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 Post subject: Re: Patterns
PostPosted: Mon Dec 02, 2013 6:47 am 
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A few algorithms have been improved: :)

SF L2 B2 (SR U' NL2 U SR' U' NL2 U) B2 L2 SF'
SF R2 B2 D2 (MU NR' MU' ND' MR' ND VR) D2 B2 R2 SF'
5x: 2 Triangles (26 btm) (-4 moves)

SF' U2 F2 (L' NU2 L SU' L' NU2 L SU) F2 U2 SF
F' L2 B' U2 (ND' NR' ND NR) U2 B L2 F
F' L2 F D' R2 D F' L2 F D' R2 D
5x: 2 Marked Cubes in a Cube (33 btm) (-1 move)

NF' NU' NR' NU2 NR NU' NF
NF NU NR NL ND NF' ND2 NF ND2 NB
5x: Awful Waffle (16 btm) (-1 move)


Here are some additional patterns:

This one could certainly be improved:
N3D VR2 N3D' B2 N3U WF2 N3U' B2 N3U WF2 N3U VR2 N3D T3F2 N3D' N3U' T3F2 N3U'
N3R VU2 N3R' B2 N3L WF2 N3L' B2 N3L WF2 N3L VU2 N3R T3F2 N3R' N3L' T3F2 N3L'
N3F VR2 N3F' D2 N3B WU2 N3B' D2 N3B WU2 N3B VR2 N3F T3U2 N3F' N3B' T3U2 N3B'
6x: 2 Helicopter Rings (54 btm)

VU NR2 NL2 MU' MR2 NU' ND' WR2 ND
5x: 4 2-Color Rings (f,l)(b,r) (9 btm)

VD' NB2 NF2 MU' WR2 ND NU WR2 NF2 NB2 NU'
5x: 4 2-Color Rings (f,b)(r,l) (11 btm)

R B U (NR' NL WU WR NU' ND MR' MU') U' B' R'
5x: 6 2-Color Rings (f,r,u)(b,l,d) (14 btm)

VU WR2 WU' WR2 ND'
5x: 4 3-Stripe Blocks (5 btm)

WF2 ND' WF2 NU' WR2 NU WR2 ND
5x: 8 Stripes (8 btm)


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 Post subject: Re: Patterns
PostPosted: Mon Dec 02, 2013 8:04 am 
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Big improvement:

5X: 4 Enhanced Edge Flips (39 btm).

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Tue Dec 03, 2013 5:53 am 
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Another huge improvement:

5X: 4 Enhanced Edge Flips (version 2) (36 btm).

12 turns shorter. I solved the pattern first in 5 steps, and then inversed it to get the setup version.

Solving was like so:

1, R2WFR2WF2UWF2R2WF-R2U-
2. NR-WUNRUNR-WU-NRU-
3. WF-NUWFUWF-NU-WFU-
4. UWF-NU-WFUWF-NUWFU2
5. U2VL-NUVLU2VL-NU-VL

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Tue Dec 03, 2013 6:27 am 
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Yet another improvement:

6X: 2 Helicopter Rings (48 btm).

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Tue Dec 03, 2013 7:41 am 
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And a new contribution:

5X: 6 2-color Rings (version 2) (13 btm).

Per :)

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 Post subject: Re: Patterns
PostPosted: Wed Dec 04, 2013 7:54 am 
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Minor improvement:

5X: Enhanced Edge Flips (38 btm).

Per

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 Post subject: Re: Patterns
PostPosted: Wed Dec 04, 2013 8:29 am 
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Another new contribution:

6X: Caged Helicopter Rings (67 btm).

Could be improved for sure. Glazik? 8-)

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Wed Dec 04, 2013 1:40 pm 
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Hi Per,

This is all I have got, up to now: :)

VL' NU VL U2 VL' NU' VL U2
U2 WF' NU' WF U' WF' NU WF U'
U WF' NU WF U' WF' NU' WF
NB WR' F' WR NB' WR' F WR
U R2 WF R2 WF2 U' WF2 R2 WF' R2
5x: 4 Enhanced Edge Flips (Version 2) (35 btm) (-1 move)

CD CR2 MR2 TU' TR2 TD' MF MR2 TU MR TU2 TF2 TD' MF MR2 TU' TR2 TU'
TU NF NL
B2 D2 L2 NL' NR' NB' NF' ND' NU' L2 D2 B2
L2 D2 B2 ND NU NB NF NR NL B2 D2 L2
NL' NF' TU'
5x: X-Flip (44 btm) (-7 moves) (further improved)


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 Post subject: Re: Patterns
PostPosted: Thu Dec 05, 2013 8:57 am 
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Great improvements Glazik :roll:

Now an obvious X-Flip variation (for sure needs to be bettered!)

5X: 8 X-Flips (42 btm).

