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 Post subject: Re: Patterns
PostPosted: Fri Jun 06, 2014 5:16 am 
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This simple variety is also quite nice:

6X: 4 Long Slashes (v3) (Order 4) (27 btm).

Alternative name would be 6X: Zig-Zag (Order 4) with surplus corners ...

Per 8-)

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 Post subject: Re: Patterns
PostPosted: Mon Jun 09, 2014 12:10 pm 
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@ Per
Your recent solutions were too good to further optimize them! 8-)


So I created new ones instead.
… but maybe they are hard to improve as well. :wink:

4x: Zig-Zag (Order 4) with surplus corners
WF2 U2 WR2 D WF2 D2 WR2 U'
R' F' WD' ML' MB' MU' WF' ML MD TF R (19 btm)


4x: 6 Diagonals (Version 1) with surplus corners
U' D2 R B2 D' R' SD' SR D R F2 D' R'
(MF MD MF' MB' MU' MB WD') SR' (21 btm)

6x: 6 Diagonals (Version 1) with surplus corners
U' D2 R B2 D' R' SD' SR D R F2 D' R'
((NF ND NF') (MF MD MF') (MB' MU' MB) (NB' NU' NB) WD') SR' (27 btm)


4x: 6 Diagonals (Version 2) with surplus corners
R D' R U' F U F' R' D F U' F' U
L' (MF MU' MF' MB' MD MB WD') SR' (22 btm)

6x: 6 Diagonals (Version 2) with surplus corners
R D' R U' F U F' R' D F U' F' U
L' ((NF NU' NF') (MF MU' MF') (MB' MD MB) (NB' ND NB) WD') SR' (28 btm)


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 Post subject: Re: Patterns
PostPosted: Wed Jun 11, 2014 5:23 am 
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I could not improve any of Walter's recent diagonal patterns, so I made up a new one instead :mrgreen:

6X: 3 Cutout and Shifted Rings with Dots (32 btm).

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Thu Jun 12, 2014 5:39 am 
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And another pattern a bit similar, but simpler:

6X: 3 Big Shifted 5x5 Squares (18 btm).

Slightly more complex:

6X: "Impossible" Huge Cube in a Cube (24 btm).

Too lazy to rewrite it without cube rotations :lol:

Per :)

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 Post subject: Re: Patterns
PostPosted: Sun Jun 15, 2014 6:53 am 
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For all who are interested to know how algorithms can be improved, here is a simple example:


By analyzing Per's latest 'Impossible Huge Cube in a Cube' pattern you may discover that 3 algorithms have been used to construct it:

R' (TU F2 TU' F' TL F2 TL' F) R
R' (MD' F2 MD F' MR' F2 MR F) R
R' (F' U T3B2 U' F U T3B2 U') R (30 btm)

… Per then optimized it by canceling out 6 moves:

4x: 'Impossible' Huge Cube in a Cube
R' (TU F2 TU' F' TL F2 TL' F)
(MD' F2 MD F' MR' F2 MR
U T3B2 U' F U T3B2 U') R (24 btm)


For my solution I just arranged the 3 parts in a different order.
And I also thought it looks nicer to write F2 D' F D F2 instead of T3B2 U' F U T3B2 in part 2: :wink:

Step 1
R' (MD' F2 MD F' MR' F2 MR F) R
R' (F' U F2 D' F D F2 U') R
R' (TU F2 TU' F' TL F2 TL' F) R (30 btm)

Since all segments use the same set up moves, it can also be written like this:

Step 2
R' (MD' F2 MD F' MR' F2 MR F)
(F' U F2 D' F D F2 U')
(TU F2 TU' F' TL F2 TL' F) R (26 btm)

… and it is even possible to cancel out 3 more moves:

Final solution
R' MD' F2 MD F' MR' F2 MR
U F2 D' F D F2 MU
F2 TU' F' TL F2 TL' F R (23 btm) - 1 move

As you can see, optimizing algorithms can be very easy. :mrgreen:


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 Post subject: Re: Patterns
PostPosted: Sun Jun 15, 2014 8:08 am 
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perfredlund wrote:
And another pattern a bit similar, but simpler:

6X: 3 Big Shifted 5x5 Squares (18 btm).

