2L2 B2 2R2 2F2 L2
17 U R U' L U2 R' U L 2F2 B2 2L2 F2 2B2 2L2 F2 L2 2R2
17 U R U' L U2 R' U L 2F2 B2 2L2 F2 2B2 2L2 F2 2L2 R2
17 U R U' L U2 R' U L 2F2 B2 2L2 2F2 B2 2R2 F2 L2 2R2
17 U R U' L U2 R' U L 2F2 B2 2L2 2F2 B2 2R2 F2 2L2 R2
17 U R U' L U2 R' U L 2F2 B2 2L2 B2 2R2 F2 2R2 2F2 L2
17 U R U' L U2 R' U L 2F2 B2 2L2 B2 2R2 B2 2L2 2B2 R2
17 U R U' L U2 R' U L 2F2 B2 2L2 2B2 L2 F2 2L2 F2 2R2
17 U R U' L U2 R' U L 2F2 B2 2L2 2B2 R2 F2 2L2 F2 2L2
17 U R U' L U2 R' U L 2F2 B2 2R2 F2 2R2 F2 2R2 2B2 R2
17 U R U' L U2 R' U L 2F2 B2 2R2 F2 2R2 B2 2L2 2F2 L2
17 U R U' L U2 R' U L 2F2 B2 2R2 F2 2B2 2R2 F2 L2 2L2
17 U R U' L U2 R' U L 2F2 B2 2R2 F2 2B2 2R2 F2 R2 2R2
17 U R U' L U2 R' U L 2F2 B2 2R2 2F2 B2 2L2 F2 L2 2L2
17 U R U' L U2 R' U L 2F2 B2 2R2 2F2 B2 2L2 F2 R2 2R2
17 U R U' L U2 R' U L 2F2 B2 2R2 B2 2L2 F2 2L2 2F2 L2
17 U R U' L U2 R' U L 2F2 B2 2R2 B2 2L2 B2 2R2 2B2 R2
17 U R U' L U2 R' U L 2F2 B2 2R2 2B2 L2 F2 2R2 F2 2L2
17 U R U' L U2 R' U L 2F2 B2 2R2 2B2 R2 F2 2R2 F2 2R2
17 U R U' L U2 R' U L B2 2L2 F2 2L2 F2 2F2 2L2 2B2 R2
17 U R U' L U2 R' U L B2 2L2 F2 2L2 F2 2B2 2L2 2F2 R2
17 U R U' L U2 R' U L B2 2L2 F2 2L2 2F2 B2 2R2 2F2 L2
17 U R U' L U2 R' U L B2 2L2 F2 2L2 B2 L2 2F2 2R2 2F2
17 U R U' L U2 R' U L B2 2L2 F2 2L2 B2 L2 2B2 2R2 2B2
17 U R U' L U2 R' U L B2 2L2 F2 2L2 B2 2B2 2R2 2B2 L2
17 U R U' L U2 R' U L B2 2L2 B2 2R2 F2 R2 2F2 2L2 2F2
17 U R U' L U2 R' U L B2 2L2 B2 2R2 F2 R2 2B2 2L2 2B2
17 U R U' L U2 R' U L B2 2L2 B2 2R2 F2 2F2 2L2 2F2 R2
17 U R U' L U2 R' U L B2 2L2 B2 2R2 F2 2B2 2L2 2B2 R2
17 U R U' L U2 R' U L B2 2L2 B2 2R2 2F2 B2 2R2 2B2 L2
17 U R U' L U2 R' U L B2 2L2 B2 2R2 B2 2B2 2R2 2F2 L2
17 U R U' L U2 R' U L B2 2R2 F2 2R2 F2 2F2 2R2 2B2 R2
17 U R U' L U2 R' U L B2 2R2 F2 2R2 F2 2B2 2R2 2F2 R2