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Thu Dec 05, 2013 3:52 pm 
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The algorithm has been improved by optimizing centers: :D

Centers
D' U' R2 (MR' ND MR MF2 MR ND' MR' MF2) R2 U D
D' U' F2 (MR2 MF NU' MF' MR2 MF' NU MF) F2 U D
Insertion + Edges
F2 D' U' (MR2 MF NU' MF' L2 MF2 MR NU' MR' MF2 MR' NU MR' L2 MF' NU MF) D U F2
F B U' D' R L F' B' U D R' L'
F2 D' U' MR2 MF NU' MF' L2 MF2 MR NU' MR' MF2 MR' NU MR' L2 MF' NU MF D U SF' U' D' R L F' B' U D R' L'
5x: 8 X-Flips (33 btm) (-9 moves)


A few additional patterns:

Centers
F2 D' U' (MF' NU ND MR' D2 MF' NU' ND' MF D2 MR MF) U D F2
F2 L R (MU2 MF' NR MF MU2 MF NR' MF') R' L' F2
Insertion
F2 D' U' MF' NU ND MR' D2 MF' NU' ND' MF D2 MR MF U D L R MU2 MF' NR MF MU2 MF NR' MF' R' L' F2
5x: 6 4-Color O's (30 btm)

Centers
TD' R' B' (NR2 NU NR' NU' NR2 NB' NR NB) B R TD
TD' L' F' (NL2 NU NL' NU' NL2 NF' NL NF) F L TD
F' R' NR2 NB (NR' NF' NU' NF NR NU) NB' NR2 R F
Insertion
TD' R' B' NR2 NU NR' NU' NR2 NB' NR TB SR F' NL2 NU NL' NU' NL2 NF' NL TF L TD F' R' NR2 NB NR' NF' NU' NF NR NU NB' NR2 R F
5x: 6 4-Color Sieves (37 btm)

The last pattern is re-used below:
Edges + Centers
CD CR2 MR2 TD TR2 TU MF' MR2 TD' MR' TD2 TF2 TU MF' MR2 TD TR2 TD
U
TD' R' B' NR2 NU NR' NU' NR2 NB' NR TB R TD
TD' L' F' NL2 NU NL' NU' NL2 NF' NL TF L TD
F' R' NR2 NB NR' NF' NU' NF NR NU NB' NR2 R F
U'
Insertion
CD CR2 MR2 TD TR2 TU MF' MR2 TD' MR' TD2 TF2 TU MF' MR2 TD TR2 U R' B' NR2 NU NR' NU' NR2 NB' NR TB SR F' NL2 NU NL' NU' NL2 NF' NL TF L TD F' R' NR2 NB NR' NF' NU' NF NR NU NB' NR2 R F U'
5x: 12 Flipped S's (53 btm)


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 Post subject: Re: Patterns
PostPosted: Fri Dec 06, 2013 6:14 am 
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Yet again your creativity amazes me Glazik :cry:

Let us carry on with weird flips!:

5X: 4 U-Flips (33 btm).

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Sat Dec 07, 2013 1:20 pm 
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A few moves gained by optimizing centers: :)

Centers
F' NR2 D L' (NU NB NU' NL' NB' NL) L D' NR2 F
TU NR' TU' NF2 TU NR TU' NF2
Edges
MR2 TF2 MR TF2 TU TF2 MR' TF2 MR2 TU'
Insertion
F' NR2 D L' NU NB NU' NL' NB' TL D' NR2 F
TU MR2 TF2 MR TF2 TU' (TU NR' TU' NF2 TU NR TU' NF2) TF2 MR' TF2 MR2
Final
F' NR2 D L' NU NB NU' NL' NB' TL D' NR2 F TU MR2 TF2 MR TF2 NR' TU' NF2 TU NR TU' F2 MR' TF2 MR2
5x: 4 U-Flips (28 btm) (-5 moves)

The following is unfinished work, just to get an idea of what more weird flips would look like:
F' NR2 D L' NU NB NU' NL' NB' TL D' NR2 F TU MR2 TF2 MR TF2 NR' TU' NF2 TU NR TU' F2 MR' TF2 MR2
F' NL2 U R' ND NB ND' NR' NB' TR U' NL2 F TD MR2 TF2 MR' TF2 NL' TD' NF2 TD NL TD' F2 MR TF2 MR2
F NL2 L NB' NL NF NU NF' NL' NU' NB L' NL2 F'
F2 L R MU2 MF' NR MF MU2 MF NR' MF' R' L' F2
5x: 8 U-Flips (83 btm) (unfinished)
A much shorter algorithm could certainly be found and a 12 U-flips version may also be designed. :wink:


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 Post subject: Re: Patterns
PostPosted: Tue Dec 10, 2013 6:45 am 
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Yet another flippy variation:

7X: SuperFlipRings (54 btm).

The start could certainly be improved, but includes some novel edge flipping on odd size larger cubes :wink:

For instance this one:
7X: U 4-Flip (14 btm).

Per :solved:

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"Life is what happens to you while you are busy making other plans" -John Lennon, Beautiful Boy


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 Post subject: Re: Patterns
PostPosted: Wed Dec 11, 2013 7:01 am 
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glazik wrote:

CD CR2 MR2 TU' TR2 TD' MF MR2 TU MR TU2 TF2 TD' MF MR2 TU' TR2 TU'
TU NF NL
B2 D2 L2 NL' NR' NB' NF' ND' NU' L2 D2 B2
L2 D2 B2 ND NU NB NF NR NL B2 D2 L2
NL' NF' TU'
5x: X-Flip (44 btm) (-7 moves) (further improved)


A simple variation to this one on the 7X:

7X: Super-H-Flips (45 btm).

Per

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 Post subject: Re: Patterns
PostPosted: Thu Dec 12, 2013 6:51 am 
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Yet another superflip :mrgreen:

7X: Outlined Diamond Superflip (61 btm).