This can be improved by insertion:

4x: 3 Big Shifted 3x3 Squares (complete algorithms)
R' (F' TL F2 TL' F TU F2 TU') R
R' (F' MR' F2 MR F MD' F2 MD) R (20 btm)

Part 2 can be inserted into part 1:

4x: 3 Big Shifted 3x3 Squares (after insertion)
R' (F' TL F2 TL' F (F' MR' F2 MR F MD' F2 MD) TU F2 TU') R (18 btm)

Optimized algorithm:

4x: 3 Big Shifted 3x3 Squares
R' (F' TL F2 TL' MR' F2 MR F MD' F2 MD TU F2 TU') R (16 btm) -2 moves


And the same pattern on a 6x6:

6x: 3 Big Shifted 5x5 Squares
R' (F' T3L F2 T3L' VR' F2 VR F VD' F2 VD T3U F2 T3U') R (16 btm) -2 moves


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 Post subject: Re: Patterns
PostPosted: Sun Jun 15, 2014 8:41 am 
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I'd like to present several patterns of Bauhinia Dodecahedron which I recently made.
All of them are fully simmetrical and base on swapping the pieces between opposite faces.

Pattern 001 - inverted centers:
Attachment:
001.JPG
001.JPG [ 211.58 KiB | Viewed 937 times ]


Pattern 010 - inverted triangles:
Attachment:
010.JPG
010.JPG [ 213.38 KiB | Viewed 937 times ]


Pattern 011 - inverted triangles and centers:
Attachment:
011.JPG
011.JPG [ 209.31 KiB | Viewed 937 times ]


Pattern 100 - inverted petals:
Attachment:
100.JPG
100.JPG [ 207.97 KiB | Viewed 937 times ]


Pattern 101 - inverted petals and centers:
Attachment:
101.JPG
101.JPG [ 211.68 KiB | Viewed 937 times ]


Pattern 110 - inverted petals and triangles:
Attachment:
110.JPG
110.JPG [ 202.53 KiB | Viewed 937 times ]


Pattern 111 - inverted petals, triangles and centers:
Attachment:
111.JPG
111.JPG [ 207.38 KiB | Viewed 937 times ]


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 Post subject: Re: Patterns
PostPosted: Sun Jun 15, 2014 1:42 pm 
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@ amarok
The patterns look beautiful!
Is there a similarity in the algorithms or did you need a different approach for each version?


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 Post subject: Re: Patterns
PostPosted: Mon Jun 16, 2014 4:28 am 
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@Walter:

You did not post the 6x6x6 version, so here it is:

6X: "Impossible" Huge Cube in a Cube (23 btm).

I also find it nicer to show the huge cube :wink:

EDIT:

Even better:

6X: "Impossible" Huge Cube in a Cube (-1) (22 btm).

Per

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 Post subject: Re: Patterns
PostPosted: Mon Jun 16, 2014 1:47 pm 
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Waran wrote:
@ amarok
The patterns look beautiful!
Is there a similarity in the algorithms or did you need a different approach for each version?


I didn't used any special algorithm for making the patterns.

I started with the solved puzzle and used algorithm for swapping 3 centers to setup the pattern 001. Each time when centers are swapped also triangles move to different faces. It is good to correct their positions immediately otherwise triangles start to migrate without the control and finally are completely scrambled. For this I used algorithm for swapping 3 triangles.

After pattern 001 I made patterns 010 and 011 using the same routine. During making 100 I used algorithm for swapping 3 petals and in this time centers and triangles also were disturbed so I had to fix them as soon as possible.

Creation of patterns 101, 110 and 111 from pattern 100 doesn't differ from making 001, 010 and 011 from solved puzzle.

I know that this is not the most optimal way but for me was very enjoyable one.


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 Post subject: Re: Patterns
PostPosted: Sun Jun 22, 2014 7:28 am 
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@ Per
Excellent optimization work!!! 8-)


Here is new and quite psychedelic looking pattern: :wink:

7x: 2 Outlined Crosses, 4 Twirled Stripes
SF' SD B' L2 U' D' L F2 SD R2 F' R' L'
NU TR' TL' TF TU2 S2L TF2 TD' TF' TB' TU2 TL' S2U S2R TD2
S3B S3D T3B' T3L2 T3U' T3D' T3L T3F2 S3D T3R2 T3F' T3R' T3L'
S2U2 NU' N3D D (45 btm)


These are the shortest sequences I know to achieve these classic patterns:

4x: 2 Rings
B' U' B L2 F' D MR2 MB2 TR2 MB2 R2 F' MB2 D' F2 ML2
TF2 TD' TF' TD TF' TL2 TF TD' TF' (25 btm)

5x: 2 Rings
NR' F' NR NB2 NR' F NR NB2
L B' L NF' L' SF' L NF' L' F L NF2 NL2
(ND TF2)2 TL2 ND TL2 NU' TF2 NU TF2 ND2 TL2 (34 btm)


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 Post subject: Re: Patterns
PostPosted: Wed Jun 25, 2014 4:11 am 
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Here is a slightly improved version of the 5X rings:

5X: 2 Rings (-1) (33 btm).