17 U R U' L U2 R' U L B2 2R2 F2 2R2 2F2 B2 2L2 2F2 L2
17 U R U' L U2 R' U L B2 2R2 F2 2R2 B2 L2 2F2 2L2 2F2
17 U R U' L U2 R' U L B2 2R2 F2 2R2 B2 L2 2B2 2L2 2B2
17 U R U' L U2 R' U L B2 2R2 F2 2R2 B2 2B2 2L2 2B2 L2
17 U R U' L U2 R' U L B2 2R2 B2 2L2 F2 R2 2F2 2R2 2F2
17 U R U' L U2 R' U L B2 2R2 B2 2L2 F2 R2 2B2 2R2 2B2
17 U R U' L U2 R' U L B2 2R2 B2 2L2 F2 2F2 2R2 2F2 R2
17 U R U' L U2 R' U L B2 2R2 B2 2L2 F2 2B2 2R2 2B2 R2
17 U R U' L U2 R' U L B2 2R2 B2 2L2 2F2 B2 2L2 2B2 L2
17 U R U' L U2 R' U L B2 2R2 B2 2L2 B2 2B2 2L2 2F2 L2
17 U R U' L U2 R' U L B2 2B2 2L2 F2 2L2 F2 2L2 2F2 R2
17 U R U' L U2 R' U L B2 2B2 2L2 F2 2L2 B2 2R2 2B2 L2
17 U R U' L U2 R' U L B2 2B2 2L2 F2 2F2 2L2 F2 L2 2R2
17 U R U' L U2 R' U L B2 2B2 2L2 F2 2F2 2L2 F2 2L2 R2
17 U R U' L U2 R' U L B2 2B2 2L2 2F2 L2 F2 2L2 F2 2R2
17 U R U' L U2 R' U L B2 2B2 2L2 2F2 R2 F2 2L2 F2 2L2
17 U R U' L U2 R' U L B2 2B2 2L2 B2 2R2 F2 2R2 2B2 L2
17 U R U' L U2 R' U L B2 2B2 2L2 B2 2R2 B2 2L2 2F2 R2
17 U R U' L U2 R' U L B2 2B2 2L2 B2 2B2 2R2 F2 L2 2R2
17 U R U' L U2 R' U L B2 2B2 2L2 B2 2B2 2R2 F2 2L2 R2
17 U R U' L U2 R' U L B2 2B2 2R2 F2 2R2 F2 2R2 2F2 R2
17 U R U' L U2 R' U L B2 2B2 2R2 F2 2R2 B2 2L2 2B2 L2
17 U R U' L U2 R' U L B2 2B2 2R2 F2 2F2 2R2 F2 L2 2L2
17 U R U' L U2 R' U L B2 2B2 2R2 F2 2F2 2R2 F2 R2 2R2
17 U R U' L U2 R' U L B2 2B2 2R2 2F2 L2 F2 2R2 F2 2L2
17 U R U' L U2 R' U L B2 2B2 2R2 2F2 R2 F2 2R2 F2 2R2
17 U R U' L U2 R' U L B2 2B2 2R2 B2 2L2 F2 2L2 2B2 L2
17 U R U' L U2 R' U L B2 2B2 2R2 B2 2L2 B2 2R2 2F2 R2
17 U R U' L U2 R' U L B2 2B2 2R2 B2 2B2 2L2 F2 L2 2L2
17 U R U' L U2 R' U L B2 2B2 2R2 B2 2B2 2L2 F2 R2 2R2
17 U R U' L U2 R' U L 2B2 L2 F2 2B2 L2 2L2 2B2 2L2 F2
17 U R U' L U2 R' U L 2B2 L2 F2 2B2 L2 2R2 2B2 2R2 F2