I will post the filled diamond version shortly :)

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Thu Dec 12, 2013 11:40 am 
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I could not resist:

5X: U Diamond 4-Flip (34 btm).

Per :roll:

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 Post subject: Re: Patterns
PostPosted: Fri Dec 13, 2013 6:59 am 
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glazik wrote:
The following is unfinished work, just to get an idea of what more weird flips would look like:
F' NR2 D L' NU NB NU' NL' NB' TL D' NR2 F TU MR2 TF2 MR TF2 NR' TU' NF2 TU NR TU' F2 MR' TF2 MR2
F' NL2 U R' ND NB ND' NR' NB' TR U' NL2 F TD MR2 TF2 MR' TF2 NL' TD' NF2 TD NL TD' F2 MR TF2 MR2
F NL2 L NB' NL NF NU NF' NL' NU' NB L' NL2 F'
F2 L R MU2 MF' NR MF MU2 MF NR' MF' R' L' F2
5x: 8 U-Flips (83 btm) (unfinished)
A much shorter algorithm could certainly be found and a 12 U-flips version may also be designed. :wink:


A slightly LONGER version but strictly order 2 all the way :wink:

5X: 12 U-Flips (87 btm) (unfinished). Renamed for clarity!

Per :solved:

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"Life is what happens to you while you are busy making other plans" -John Lennon, Beautiful Boy


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 Post subject: Re: Patterns
PostPosted: Fri Dec 13, 2013 10:32 am 
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perfredlund wrote:
I could not resist:

5X: U Diamond 4-Flip (34 btm).

Per :roll:

A few moves can be gained by optimizing edges: :)

SR2 U NF' (L2 U2 NF NB U2 L2 U2 L2 NF' NB' L2 U2) NF U' SR2
TR2 MF TR2 MF2 TU MF2 TR2 MF' TR2 TU'
SR2 U NF' L2 U2 NF NB U2 L2 U2 L2 NF' NB' L2 U2 NF U' SR2 TR2 MF TR2 MF2 TU MF2 TR2 MF' TR2 TU'
5x: U-Diamond 4-Flip (28 btm)


The following are 2-color center patterns (3-cycles):

R2 B2 U' D' NF' NL' VB NL NR VF NR' NB' D U B2 R2
R2 D2 F B ND' NR' VU NR NL VD NL' NU' B' F' D2 R2
R2 B2 U' D' NF' NL' VB NL NR VF MR NF' NL' NR' NB' VL NF D U B2 R2
5x: Pattern 1 (u,r,f)(d,l,b) (21 btm)

R2 B2 U' D' NB NR VF' NR' NL' VB' NL NF D U B2 R2
R2 D2 F B ND' NR' VU NR NL VD NL' NU' B' F' D2 R2
R2 D2 F B ND' NR' VU NR NL WU' NL' NR' ND' VL ND NU WR NU' B' F' D2 R2
5x: Pattern 2 (u,r,f)(d,l,b) (22 btm)


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 Post subject: Re: Patterns
PostPosted: Fri Dec 13, 2013 3:45 pm 
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perfredlund wrote:
glazik wrote:
The following is unfinished work, just to get an idea of what more weird flips would look like:
F' NR2 D L' NU NB NU' NL' NB' TL D' NR2 F TU MR2 TF2 MR TF2 NR' TU' NF2 TU NR TU' F2 MR' TF2 MR2
F' NL2 U R' ND NB ND' NR' NB' TR U' NL2 F TD MR2 TF2 MR' TF2 NL' TD' NF2 TD NL TD' F2 MR TF2 MR2
F NL2 L NB' NL NF NU NF' NL' NU' NB L' NL2 F'
F2 L R MU2 MF' NR MF MU2 MF NR' MF' R' L' F2
5x: 8 U-Flips (83 btm) (unfinished)
A much shorter algorithm could certainly be found and a 12 U-flips version may also be designed. :wink:


A slightly LONGER version but strictly order 2 all the way :wink:

5X: 12 U-Flips (87 btm) (unfinished). Renamed for clarity!

Per :solved:

A major improvement but still not fully optimized, I think: :D

U NL2 B' NL NB2 NL' NR NB2 NR' B NL2 U'
U NB2 R' NB NR2 NB' NF NR2 NF' R NB2 U'
TR TL TD' TU' TB TF TR' TL' TD TU TB' TF'
F VR' NF VR F2 VR' NF' VR VL' NF VL F2 VL' NF' VL F'
B VL' NB VL B2 VL' NB' VL VR' NB VR B2 VR' NB' VR B'
5x: 8 U-Flips (64 btm) (Order 2)


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 Post subject: Re: Patterns
PostPosted: Fri Dec 13, 2013 4:10 pm 
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And finally the last one: :wink:

U NL2 B' NL NB2 NL' NR NB2 NR' B NL2 U'
U NB2 R' NB NR2 NB' NF NR2 NF' R NB2 U'
F ND2 R NU NR2 NU' ND NR2 ND' R' ND2 F'
[TF TD TR TD2 TB TU TB TL TB2 TD, MR2 MD2 MF2]
5x: 8 U-Flips + 4 S-Flips (59 btm) (Order 2)


Last edited by glazik on Sat Dec 14, 2013 3:42 pm, edited 1 time in total.