Done by postponing the U/D spots until the end :wink:

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Wed Jun 25, 2014 2:03 pm 
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I moved the U/D spots in the middle and gained another move: :mrgreen:

5x: 2 Rings
L B' L NF' L' SF' L NF' L' F L NF2 NL2
(ND TF2)2 L2 D' NR2 D NL2 D' NR2 TD
TL2 NU' TF2 NU TF2 ND2 TL2 (32 btm) -1 move


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 Post subject: Re: Patterns
PostPosted: Wed Jun 25, 2014 5:29 pm 
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Waran wrote:
I moved the U/D spots in the middle and gained another move: :mrgreen:

5x: 2 Rings
L B' L NF' L' SF' L NF' L' F L NF2 NL2
(ND TF2)2 L2 D' NR2 D NL2 D' NR2 TD
TL2 NU' TF2 NU TF2 ND2 TL2 (32 btm) -1 move


I think I found the best insertion for the spots:

5X: 2 Rings (-1) (31 btm).

And now I believe this pattern algorithm is already optimal :wink:

Per :D

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 Post subject: Re: Patterns
PostPosted: Thu Jun 26, 2014 3:46 pm 
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@ Per
Yep, it looks quite compact now! 8-)
I didn't found a way to further improve it, but I was lucky on a very similar patterns:

Waran wrote:
5x: 2 Rings (4x4x4)
F2 R2 U' F' U R' U2 R U' NF
TU TR' TU2 TR TU' TF TU TR2 TF2
NB' U' NR' MU NR U NR' MU' NR NB
D2 NL2 D B' R B D' NL2 D B' R' B D (42 btm) -3 moves

5x: 2 Rings (4x4x4)
F2 R2 U' F' U R' U2 R U' NF
TU TR' TU2 TR TU' TF TU TR2 TF2
D2 NL2 D TB' U' NR' MD' NR U NR' MD NR NB R B D' NL2 D B' R' B D (41 btm) -1 move

perfredlund wrote:
Same pattern on V6 cube:

6X: 2 Rings (5x5x5) (32 btm).

Much easier to obtain :wink:

Per :roll:

6x: 2 Rings (5x5x5)
F2 R2 U' F' U R' U2 R U' F'
VR2 VF2 T3R2 VF2 NR2 MF2 T3R2 MF2 MR2 NF2
TF TU TR' TU2 TR TU' TF TU TR2 TF2 (30 btm) -2 moves


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 Post subject: Re: Patterns
PostPosted: Fri Jun 27, 2014 6:44 am 
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Or even better:

6X: 2 Rings (5x5x5) (-2) (28 btm).

The middle corrective step improved to VR2 NF2 T3R2 VF2 NR2 N3F2 TR2 NF2

Per :wink:

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Last edited by perfredlund on Sun Jun 29, 2014 3:42 pm, edited 1 time in total.

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 Post subject: Re: Patterns
PostPosted: Fri Jun 27, 2014 6:58 am 
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And the 5X version could also be easily improved:

5X: 2 Rings (4x4x4) (-9) (32 btm).

Walter, you can easily work out how I did it :mrgreen:

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Fri Jun 27, 2014 9:10 am 
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The other day I put a 3x3x3 checkerboard pattern on a 6x6x6 cube, then left it where others in the family could see it and perhaps do something with it. Someone did. When I saw the pattern I was amazed. I tried to undo it, but couldn't figure it out, and ended up solving the cube with commutators. Can anyone explain how to make this pattern?
Attachment:
SAM_0374.jpg
SAM_0374.jpg [ 354.61 KiB | Viewed 684 times ]

Attachment:
SAM_0375.jpg
SAM_0375.jpg [ 266.05 KiB | Viewed 684 times ]

The top checkerboard pattern in each picture is the same side of the cube.