17 U R U' L U2 R' U L 2B2 L2 F2 2B2 L2 F2 2L2 2B2 2L2
17 U R U' L U2 R' U L 2B2 L2 F2 2B2 L2 F2 2R2 2B2 2R2
17 U R U' L U2 R' U L 2B2 L2 F2 2B2 2L2 R2 2F2 2R2 B2
17 U R U' L U2 R' U L 2B2 L2 F2 2B2 R2 2R2 2F2 2L2 B2
17 U R U' L U2 R' U L 2B2 L2 2F2 B2 L2 2L2 2F2 2R2 B2
17 U R U' L U2 R' U L 2B2 L2 2F2 B2 L2 2R2 2F2 2L2 B2
17 U R U' L U2 R' U L 2B2 L2 2F2 B2 2L2 R2 2B2 2L2 F2
17 U R U' L U2 R' U L 2B2 L2 2F2 B2 R2 2R2 2B2 2R2 F2
17 U R U' L U2 R' U L 2B2 L2 2F2 B2 R2 F2 2L2 2B2 2L2
17 U R U' L U2 R' U L 2B2 L2 2F2 B2 R2 F2 2R2 2B2 2R2
17 U R U' L U2 R' U L 2B2 L2 2B2 2L2 F2 L2 F2 2B2 2L2
17 U R U' L U2 R' U L 2B2 L2 2B2 2L2 F2 L2 2F2 B2 2R2
17 U R U' L U2 R' U L 2B2 L2 2B2 2R2 F2 L2 F2 2B2 2R2
17 U R U' L U2 R' U L 2B2 L2 2B2 2R2 F2 L2 2F2 B2 2L2
17 U R U' L U2 R' U L 2B2 2L2 F2 2L2 F2 2L2 F2 2B2 L2
17 U R U' L U2 R' U L 2B2 2L2 F2 2L2 F2 2L2 2F2 B2 R2
17 U R U' L U2 R' U L 2B2 2L2 F2 2L2 B2 2R2 F2 2F2 R2
17 U R U' L U2 R' U L 2B2 2L2 F2 2L2 B2 2R2 B2 2B2 L2
17 U R U' L U2 R' U L 2B2 2L2 F2 2F2 2L2 F2 2L2 B2 R2
17 U R U' L U2 R' U L 2B2 2L2 F2 2F2 2R2 B2 2L2 F2 L2
17 U R U' L U2 R' U L 2B2 2L2 F2 2B2 L2 2L2 F2 2L2 F2
17 U R U' L U2 R' U L 2B2 2L2 F2 2B2 2L2 F2 2L2 F2 L2
17 U R U' L U2 R' U L 2B2 2L2 F2 2B2 R2 2R2 B2 2L2 B2
17 U R U' L U2 R' U L 2B2 2L2 F2 2B2 2R2 B2 2L2 B2 R2
17 U R U' L U2 R' U L 2B2 2L2 2F2 B2 L2 2L2 B2 2R2 B2
17 U R U' L U2 R' U L 2B2 2L2 2F2 B2 2L2 B2 2R2 B2 L2
17 U R U' L U2 R' U L 2B2 2L2 2F2 B2 R2 2R2 F2 2R2 F2
17 U R U' L U2 R' U L 2B2 2L2 2F2 B2 2R2 F2 2R2 F2 R2
17 U R U' L U2 R' U L 2B2 2L2 B2 2R2 F2 2R2 F2 2F2 R2
17 U R U' L U2 R' U L 2B2 2L2 B2 2R2 F2 2R2 B2 2B2 L2
17 U R U' L U2 R' U L 2B2 2L2 B2 2R2 B2 2L2 F2 2B2 L2
17 U R U' L U2 R' U L 2B2 2L2 B2 2R2 B2 2L2 2F2 B2 R2