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 Post subject: Re: Patterns
PostPosted: Sat Dec 14, 2013 3:51 am 
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glazik wrote:
And finally the last one: :wink:

U NL2 B' NL NB2 NL' NR NB2 NR' B NL2 U'
U NB2 R' NB NR2 NB' NF NR2 NF' R NB2 U'
F ND2 R NU NR2 NU' ND NR2 ND' R' ND2 F'
[TF TD TR TD2 TB TU TB TL TB2 TD, MR2 MD2 MF2]
5x: 12 U-Flips (59 btm) (Order 2)


Hmm. Nice one but WRONG NAME! It has 8 U-Flips and 4 S-Flips :mrgreen:

Per

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 Post subject: Re: Patterns
PostPosted: Sat Dec 14, 2013 3:50 pm 
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perfredlund wrote:
glazik wrote:
And finally the last one: :wink:

U NL2 B' NL NB2 NL' NR NB2 NR' B NL2 U'
U NB2 R' NB NR2 NB' NF NR2 NF' R NB2 U'
F ND2 R NU NR2 NU' ND NR2 ND' R' ND2 F'
[TF TD TR TD2 TB TU TB TL TB2 TD, MR2 MD2 MF2]
5x: 8 U-Flips + 4 S-Flips (59 btm) (Order 2)


Hmm. Nice one but WRONG NAME! It has 8 U-Flips and 4 S-Flips :mrgreen:

Per



Thanks for your clarification. It's now fixed. 8-)

Yet another simple pattern:
R2 B2 U' D' (NF' NL' VB NL NR VF NR' NB') D U B2 R2
5x: 6 Shifted Double-Lines (u,r,f)(d,l,b) (16 btm)


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 Post subject: Re: Patterns
PostPosted: Mon Dec 16, 2013 8:45 am 
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glazik wrote:
A few moves can be gained by optimizing edges: :)

SR2 U NF' (L2 U2 NF NB U2 L2 U2 L2 NF' NB' L2 U2) NF U' SR2
TR2 MF TR2 MF2 TU MF2 TR2 MF' TR2 TU'
SR2 U NF' L2 U2 NF NB U2 L2 U2 L2 NF' NB' L2 U2 NF U' SR2 TR2 MF TR2 MF2 TU MF2 TR2 MF' TR2 TU'
5x: U-Diamond 4-Flip (28 btm)


A new variety:

5X: Slice Diamond 4-Flip (26 btm).

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Tue Dec 17, 2013 7:11 am 
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Yet another contribution:

6X: Slice Tight Ring-Flips (20 btm).

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Wed Dec 18, 2013 5:37 am 
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The following has been improved by insertion:
L' WF2 L' WF2 D2 WF D2 L D2 WF' D2 L
L' U2 R' MF2 MU NR' MU' MF2 MU' NR MU R U2 L
L' WF2 L' WF2 D2 WF D2 L D MR ND MR' MF2 MR' ND' MR MF2 D WF' D2 L
5x: Slice Diamond 4-Flips (21 btm)

This is an extension of the preceeding to 8-flips:
R' WF D2 B2 D2 L' R' WF' U2 F2 U2 L'
L U2 F2 R (MU NR' NL' MU MF' NL NR MF MU2) R' F2 U2 L'
R' WF D2 B2 D2 L' R' WF' U2 R MU NR' NL' MU MF' NL NR MF MU2 R' F2 U2 L'
5x: Slice Diamond 8-Flips (23 btm)

And finally a variation of the 6x ring-flips pattern showing 2 times more rings:
R2 NU' U2 M2F' NU M2F U2 NU' M2F2 NU U2 M2F NU' M2F' U2 NU M2F2 R2
T3R2 WF T3R2 VF2 T3U2 VF2 T3U2 VB2
R2 NU' U2 M2F' NU M2F U2 NU' M2F2 NU U2 M2F NU' M2F' U2 NU M2F2 VR2 WF T3R2 VF2 T3U2 VF2 T3U2 VB2
6x: Slice Tight Ring-Flips (Variation) (25 btm)


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 Post subject: Re: Patterns
PostPosted: Wed Dec 18, 2013 7:01 am 
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And this variety:

5X: 8 X-Flips (38 btm).

I guess this could be done both purer and shorter :wink:

EDIT:
Rats, a much better version was posted just before my contribution :lol:

Per :solved:

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Last edited by perfredlund on Wed Dec 18, 2013 7:23 am, edited 1 time in total.

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 Post subject: Re: Patterns
PostPosted: Wed Dec 18, 2013 7:17 am 
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glazik wrote:
And finally a variation of the 6x ring-flips pattern showing 2 times more rings:
R2 NU' U2 M2F' NU M2F U2 NU' M2F2 NU U2 M2F NU' M2F' U2 NU M2F2 R2
T3R2 WF T3R2 VF2 T3U2 VF2 T3U2 VB2
R2 NU' U2 M2F' NU M2F U2 NU' M2F2 NU U2 M2F NU' M2F' U2 NU M2F2 VR2 WF T3R2 VF2 T3U2 VF2 T3U2 VB2
6x: Slice Tight Ring-Flips (Variation) (25 btm)


Improved setup:

6X: Slice Tight Ring-Flips (Variation) (22 btm).

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Thu Dec 19, 2013 5:02 am 
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Here we go again:

5X: Diamond 6-Flips (30 btm).