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 Post subject: Re: Patterns
PostPosted: Fri Jun 27, 2014 2:17 pm 
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@ robertpauljr

Here is a solution how you can create checkerboard patterns on 4 faces:

6x: 4 Checkerboards
U2 MU2 ND2 R2 MR2 NL2 F2 MF2 NB2 R2 MR2 NL2 (12 btm)

I guess you also tried to achieve a checkerboard pattern on ALL 6 faces.
Unfortunately this isn't possible on cubes with an even amount of layers.
… but at least this algorithm here comes pretty close: :wink:

6x: (almost) 6 Checkerboards
NU2 MD2 D2 R2 NF2 MB2 B2
R2 VL2 T3D2 VR2 T3U2 M2R2
MF MB SD' F2 SD VF' VB' SD' F2 SD NF NB (25 btm)


@ Per

I also had a short solution for the 5x Rings pattern, but wasn't able to post it earlier.
However, your solution is much better anyway! Excellent work, Per! 8-)

As you can see my approach goes in a similar direction:

5x: 2 Rings (4x4x4)
F2 R2 U' F' U R' U2 R U' F'
NF2 R2 NF2 TR2 NF2 NR2
TF TU TR' TU2 TR TU' TF TU TR2 TF2
NR' NL' MD2 NR NL U NR NL MD2 NR' NL' U' (38 btm)


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 Post subject: Re: Patterns
PostPosted: Fri Jun 27, 2014 3:02 pm 
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@ Walter:

You could have easily saved 5 turns with a more efficient finish!

5X: 2 Rings(4x4x4) (33 btm).

Per :mrgreen:

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 Post subject: Re: Patterns
PostPosted: Fri Jun 27, 2014 3:31 pm 
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And here is the 4X version:

4X: 2 Rings (3x3x3) (25 btm).

Per :roll:

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 Post subject: Re: Patterns
PostPosted: Sat Jun 28, 2014 1:51 am 
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Waran wrote:
@ robertpauljr

Here is a solution how you can create checkerboard patterns on 4 faces:

6x: 4 Checkerboards
U2 MU2 ND2 R2 MR2 NL2 F2 MF2 NB2 R2 MR2 NL2 (12 btm)


Thanks Waran. I am on a borrowed computer that is not set up to view the link you sent. :(
Another thing: I know what U, D, R, and L are in your algorithm above (if they mean the same thing they do with a 3x3 cube, but what are M and N on a 6x6 cube?

Waran wrote:
I guess you also tried to achieve a checkerboard pattern on ALL 6 faces.
Unfortunately this isn't possible on cubes with an even amount of layers.
… but at least this algorithm here comes pretty close: :wink:

I already knew from experience with a 4x4 cube that even numbered cubes can not be checker boarded on all 6 sides at once. That is why I put a 3x3 cube checkerboard pattern on it. In other words I checker boarded it two layers at a time so that it was checker boarded on all 6 sides but looked like a 3x3 cube.

Waran wrote:
(almost) 6 Checkerboards
NU2 MD2 D2 R2 NF2 MB2 B2
R2 VL2 T3D2 VR2 T3U2 M2R2
MF MB SD' F2 SD VF' VB' SD' F2 SD NF NB (25 btm)
Once I find out what exactly all of this means, I'll try it.

But in the meantime, perhaps you, or Per, or someone, could take a look at the pics I posted above and see if you can duplicate it. You see, the blue and green sides are solid. The white and yellow sides are checkerboards. But the red and orange sides are the ones that baffle me. They are half checkerboard and half stripes. How does that work? After I put the 3x3 checkerboard pattern on it, my daughter-in-law picked it up after I had left the room and fiddled with it some. Then she put it down. She is not an avid cuber. Later I came back in and saw it as it is pictured above. What? How'd you do that? She couldn't tell me. So I posted the pictures on the Puzzle Photography page on Facebook. Several people responded, but no one could explain the red-orange sides. Then I remembered the Patterns thread on the twistypuzzles forum. I thought someone would say, oh that is easy—just do...

I guess my job today will be to play with the 6x6 cube, seeing what i can learn about patterns. :D

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 Post subject: Re: Patterns
PostPosted: Sat Jun 28, 2014 4:29 am 
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Referring to my post above: I got close to my pictured pattern, but by the time I got there I had no idea exactly how I did it.