17 U R U' L U2 R' U L 2B2 2L2 B2 2B2 2L2 B2 2R2 F2 R2
17 U R U' L U2 R' U L 2B2 2L2 B2 2B2 2R2 F2 2R2 B2 L2
17 U R U' L U2 R' U L 2B2 R2 F2 2B2 R2 F2 2L2 2B2 2R2
17 U R U' L U2 R' U L 2B2 R2 F2 2B2 R2 F2 2R2 2B2 2L2
17 U R U' L U2 R' U L 2B2 R2 2F2 B2 L2 F2 2L2 2B2 2R2
17 U R U' L U2 R' U L 2B2 R2 2F2 B2 L2 F2 2R2 2B2 2L2
17 U R U' L U2 R' U L 2B2 R2 2B2 2L2 F2 R2 F2 2B2 2R2
17 U R U' L U2 R' U L 2B2 R2 2B2 2L2 F2 R2 2F2 B2 2L2
17 U R U' L U2 R' U L 2B2 R2 2B2 2R2 F2 R2 F2 2B2 2L2
17 U R U' L U2 R' U L 2B2 R2 2B2 2R2 F2 R2 2F2 B2 2R2
17 U R U' L U2 R' U L 2B2 2R2 F2 2R2 F2 2R2 F2 2B2 L2
17 U R U' L U2 R' U L 2B2 2R2 F2 2R2 F2 2R2 2F2 B2 R2
17 U R U' L U2 R' U L 2B2 2R2 F2 2R2 B2 2L2 F2 2F2 R2
17 U R U' L U2 R' U L 2B2 2R2 F2 2R2 B2 2L2 B2 2B2 L2
17 U R U' L U2 R' U L 2B2 2R2 F2 2F2 2L2 B2 2R2 F2 L2
17 U R U' L U2 R' U L 2B2 2R2 F2 2F2 2R2 F2 2R2 B2 R2
17 U R U' L U2 R' U L 2B2 2R2 F2 2B2 L2 2R2 F2 2R2 F2
17 U R U' L U2 R' U L 2B2 2R2 F2 2B2 2L2 R2 B2 2R2 B2
17 U R U' L U2 R' U L 2B2 2R2 F2 2B2 2L2 B2 2R2 B2 R2
17 U R U' L U2 R' U L 2B2 2R2 F2 2B2 2R2 F2 2R2 F2 L2
17 U R U' L U2 R' U L 2B2 2R2 2F2 B2 L2 2R2 B2 2L2 B2
17 U R U' L U2 R' U L 2B2 2R2 2F2 B2 2L2 R2 F2 2L2 F2
17 U R U' L U2 R' U L 2B2 2R2 2F2 B2 2L2 F2 2L2 F2 R2
17 U R U' L U2 R' U L 2B2 2R2 2F2 B2 2R2 B2 2L2 B2 L2
17 U R U' L U2 R' U L 2B2 2R2 B2 2L2 F2 2L2 F2 2F2 R2
17 U R U' L U2 R' U L 2B2 2R2 B2 2L2 F2 2L2 B2 2B2 L2
17 U R U' L U2 R' U L 2B2 2R2 B2 2L2 B2 2R2 F2 2B2 L2
17 U R U' L U2 R' U L 2B2 2R2 B2 2L2 B2 2R2 2F2 B2 R2
17 U R U' L U2 R' U L 2B2 2R2 B2 2B2 2L2 F2 2L2 B2 L2
17 U R U' L U2 R' U L 2B2 2R2 B2 2B2 2R2 B2 2L2 F2 R2
16 2U2 D' B2 L2 U 2U2 L2 D' B2 U R2 U R2 U2 2D2 R2
16 2U2 D' B2 L2 U 2U2 L2 D' B2 U R2 U R2 2U2 D2 L2