Per :solved:

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 Post subject: Re: Patterns
PostPosted: Thu Dec 19, 2013 7:40 am 
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And again:

5X: Diamond 6-Flips Belt (51 btm).

Optimising this one for sure is possible ...

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Thu Dec 19, 2013 2:15 pm 
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A few moves gained by insertion:
CR' CF F2 L2 U' WR2 B2 WR' WU' B2 D
(U2 NL MU NL' MU' NU MR' NU' MR U2)
B WR' B L2 B' WR F
5x: Diamond 6-Flips (26 btm)


The following could certainly be improved (or may even already exist): :wink:

CD2 D2 WF2 L' F' U R F' D WR2 F' R' U B R' D'
D NR' TB' R' NB' MR' NB2 MR NB' R TB NR D'
D NR D B L' U MU NB MU' NB' U' NB' L' NB MU NB' MU' L NB L B' D' NR' D'
5x: Diamond 6-Flips Belt (46 btm)

WU' R2 F2 WU F WU F R2 F' WU' F
F' NL2 MU' NF2 F MU F' NF2 NL2 F MU' F' MU F
WU' R2 F2 WU F WU F R2 F' WU' NL2 MU' NF2 F MU F' NF2 NL2 F MU' F' MU F
5x: Diamond 2-Flips (23 btm)

R2 B WR' B L2 D' L2 B' WR B' R2 U'
U NF' TL' F' NL' MF' NL2 MF NL' F TL NF U'
R2 B WR' B L2 D' L2 B' WR B' R2 NF' TL' F' NL' MF' NL2 MF NL' F TL NF U'
5x: Diamond 2-Flips (Variation 1) (23 btm)

WR' F2 D2 WR F' WR F D2 F' WR' F'
F MR F' NU2 F MR' SF' MR' B' NU2 B MR B'
WR' F2 D2 WR F' WR F D2 F' WR' MR F' NU2 F MR' SF' MR' B' NU2 B MR B'
5x: Diamond 2-Flips (Variation 2) (22 btm)


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 Post subject: Re: Patterns
PostPosted: Fri Dec 20, 2013 5:15 am 
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Alternative/improved setups:

Diamond 6-Flips Belt (46 btm) (Alternative partitioning!).

5X: Diamond 2-Flip (23 btm).

5X: Diamond 2-Flip (Variation 1) (-1) (22 btm).

5X: Diamond 2-Flip (Variation 2) (-1) (21 btm).

Per :solved:

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Last edited by perfredlund on Fri Dec 20, 2013 1:52 pm, edited 2 times in total.

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 Post subject: Re: Patterns
PostPosted: Fri Dec 20, 2013 7:39 am 
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And todays last contribution:

6X: Large Waterfall 4-Flip (9 btm).

PKF :P

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 Post subject: Re: Patterns
PostPosted: Fri Dec 20, 2013 4:14 pm 
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The two following sequences have both been improved by insertion: :idea:

WR' F2 D2 WR F' WR F D2 F' WR' F'
F2 U' MF NU ND MF' U MF NU' ND' MF' F2
WR' F MU NF NB MU' F MU NF' NB' MU' D2 WR F' WR F D2 F' WR' F'
5x: Diamond 2-Flips (Variation 2) (-1) (20 btm)

CD2 CF2 D' L' B U L' F' WR2 D F' L U F' R' SF2 U2
U2 F2 L' R' NU MF' NU' VF MU NF' MU' R L F2 U2
F2 R2 NU R2 MF2 R2 NU' R2 NU2 MF2 NU2 F2
CD2 CF2 D' L' B U L' F' WR2 D F' L U F' R' B2 L' R' NU MF' NU' VF MU NF' MU' SR' NU' R2 MF2 R2 NU R2 NU2 MF2 NU2 F2 U2
5x: Diamond 6-Flips Belt (-11) (35 btm)


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 Post subject: Re: Patterns
PostPosted: Sun Dec 22, 2013 8:51 am 
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Great job as always Glazik:

Here is a nice pattern with terrible setup :oops:

6X: Outlined Large Waterfall (55 btm).

EDIT:

By solving in steps and inverting i achieved the slightly better setup:

6X: Outlined Large Waterfall (46 btm).

Per :solved:

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"Life is what happens to you while you are busy making other plans" -John Lennon, Beautiful Boy


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 Post subject: Re: Patterns
PostPosted: Mon Dec 23, 2013 6:32 am 
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Hi Per,

Here is a major improvement, mainly based on insertion of short sequences of 4 small inner/outer lines: :D

A- 2 Slices
D2 TR2 NB' NF N3R2 NB NF' T3R2 D2
T3D2 NB NF' T3D2 NB2 T3R2 NF2 T3R2 NF2
D2 TR2 NB' NF N3R2 NB NF' T3R2 VD2 NB NF' T3D2 NB2 T3R2 NF2 T3R2 NF2

B- 4 Small Inner Lines (u,l,d,r)
D2 TR TL (N3B M2R2 N3B N3R2 N3B2 N3L2) TL' TR' D2

C- H Pattern (B + A)
D2 TR TL (N3B M2R2 N3B N3R2 N3B2 N3L2) TL' TR' D2
D2 TR2 NB' NF N3R2 NB NF' T3R2 VD2 NB NF' T3D2 NB2 T3R2 NF2 T3R2 NF2
D2 TR TL N3B M2R2 N3B N3R2 N3B2 N3L2 TL' TR NB' NF N3R2 NB NF' T3R2 VD2 NB NF' T3D2 NB2 T3R2 NF2 T3R2 NF2