So after trying other ideas and just getting further away from the goal, I solved the cube and tried U2 MU2 ND2 R2 MR2 NL2 F2 MF2 NB2 R2 MR2 NL2. I guessed that M was the layer in from L and N was the next layer in. But when I got to R2 MR2 I realized I was not interpreting it correctly, since R2 MR2 would just equal M. So now I wonder if MR2 = (MR)2. Tried it. R2 MR2 still makes no sense, since M and R are parallel. :?

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 Post subject: Re: Patterns
PostPosted: Sat Jun 28, 2014 4:42 am 
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@ robertpauljr

Oh, that is easy – just add T3R2 NF2 T3R2 on the '4 Checkerboard' pattern and then you get: :wink:

6x: 2 Checkerboards, 2 Half Checkerboards and Stripes
U2 MU2 ND2 R2 MR2 NL2 F2 MF2 NB2 R2 MR2 NL2
T3R2 NF2 T3R2 (15 btm)

Of course instead of R2 MR2 NL2 T3R2 we can also write NR2 NL2 and then we have:

6x: 2 Checkerboards, 2 Half Checkerboards and Stripes
U2 MU2 ND2 R2 MR2 NL2 F2 MF2 NB2 NR2 NL2 NF2 T3R2 (13 btm)

You may find here more informations about the notation for the 6x6x6 and other cube models.

EDIT:
By the way, the algorithm can also be written by using N moves instead of M moves, because N3R is equal to MR:

6x: 2 Checkerboards, 2 Half Checkerboards and Stripes
U2 N3U2 ND2 R2 N3R2 NL2 F2 N3F2 NB2 NR2 NL2 NF2 T3R2 (13 btm)


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 Post subject: Re: Patterns
PostPosted: Sat Jun 28, 2014 8:12 am 
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@ Waran,

Thank you. You solved the mystery, and showed me where I could learn more about big cube notation. :D

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 Post subject: Re: Patterns
PostPosted: Sat Jun 28, 2014 3:41 pm 
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Waran wrote:
@ robertpauljr

Oh, that is easy – just add T3R2 NF2 T3R2 on the '4 Checkerboard' pattern and then you get: :wink:

6x: 2 Checkerboards, 2 Half Checkerboards and Stripes
U2 MU2 ND2 R2 MR2 NL2 F2 MF2 NB2 R2 MR2 NL2
T3R2 NF2 T3R2 (15 btm)

Of course instead of R2 MR2 NL2 T3R2 we can also write NR2 NL2 and then we have:

6x: 2 Checkerboards, 2 Half Checkerboards and Stripes
U2 MU2 ND2 R2 MR2 NL2 F2 MF2 NB2 NR2 NL2 NF2 T3R2 (13 btm)

You may find here more informations about the notation for the 6x6x6 and other cube models.

EDIT:
By the way, the algorithm can also be written by using N moves instead of M moves, because N3R is equal to MR:

6x: 2 Checkerboards, 2 Half Checkerboards and Stripes
U2 N3U2 ND2 R2 N3R2 NL2 F2 N3F2 NB2 NR2 NL2 NF2 T3R2 (13 btm)


Or why not simply:

6X: 2 Checkerboards, 2 Half Checkerboards and Stripes (-2) (11 btm).

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Sun Jun 29, 2014 9:10 am 
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@ robertpauljr
Anytime, if you have another mystery or nice pattern to solve. :D

By slightly modifying Per's algorithm it is even possible to show the half checkerboard half stripe pattern on all 4 faces:

6x: 4 Checkerboard-Stripes
NU2 MD2 D2 T3R2 B2 MB2 T3R2 T3F2 NR2 T3F2 (10 btm)


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 Post subject: Re: Patterns
PostPosted: Sun Jun 29, 2014 9:22 am 
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Any good ideas to do this pattern more efficiently?
In this solution part 1 does the edges and all the rest is used for the centers.

5x: Double Python
U2 R U' F L2 F' NL NR' F L2 F' U R' U' NR NL' TU'
L2 NU2 B2 (NU' NB NF' ND' NU NB' NF ND) B2 NU2 L2 NU
NF NB D' MR' ND' MR2 ND MR' D NB' NF'
NR NL U MF NU' MF2 NU MF U' NL' NR' (54 btm)


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 Post subject: Patterns
PostPosted: Tue Jul 01, 2014 2:33 pm 
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Wave on Master skewb:

Image

Threefold mezon on Mosaic cube:

Image

The large snake on Mosaic cube:

Image


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 Post subject: Re: Patterns
PostPosted: Tue Jul 01, 2014 6:03 pm 
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Here's a pattern I did on Eitan's Star.