PLL C

17 F2 L2 B D B' R2 B D' B' 2F2 L2 2B2 L2 2L2 2B2 2R2 F2
17 F2 L2 B D B' R2 B D' B' 2F2 L2 2B2 L2 2R2 2B2 2L2 F2
17 F2 L2 B D B' R2 B D' B' 2F2 L2 2B2 2L2 R2 2F2 2L2 B2
17 F2 L2 B D B' R2 B D' B' 2F2 L2 2B2 R2 B2 2L2 2F2 2L2
17 F2 L2 B D B' R2 B D' B' 2F2 L2 2B2 R2 B2 2R2 2F2 2R2
17 F2 L2 B D B' R2 B D' B' 2F2 L2 2B2 R2 2R2 2F2 2R2 B2
17 F2 L2 B D B' R2 B D' B' 2F2 R2 2F2 L2 F2 2L2 2B2 2L2
17 F2 L2 B D B' R2 B D' B' 2F2 R2 2F2 L2 F2 2R2 2B2 2R2
17 F2 L2 B D B' R2 B D' B' 2F2 R2 2F2 L2 2L2 2B2 2L2 F2
17 F2 L2 B D B' R2 B D' B' 2F2 R2 2F2 L2 2R2 2B2 2R2 F2
17 F2 L2 B D B' R2 B D' B' 2F2 R2 2F2 2L2 R2 2F2 2R2 B2
17 F2 L2 B D B' R2 B D' B' 2F2 R2 2F2 R2 2R2 2F2 2L2 B2
17 F2 L2 B D B' R2 B D' B' 2B2 L2 2F2 L2 2L2 2F2 2R2 F2
17 F2 L2 B D B' R2 B D' B' 2B2 L2 2F2 L2 2R2 2F2 2L2 F2
17 F2 L2 B D B' R2 B D' B' 2B2 L2 2F2 2L2 R2 2B2 2L2 B2
17 F2 L2 B D B' R2 B D' B' 2B2 L2 2F2 R2 B2 2L2 2B2 2L2
17 F2 L2 B D B' R2 B D' B' 2B2 L2 2F2 R2 B2 2R2 2B2 2R2
17 F2 L2 B D B' R2 B D' B' 2B2 L2 2F2 R2 2R2 2B2 2R2 B2
17 F2 L2 B D B' R2 B D' B' 2B2 R2 2B2 L2 F2 2L2 2F2 2L2
17 F2 L2 B D B' R2 B D' B' 2B2 R2 2B2 L2 F2 2R2 2F2 2R2
17 F2 L2 B D B' R2 B D' B' 2B2 R2 2B2 L2 2L2 2F2 2L2 F2
17 F2 L2 B D B' R2 B D' B' 2B2 R2 2B2 L2 2R2 2F2 2R2 F2
17 F2 L2 B D B' R2 B D' B' 2B2 R2 2B2 2L2 R2 2B2 2R2 B2
17 F2 L2 B D B' R2 B D' B' 2B2 R2 2B2 R2 2R2 2B2 2L2 B2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 L2 2B2 L2 2F2 2R2 B2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 L2 2B2 R2 2B2 2L2 F2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 L2 2L2 2B2 R2 F2 2B2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 L2 2L2 2B2 R2 2F2 B2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 R2 2F2 L2 2B2 2L2 F2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 R2 2F2 R2 2F2 2R2 B2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 R2 2R2 2F2 R2 F2 2B2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 R2 2R2 2F2 R2 2F2 B2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 2R2 F2 R2 2F2 R2 2B2
17 F2 L2 B D B' R2 B D' B' 2L2 2F2 2R2 B2 R2 2F2 R2 2F2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 L2 2F2 L2 2B2 2R2 B2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 L2 2F2 R2 2F2 2L2 F2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 L2 2L2 2F2 R2 F2 2F2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 L2 2L2 2F2 R2 B2 2B2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 R2 2B2 L2 2F2 2L2 F2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 R2 2B2 R2 2B2 2R2 B2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 R2 2R2 2B2 R2 F2 2F2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 R2 2R2 2B2 R2 B2 2B2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 2R2 F2 R2 2B2 R2 2F2
17 F2 L2 B D B' R2 B D' B' 2L2 2B2 2R2 B2 R2 2B2 R2 2B2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 L2 2B2 L2 2F2 2L2 B2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 L2 2B2 R2 2B2 2R2 F2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 L2 2R2 2B2 R2 F2 2B2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 L2 2R2 2B2 R2 2F2 B2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 2L2 F2 R2 2F2 R2 2B2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 2L2 B2 R2 2F2 R2 2F2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 2L2 R2 2F2 R2 F2 2B2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 2L2 R2 2F2 R2 2F2 B2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 R2 2F2 L2 2B2 2R2 F2
17 F2 L2 B D B' R2 B D' B' 2R2 2F2 R2 2F2 R2 2F2 2L2 B2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 L2 2F2 L2 2B2 2L2 B2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 L2 2F2 R2 2F2 2R2 F2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 L2 2R2 2F2 R2 F2 2F2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 L2 2R2 2F2 R2 B2 2B2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 2L2 F2 R2 2B2 R2 2F2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 2L2 B2 R2 2B2 R2 2B2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 2L2 R2 2B2 R2 F2 2F2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 2L2 R2 2B2 R2 B2 2B2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 R2 2B2 L2 2F2 2R2 F2
17 F2 L2 B D B' R2 B D' B' 2R2 2B2 R2 2B2 R2 2B2 2L2 B2