D- 4 Small Outer Lines (u,r,d,l)
D2 TL2 N3F2 NU2 N3F' NU2 N3F2 NL2 N3F L2 D2

E- Insertion D + C
D2 TL2 N3F2 NU2 N3F' NU2 N3F2 NL2 N3F L2 D2
D2 TR TL N3B M2R2 N3B N3R2 N3B2 N3L2 TL' TR NB' NF N3R2 NB NF' T3R2 VD2 NB NF' T3D2 NB2 T3R2 NF2 T3R2 NF2
D2 TR TL N3B N3U2 NB2 N3U' NB2 N3U2 NL2 N3U V3L2 N3B N3R2 N3B2 N3L2 S2R NB' NF N3R2 NB NF' T3R2 VD2 NB NF' T3D2 NB2 T3R2 NF2 T3R2 NF2
6x: Outlined Large Waterfall (32 btm)


Small inner and outer lines can be combined into striped dots:
D2 TR TL N3B M2R2 N3B N3R2 N3B2 N3L2 TL' TR' D2
D2 TL2 N3F2 NU2 N3F' NU2 N3F2 NL2 N3F L2 D2
D2 TR TL N3B N3U2 NB2 N3U' NB2 N3U2 NL2 N3U V3L2 N3B N3R2 N3B2 N3L2 TL' TR' D2
6x: 4 Striped Dots (19 btm)


The following sequences have not been published yet on Walter's website and may be useful to build 6x patterns using small outer lines:
6x: 2 Small Lines (f,b)
(4 btm)
N3R2 NU2 N3R2 NU2

6x: 2 Small Lines (f,u)
(8 btm)
U' NL' U M2R U' NL U M2R'

6x: 3 Small Lines (f,u,r)
(14 btm)
R2 U F2 (M2R NF R2 NF' M2R' NF R2 NF') F2 U' R2

6x: 4 Small Lines (f,b)(u,d)
(4 btm)
NU2 M2R' NU2 M2R

6x: 4 Small Lines (f,d)(b,u)
(10 btm)
F2 D2 N3L' ND2 N3L2 NB2 N3L' NB2 TD2 F2

6x: 4 Small Lines (u,r,d,l)
(11 btm)
D2 TL2 N3F2 NU2 N3F' NU2 N3F2 NL2 N3F L2 D2

6x: 6 Small Lines (f,b)(u,d)(r,l)
(15 btm)
B' L' U D2 N3R2 VU2 NF2 N3U2 N3R2 NF2 NU2 D2 U' L B

6x: 6 Small Lines (f,u)(b,d)(r,l)
(12 btm)
B2 U2 N3R N3F2 NU2 N3F2 N3R' N3L' NU2 N3L U2 B2

6x: 6 Small Lines (u,d)(f,l,b,r)
(6 btm)
NU M2R' M2F NU' M2F' M2R

6x: 6 Small Lines (u,d)(f,l,b,r)
(6 btm)
NU M2R' M2F NU' M2F' M2R

6x: 6 Small Lines (f,u,r)(b,d,l)
(12 btm)
U2 D F' L' M2U NL M2U' NL' L F D' U2


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 Post subject: Re: Patterns
PostPosted: Tue Dec 24, 2013 4:14 am 
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Hi Glazik!

I will look into these line patterns. One quick improvement:

6x: 3 Small Lines (f,u,r) (-5) (9 btm).

Per :solved: Merry Christmas everyone :mrgreen:

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 Post subject: Re: Patterns
PostPosted: Tue Dec 24, 2013 7:32 am 
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Merry Christmas to everyone!

7x: 4 Candles, Advent Wreath
N3U' R2 N3B2 N3F2 R2 N3U R2 N3B2 R2 NU R2 N3F2 R2 V4U'
MR2 T5U MR' SU2 MR TU2 MR' SU2 MR TU MR2
F2 R2 MU N3R2 MU' R2 N3R2 F2
WR2 TD WR SU2 WR' TD2 WR SU2 WR' TD WR2 (44 btm)

7x: 4 Candles, Advent Wreath (version 2)
T3L2 T3F2 S3R2 T3F2 T3R2
N3U' R2 N3B2 N3F2 R2 N3U R2 N3B2 R2 NU R2 N3F2 R2 NU'
F2 R2 MU N3R2 MU' R2 N3R2 F2
VR2 VL2 TD VR VL' SU2 VR' VL TD2 VR VL' SU2 VR' VL TD VR2 VL2 (44 btm)

7x: 4 Christmas Trees
T3F2 MR2 T3F2 T3R2 MF2 SF2 L2 NU L2 SF2 R2 ND NF2 N3U2 VD2 NF2 NR2 NU2 MD2 N3R2 N3F2 V5U2 N3F2 (23 btm)


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 Post subject: Re: Patterns
PostPosted: Tue Dec 24, 2013 8:47 am 
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Merry Christmas
Here a nice and easy Christmas Pattern for the Wheel of Wisdom.
Just do a normal Checkerboard Pattern, then twist all faces by 45° and do Another Checkerboard Pattern.