Attachment:
pattern3.jpg
pattern3.jpg [ 176.86 KiB | Viewed 492 times ]


Attachment:
pattern4.jpg
pattern4.jpg [ 191.24 KiB | Viewed 492 times ]


Attachment:
pattern6.jpg
pattern6.jpg [ 162.22 KiB | Viewed 492 times ]

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 Post subject: Re: Patterns
PostPosted: Wed Jul 02, 2014 3:53 am 
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The threfold mezon on the mosaic cube looks cool :mrgreen: It is also possible to have the mezons all rotate "the same way". Or only on 3 of the 6 faces ...

Per :)

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 Post subject: Re: Patterns
PostPosted: Wed Jul 02, 2014 5:55 am 
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@ Walter:

Here is my 6X version of Double Python:

6X: Double Python (46 btm).

Step1: CR2DL2F-WUFWUWR2WU-F-WUFR2U- ("edges" with dots) (3x3x3=1-4-1)
Step2: VU-R2VU2F2VU-(VLWU2VL-VR-WU2VRN3R-M2U2N3RN3LM2U2N3L-)VUF2VU2R2VU (4 4x4 sized rings)
Step3: TUTR2TF-M2U-TFM2UM2R2M2U-TF-M2U-TFTL2 D-CR2 (inverse of step 1 but with 2-2-2 layering)

This was cool to do, same approach for odd sized cubes will not work because there is no easy equivalent to
VU-R2VU2F2VU- ("block center swap")

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Wed Jul 02, 2014 5:07 pm 
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@ Per
Wow, that's a very clever solution! 8-)
I very much like Step 2 where you found an incredibly efficient algorithm to build 4 Rings!

Here is a slightly optimized approach:

6x: Double Python
VU' R2 VU2 F2 VD' WF WD WF' VU F2 VU2 R2 T3U
L2 B' WD B SR2 F' WD' F R2 NU
TR2 TF' M2D TF S2R2 TB' M2D' TB TL2 T3U'
TR2 MU2 TF2 MU' M2F M2D' M2F' MD TF2 MU2 TR2 MU (45 btm) -1 move


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 Post subject: Re: Patterns
PostPosted: Thu Jul 03, 2014 2:59 pm 
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For this 5x5x5 version I used the same approach as above.
The algorithm for the 6 Rings (part 1, 2 and 3) can certainly be done much more efficiently. :wink:

5x: Double Python
WF2 WD NL' B2 · NR NL · B2 NR' WF2 WD'
NL' B2 · NR NL · B2 TR'
MD' · F MF · WD' MF' SD' MF WD MF' SD · F' MF2 · MD MF2 R
U L2 B' WD B SR2 F' WD' F R2 NU
TR2 TF' MD TF S2R2 TB' MD' TB TL2 TU' (52 btm) -2 moves


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 Post subject: Re: Patterns
PostPosted: Fri Jul 04, 2014 2:35 pm 
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Here is my best effort so far:

5X: Double Python (-2) (50 btm).

I achieved this using insertion :wink:

Per :)

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 Post subject: Re: Patterns
PostPosted: Mon Jul 21, 2014 3:27 pm 
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These are two new contributions
… I am pretty sure they can be further improved: :wink:

7x: 2 Stripe Cubes
D' F2 U L2 U' R2 U SR B' R' SF' L2 F2 U R2 F2
D WR N3F' N3B WR' N3F N3B' D'
R B' U R' N3F2 N3B2 R U' B R' U N3F2 N3B2
B2 U' N3F N3B' U B U' N3F' N3B U B
F2 D N3F N3B' D' F' D N3F' N3B D' F' (59 btm)


The second one is a rather unusual snake pattern.
On its way around the cube it comes along each face twice.
Almost like a Boa constrictor that tightly wraps around a cube:

7x: Boa constrictor
CF' CD' WR V3F (N3D NB' ND N3B' VD') (VF' N3U' NF NU' N3F VU) (MD N3F' N3B MD' N3F N3B') (M3U' MF' M3U MF) WF' WR'
T3L T3R2 T3U' T3F2 T3R T3U MR' MF T3D' T3F' T3R2 T3D T3F2 T3B' (39 btm)


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