PLL M

16 U 2U2 B2 D L2 U' 2D2 L2 B2 D' R2 U' R2 U2 2U2 R2
16 U 2U2 B2 D L2 U' 2D2 L2 B2 D' R2 U' R2 D2 2D2 L2

PLL K

14 2L2 F2 D R2 D' L2 D R2 D 2R2 D2 L2 F2 2L2

PLL 17

17 U F2 L2 B D B' L2 F U' F 2F2 U2 L2 2B2 L2 U2 2F2
17 U F2 L2 B D B' L2 F U' F 2F2 U2 R2 2F2 R2 U2 2F2
17 U F2 L2 B D B' L2 F U' F 2F2 D2 L2 2B2 L2 D2 2F2
17 U F2 L2 B D B' L2 F U' F 2F2 D2 R2 2F2 R2 D2 2F2
17 U F2 L2 B D B' L2 F U' F 2F2 R2 2F2 L2 2L2 2B2 2R2
17 U F2 L2 B D B' L2 F U' F 2F2 R2 2F2 L2 2R2 2B2 2L2
17 U F2 L2 B D B' L2 F U' F 2F2 R2 2F2 2L2 R2 2F2 2L2
17 U F2 L2 B D B' L2 F U' F 2F2 R2 2F2 R2 2R2 2F2 2R2
17 U F2 L2 B D B' L2 F U' F 2B2 U2 L2 2F2 L2 U2 2B2
17 U F2 L2 B D B' L2 F U' F 2B2 U2 R2 2B2 R2 U2 2B2
17 U F2 L2 B D B' L2 F U' F 2B2 D2 L2 2F2 L2 D2 2B2
17 U F2 L2 B D B' L2 F U' F 2B2 D2 R2 2B2 R2 D2 2B2
17 U F2 L2 B D B' L2 F U' F 2B2 R2 2B2 L2 2L2 2F2 2R2
17 U F2 L2 B D B' L2 F U' F 2B2 R2 2B2 L2 2R2 2F2 2L2
17 U F2 L2 B D B' L2 F U' F 2B2 R2 2B2 2L2 R2 2B2 2L2
17 U F2 L2 B D B' L2 F U' F 2B2 R2 2B2 R2 2R2 2B2 2R2
17 U F2 L2 B D B' L2 F U' F 2L2 2F2 L2 2B2 L2 2F2 2L2
17 U F2 L2 B D B' L2 F U' F 2L2 2F2 L2 2B2 R2 2B2 2R2
17 U F2 L2 B D B' L2 F U' F 2L2 2F2 L2 2R2 2B2 R2 2B2
17 U F2 L2 B D B' L2 F U' F 2L2 2F2 2L2 R2 2F2 R2 2F2
17 U F2 L2 B D B' L2 F U' F 2L2 2F2 R2 2F2 L2 2B2 2R2
17 U F2 L2 B D B' L2 F U' F 2L2 2F2 R2 2F2 R2 2F2 2L2
17 U F2 L2 B D B' L2 F U' F 2L2 2B2 L2 2F2 L2 2B2 2L2
17 U F2 L2 B D B' L2 F U' F 2L2 2B2 L2 2F2 R2 2F2 2R2
17 U F2 L2 B D B' L2 F U' F 2L2 2B2 L2 2R2 2F2 R2 2F2
17 U F2 L2 B D B' L2 F U' F 2L2 2B2 2L2 R2 2B2 R2 2B2
17 U F2 L2 B D B' L2 F U' F 2L2 2B2 R2 2B2 L2 2F2 2R2
17 U F2 L2 B D B' L2 F U' F 2L2 2B2 R2 2B2 R2 2B2 2L2
17 U F2 L2 B D B' L2 F U' F 2R2 2F2 L2 2B2 L2 2F2 2R2
17 U F2 L2 B D B' L2 F U' F 2R2 2F2 L2 2B2 R2 2B2 2L2
17 U F2 L2 B D B' L2 F U' F 2R2 2F2 L2 2L2 2B2 R2 2B2
17 U F2 L2 B D B' L2 F U' F 2R2 2F2 R2 2F2 L2 2B2 2L2
17 U F2 L2 B D B' L2 F U' F 2R2 2F2 R2 2F2 R2 2F2 2R2
17 U F2 L2 B D B' L2 F U' F 2R2 2F2 R2 2R2 2F2 R2 2F2
17 U F2 L2 B D B' L2 F U' F 2R2 2B2 L2 2F2 L2 2B2 2R2
17 U F2 L2 B D B' L2 F U' F 2R2 2B2 L2 2F2 R2 2F2 2L2
17 U F2 L2 B D B' L2 F U' F 2R2 2B2 L2 2L2 2F2 R2 2F2
17 U F2 L2 B D B' L2 F U' F 2R2 2B2 R2 2B2 L2 2F2 2L2
17 U F2 L2 B D B' L2 F U' F 2R2 2B2 R2 2B2 R2 2B2 2R2
17 U F2 L2 B D B' L2 F U' F 2R2 2B2 R2 2R2 2B2 R2 2B2