Attachments:
2013-12-24 14.26.42.jpg
2013-12-24 14.26.42.jpg [ 1.41 MiB | Viewed 1448 times ]
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 Post subject: Re: Patterns
PostPosted: Tue Dec 24, 2013 12:41 pm 
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Happy Christmas to all!

This pattern looks like a Christmas tinsel wrapped around a 5x cube:
CU2 U2 WR2 B' R' D F R' U WF2 R' F' D L F' U'
NU' L' NU ND' TB' L' D2 B2 NL' (NU MF' NU ND2 MF ND2 MR NU MR' NU) NL B2 D2 L TB ND NU' L NU
5x: Diamond 6-Flips Tinsel (42 btm)

Cheers.


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 Post subject: Re: Patterns
PostPosted: Thu Dec 26, 2013 7:28 am 
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I guess this improvement would be the final fully optimised version:

6X: Outlined Large Waterfall (-3) (29 btm).

Per :wink:

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 Post subject: Re: Patterns
PostPosted: Thu Dec 26, 2013 7:37 am 
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glazik wrote:
Happy Christmas to all!

This pattern looks like a Christmas tinsel wrapped around a 5x cube:
CU2 U2 WR2 B' R' D F R' U WF2 R' F' D L F' U'
NU' L' NU ND' TB' L' D2 B2 NL' (NU MF' NU ND2 MF ND2 MR NU MR' NU) NL B2 D2 L TB ND NU' L NU
5x: Diamond 6-Flips Tinsel (42 btm)

Cheers.


This one is just the same as the belt version you did in 35 turns only :mrgreen: Just a cube rotation away :wink:

Per :roll:

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"Life is what happens to you while you are busy making other plans" -John Lennon, Beautiful Boy


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 Post subject: Re: Patterns
PostPosted: Thu Dec 26, 2013 3:22 pm 
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Oops, I missed the similarities between the 2 patterns. :o

This is a new one:
TU NL B MR2 B' NL' NU' NL' B MR2 B' NL U'
U WF' L2 U2 WF U WF U L2 U' WF'
TU NL B MR2 B' NL' NU' NL' B MR2 B' NL WF' L2 U2 WF U WF U L2 U' WF'
5x: Diamond 2-Flips (Variation 3) (22 btm)
I think there are 4 cases of 'Diamond 2-Flips' only, up to cube symmetry. So, this should be the last one.

These are improved sequences:
R2 D2
N3F2 ND2 N3L2 N3F2 N3L2 ND2
N3B VD2 N3B' N3F' V3D2 NB NF' N3U2 VF NB'
D2 R2
T3R2 NB' NF T3R2 NF2 T3U2 NF2 T3U2 NB2
6x: Outlined Large Waterfall (-1) (28 btm)

T3L2 T3F2 S3R2 T3F2 T3R2
VU F2 N3L2 F2 NU' F2 N3R2 F2 N3U' F2 N3L2 N3R2 F2
F2 R2 MU N3R2 MU' R2 N3R2 F2
VF2 VB2 TD VF VB' SU2 VF' VB TD2 VF VB' SU2 VF' VB TD VF2 VB2
7x: 4 Candles, Advent Wreath (Version 2) (-6) (38 btm)


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 Post subject: Re: Patterns
PostPosted: Sat Dec 28, 2013 8:01 am 
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One pattern has been improved:

7X: 4 Candles, Advent Wreath (Version 2) (-4) (34 btm).

Insertion could surely improve this further :wink:

Per 8-)

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"Life is what happens to you while you are busy making other plans" -John Lennon, Beautiful Boy


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 Post subject: Re: Patterns
PostPosted: Sat Dec 28, 2013 8:05 am 
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glazik wrote:
6x: 6 Small Lines (f,u,r)(b,d,l)
(12 btm)
U2 D F' L' M2U NL M2U' NL' L F D' U2

I found an improvement for one of the Small Lines patterns:

6x: 6 Small Lines (f,u,r) (b,d,l)
D' L' F' (M2D NR M2D NR' M2D2) F L D (11 btm) -1 move


And here a new contribution for the 5x5x5 cube:

5x: Mixed up Spirals
R' U2 B' SD' R U D R B R SF D'
B' L2 B2 (U' NR2 U SR U' VR2 U SR' U' MR2 U) B2 L2 F2
U2 L2 (WD' NR' MU' MR' NU' NL ND VR VU NL' VU') L2 U2 B F (46 btm)


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 Post subject: Re: Patterns
PostPosted: Sat Dec 28, 2013 8:55 am 
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… and I just found a major improvement for this one: :mrgreen:

5x: 8 Small Whirled Rings
D B2 D2 F' (D F2)2 WR2 F' D' WF2 WR2 U F' SD'
F' (TB' L2 TB NL TB' L2 TB NL') F D
NF TU' TF TU' MR2 MF2 TD TF MR2 (TF2 TD')2 TF TD2 TB2 TD'
F2 D' U' MF' NU ND MR' D2 MF' NU' ND' MF D2 MR MF U D
L R MU2 MF' NR MF MU2 MF NR' MF' R' L' F2 (74 btm) -18 moves


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 Post subject: Re: Patterns
PostPosted: Sun Dec 29, 2013 7:15 am 
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These two sequences have been slightly shortened:

