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 Post subject: Re: Patterns
PostPosted: Mon Sep 06, 2010 2:18 pm 
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SEBUVER wrote:
If the first one requires jumbling, I'm pretty sure the second one does to, as it's the same moves applied to another side.


Setting up the first pattern was painful enougn. I'm not gonna attempt to simulate 2 turns. Most likely jumbling is needed, but i want to see evidence :roll:

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 Post subject: Re: Patterns
PostPosted: Mon Sep 06, 2010 10:33 pm 
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Of course jumbling moves are necessary. In both pictures you can clearly see two blue center pieces lying on the same orbit.

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 Post subject: Re: Patterns
PostPosted: Tue Sep 07, 2010 3:07 am 
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leonid wrote:
Of course jumbling moves are necessary. In both pictures you can clearly see two blue center pieces lying on the same orbit.


Yes i'm blind. How many jumbling sequences did you actually do?

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 Post subject: Re: Patterns
PostPosted: Wed Sep 08, 2010 12:50 am 
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perfredlund wrote:
How many jumbling sequences did you actually do?

I can't remember exactly but I did a lot of jumbling sequences. It was not an easy pattern to make.

Theoretically speaking, you need to change orbits of 12 center pieces to do one 2x2 turn, if all center pieces have different colors.

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 Post subject: Re: Patterns
PostPosted: Wed Sep 08, 2010 2:24 am 
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I'm almost considering buying a helicopter cube just to be able to make a 2x2x2 turn pattern :lol: But I'm wondering: how would you define what an orbit is on it? I have little experience with it and have only solved the non-jumbling version up on Gelatin Brain's.


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 Post subject: Re: Patterns
PostPosted: Wed Sep 08, 2010 7:54 am 
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Katten wrote:
I like the looks of the superflip performed on the 7x7x7:
Attachment:
CIMG1006.JPG

Also, I like my pumpkin pattern quite a lot:
Attachment:
DSC00213.JPG

Though it doesn't show, the same pattern is applied to every face. Really simple to do, but the outcome can be fun :D


Do you have a non-checkered version of the 7x7 superflip??

Per

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 Post subject: Re: Patterns
PostPosted: Wed Sep 08, 2010 8:36 am 
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perfredlund wrote:
Do you have a non-checkered version of the 7x7 superflip??
I'm not sure I completely understand the question.

Also, I see you're Norwegian. I always found it quite strange communicating with other Norwegians in English :lol:


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 Post subject: Re: Patterns
PostPosted: Wed Sep 08, 2010 9:00 am 
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Katten wrote:
perfredlund wrote:
Do you have a non-checkered version of the 7x7 superflip??
I'm not sure I completely understand the question.

Also, I see you're Norwegian. I always found it quite strange communicating with other Norwegians in English :lol:


Ah akkurat ja, du er jo norsk jo!! Snu de "trekantete" kantblokkene i sin helhet, ikke i rutemønster som du viste her. Er det fremdeles uklart vil jeg lage et diagram/figur senere.

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 Post subject: Re: Patterns
PostPosted: Wed Sep 08, 2010 9:15 am 
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Åja, jeg tror jeg forstår. Men jeg trodde da ikke at dette va et spesielt superflip-mønster? Algoritmen er følgende:

[M U'] x4
Y Z'
[M U'] x4
Y Z'
[M U'] x4
Y Z'

Og - dette trenger du å gjør for hvert lag. Først lag nr 1, 2 og 3. Veldig lett og gir et kult mønster :D


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 Post subject: Patterns
PostPosted: Fri Dec 17, 2010 3:56 pm 
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 Post subject: Re: Patterns
PostPosted: Fri Dec 17, 2010 4:43 pm 
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 Post subject: Re: Patterns
PostPosted: Fri Dec 17, 2010 6:25 pm 
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Hi all,

I posted this a moth ago, but if fits better in thsi thread.
I finally finished creating a snake pattern on my teraminx. At DCD 2010 I had a chat with Jaap Scherphuis who suggested a route with 3-fold symmetry visiting all 12 faces. The route alternates between traversing a face to the adjacent edge and to the other side of the face. Since I wanted to have the snake passing an edge off-centre, going to the left and right became different, but the 3-fold symmetry was preserved. So there are four different face-patterns, each occuring three times of course.