PLL S

18 2U2 F2 B2 U F2 U2 L2 D 2D2 R2 U2 F2 D' 2D2 B2 U2 B2 L2
18 2U2 F2 B2 U F2 U2 L2 D 2D2 R2 U2 F2 D' B2 U2 B2 2D2 L2

PLL Q

17 2U2 D F2 U R2 U2 2U2 F2 D' F2 U L2 D2 B2 U' 2U2 R2

PLL X

18 L2 U2 F2 D B2 2U2 D' F2 L2 F2 D B2 D 2U2 R2 D2 F2 2D2

PLL 22

17 2U2 F2 U2 L2 U' L2 U2 L2 F2 U F2 2U2 L2 U2 F2 2U2 L2
 
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Chris, if I actually use these algorithms, I'd like to have #4, with all solid colors on the top, meaning none of the cubies should be greyed out. Of course permutation arrows would be fun, but I actually think that many recognize patterns by blocks and not permutations per se. :)
 

Christopher Mowla

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Hi everyone,

I just submitted the update to the wiki. Check it out!

If anyone wants to know why I chose the letters that I did to represent each permutation, I can make a brief (unlisted) video of me drawing the symbol via the permutation arrows. Besides the actual letters, I tried to follow the PLL wiki page convention which says that a cw edge cycle is labeled as the "b" permutation, and vice versa.

I may try to find algorithms in the future for some of these cases from time to time.

Interestingly, in the process of me trying to create algorithms to some cases, I found (2L e2 2R' e2)3, as well as decent algorithm to what I have labeled as the "C Perm".
Ca
2L 2R U2 x U' L U' R2 U L' U' r2 U2 x' U2 2L' 2R' U' (21,16)

And its mirror
Cb
2L' 2R' U2 x' U L' U R2 U' L U r2 U2 x U2 2L 2R U (21,16)

As far as move count, Alexander Ooms algorithm for Ca is l2 U F2 U' B2 U F2 U 2L2 U2 B2 l2 U', which is (21,13). So I matched his alg's block quarter turn move count, but I'm pretty sure my alg is faster.

PLL P

17 U R U' L U2 R' U L 2L2 F2 L2 2L2 F2 2F2 2L2 F2 2F2
This is really interesting. It's a (20,14) algorithm, which breaks the previous records in both block half turns and block quarter turns! You, sir, are indeed a legend!
 
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Christopher Mowla

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200k views of the 4x4x4 parity algorithms wiki page! :)

I intend to add more external links, but I was wondering if I should do it in the form of a "narrative"/historical account (since a lot happened in a relatively short time frame, and there seems to be little activity nowadays), where I link to a variety of threads in the words of the sentences themselves?

That is, I change the list of external links into paragraph format, because as of right now, they are "organized" but, at the same time, you have to view each one and read the thread to see what the particular significance of discussion it was.

What do you all think?
 

Christopher Mowla

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Just to give an update to recent changes to the 4x4x4 parity algorithms wiki page, I have added a unoriented 4-cycle of dedges section (for both cases)
https://www.speedsolving.com/wiki/index.php/4x4x4_Parity_Algorithms#Four_Dedges_.28Unoriented.29

In addition, I have added all move optimal single slice half turn algorithms for the following cases.
https://www.speedsolving.com/wiki/index.php/4x4x4_Parity_Algorithms#15_STM_Solutions
https://www.speedsolving.com/wiki/index.php/4x4x4_Parity_Algorithms#Adjacent_2-Swap
https://www.speedsolving.com/wiki/index.php/4x4x4_Parity_Algorithms#Opposite.2Fdiagonal_2-Swap
 

Nikhil Soares

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Hi I am Nikhil Soares and I recently broke the Megaminx OH UWR with a time of 2:09.67 . The proof can be found on my YouTube channel named " Cuber Nikhil ". Please tell me how to get it recognised on the Speedsolving Wiki "List of UWRs " page.
 

Nikhil Soares

Member
Joined
Mar 6, 2016
Messages
26
Location
Mumbai, India
WCA
2015SOAR01
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NEW MEGAMINX OH UWR SINGLE AND AVERAGE!!!
SINGLE - 1:54.57
AVERAGE- 2:03.57
Please update this in the speedsolving wiki in the 'List of unofficial works records' page.
Both records broken by Nikhil Soares (me)
On 29th December 2016.
Video proof-https://youtu.be/oz5zHolGpcE
 
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