VU R2 N3F2 R2 NU' R2 N3B2 R2 N3U' R2 N3B2 N3F2 R2
R2 TF2 (N3R2 MU N3R2 MU') TF2 R2
T3R2 (T4B2 MR2 T3B2) T3R2
VR2 VL2 (TU VF2 VB2 TU2 VB2 VF2 TU) VL2 VR2
7x: 4 Candles, Advent Wreath (Version 2) (32 btm) (-2)

F D' F WR2 WU2 B' D' WR2 D2 B D2 B D' B2 U2 B
B' D' (TU' L2 TU NL TU' L2 TU NL') D B
B2 U' D' MF ND NU MR' U2 MF ND' NU' MF' U2 MR MF' D U L R MU2 MF NR MF' MU2 MF' NR' MF R' L' B2
ND TB' TU2 TB2 TD TB' TD2 TB' TD2 MR2 TD TB MU2 MR2 TF' TD TF'
5x: 8 Small Whirled Rings (72 btm) (-2)


The following sequences could certainly be improved: :wink:

MR2 F' U L' F U' MR2 U F' L B MR B2 MR2 SF' L' SF MR2 B2 MR' F' B' L F U' F
5x: 6 Midge Flips (26 btm)

MR2 F' U L' F U' MR2 U F' L B MR B2 MR2 SF' L' SF MR2 B2 MR' F' B' L F U' F
F' U2 B' L2 (WD' NR' MU' MR' NU' NL ND VR VU NL' VU') L2 B U2 F
5x: 2 3 Connected Rings (42 btm)

F' L2 D U B' (NB' MU' MF NU' NF ND NB MU MF' NU NF' ND') B U' D' L2 F
SF' U2 F2 SU' L' ND2 L SU L' ND2 L F2 U2 SF
5x: 2 3 Connected Rings (Variation 1) (34 btm)


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 Post subject: Re: Patterns
PostPosted: Sun Dec 29, 2013 3:12 pm 
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Just to report an error:

It seems that the published '5x: 8 Midge Flips' sequence is in error, because there are 4 midges at the wrong place:
8 Midge Flips (14 btm)
R2 MF R2 MF2 SR' SF SR MF2 R2 MF' R2 SR' SF' SR

Here is a correct but still unoptimized 8-flip sequence:
L R MU2 R' L' D R L MU R2 MU2 SR SU SR' MU2 R2 MU L' R' U'
5x: 8 Midge Flips (20 btm)


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 Post subject: Re: Patterns
PostPosted: Sun Dec 29, 2013 4:25 pm 
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glazik wrote:
It seems that the published '5x: 8 Midge Flips' sequence is in error, because there are 4 midges at the wrong place:
8 Midge Flips (14 btm)
R2 MF R2 MF2 SR' SF SR MF2 R2 MF' R2 SR' SF' SR

Right, something was missing! :roll:
Here is the complete algorithm:

5x: 8 Midge Flips
R2 MF R2 MF2 SR' SF SR MF2 R2 MF' R2 SR' SF' SR
ML U MF2 U2 MF2 U MR (21 btm)


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 Post subject: Re: Patterns
PostPosted: Mon Dec 30, 2013 5:48 am 
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A few additional midge flips:

MU' F' MU' F2 R2 MU F' MU F R2 F'
5x: 2 Midge Flips (Z Pattern) (11 btm)

MU F2 R2 MU' R' MU' R' F2 R MU R'
R L MU' R2 MU2 SR U' SR' MU2 R2 MU R' L' U
MU F2 R2 MU' R' MU' R' F2 R MU L MU' R2 MU2 SR U' SR' MU2 R2 MU R' L' U
5x: 6 Midge Flips (Variation 1) (23 btm)

F D' MR D F' R D' F MR' F' D R'
R L MU' R2 MU2 SR U' SR' MU2 R2 MU R' L' U
F D' MR D F' R D' F MR' F' D L MU' R2 MU2 SR U' SR' MU2 R2 MU R' L' U
5x: 6 Midge Flips (Variation 2) (24 btm)

MU2 L F' D L' F MU2 F' L D' F L'
L R MU2 R' L' D R L MU R2 MU2 SR SU SR' MU2 R2 MU L' R' U'
F D' MR D F' R D' F MR' F' D L MU' R2 MU2 SR U' SR' MU2 R2 MU R' L' U
MU2 L F' D L' F MU2 F' L D' F R MU2 R' L' D R L MU R2 MU2 SR SU SR' MU2 R2 MU L' R' U'
5x: 10 Midge Flips (30 btm)

Yet another 6-flip pattern: :D
MU2 F' L D' F L' MU2 L F' D L' F
F' R B MU' B2 MU2 SF' U' SF MU2 B2 MU F' B' U F R' F
MU2 F' L D' F L' MU2 L F' D SR B MU' B2 MU2 SF' U' SF MU2 B2 MU F' B' U F R' F
5x: 6 Midge Flips Belt (27 btm)


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 Post subject: Re: Patterns
PostPosted: Tue Dec 31, 2013 8:19 am 
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Another improvement:

5x: 4 Peaks, 6 Diagonals
S2R TD TB' TU TB TD' TF' S2D TF TU TB' TD' TB TU' S2R
TF U2 R' D SR NU2 SR' D' SR NU2 L SD2 R' ND2 SR U SR' ND2 SR U' L D2 TF' (38 btm) -8 moves

Happy New Year for everyone! :D


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