Enjoy the video
(and my gigasnake and the overlapping snake)

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 Post subject: Re: Patterns
PostPosted: Fri Dec 17, 2010 9:53 pm 
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leonid wrote:
I made 2x2-turn on a helicopter cube :lol:


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Made another turn.


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cool! now do a skewb turn

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 Post subject: Patterns
PostPosted: Sun Dec 19, 2010 10:48 am 
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Pattern on Hexagon Prizm:

Image

The strips on lateral sides of a prism can be rearranged with each other in any sequence!

And it is patterns on Octahedron 4х4х4. With a kind they easy, but to solve logically them it is very difficult. :D

Two eyes:

Image

Turn of the centre on 90 degrees:

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 Post subject: Re: Patterns
PostPosted: Sun Dec 19, 2010 11:15 am 
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rubikcollector123 wrote:
cool! now do a skewb turn

If I remember correctly, this was discussed in the helicopter skewb thread by TomZ, and was decided that a single skewb turn on a helicopter cube will result in positions that normally can not be reached on the helicopter cube. In other words, that pattern is impossible.

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 Post subject: Re: Patterns
PostPosted: Sun Dec 19, 2010 4:36 pm 
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MonkeyZ wrote:
rubikcollector123 wrote:
cool! now do a skewb turn

If I remember correctly, this was discussed in the helicopter skewb thread by TomZ, and was decided that a single skewb turn on a helicopter cube will result in positions that normally can not be reached on the helicopter cube. In other words, that pattern is impossible.
Yeah a Skewb turn would increase the total twist of the corners by 1 but on the helicopter cube, total corner twist is always 0. You could do a Skewb turn where the Corner you turn around stays fixed. Similar to a Compy Skewb turn.

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 Post subject: Patterns
PostPosted: Fri Dec 24, 2010 8:02 am 
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Two eyes on a Rex Cube:

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 Post subject: Re: Patterns
PostPosted: Sat Dec 25, 2010 9:13 pm 
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Made this sitting at the dinner table talking with the family. I don't have one algorithm to do the whole thing, but from a solved state it's one a couple of 3 piece commutator away.
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 Post subject: Patterns
PostPosted: Thu Dec 30, 2010 2:47 pm 
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 Post subject: Patterns
PostPosted: Mon Jan 03, 2011 2:59 am 
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Rose:

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 Post subject: Patterns
PostPosted: Wed Jan 12, 2011 2:27 pm 
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On firm packing of a V-cube 7х7х7 is written:

Image

Has solved in a theme "No limits in layers!" on different cubes:

Image

It is heavy to whom to see the originals, same pattern in inversion:

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 Post subject: Patterns
PostPosted: Tue Jan 25, 2011 10:54 am 
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Colleagues,

Not sure whether this one have been posted before already - a kind of Helicopter Mezon:


Attachments:
hm01.jpg
hm01.jpg [ 109.18 KiB | Viewed 9523 times ]
hm02.jpg
hm02.jpg [ 108.03 KiB | Viewed 9523 times ]
hm03.jpg
hm03.jpg [ 105.17 KiB | Viewed 9523 times ]
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 Post subject: Patterns
PostPosted: Tue Jan 25, 2011 11:09 am 
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Smart pattern!


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 Post subject: Re: Patterns
PostPosted: Tue Jan 25, 2011 11:19 am 
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That helicopter pattern is awesome! How was that accomplished?


Chris


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 Post subject: Re: Patterns
PostPosted: Tue Jan 25, 2011 3:38 pm 
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It looks like you have to take off the caps over the screws but as for actually making the pattern I have no idea.

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 Post subject: Re: Patterns
PostPosted: Tue Jan 25, 2011 4:21 pm 
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mizzle576 wrote:
How was that accomplished?


If you turn Blue-Black, Yellow-Green and Red-Orange edges on the first image a little bit less than 90 degrees counterclockwise (sorry, don't know the exact value of the angle - surely you know what I mean) you'll get the cube with 3 pairs of "rotated" central pieces, one piece per face - that's the clue to shape solution!

The other issue is color: if you start with the solved cube, you'll get completely scrambled Helicopter Mezon without any possibility to solve it in this state. Well, it seemed impossible to trace all permutations for me, so I attached color stickers to each piece in Mezon state, then transformed the puzzle back into the cube state, thus obtaining the initial color scheme required.

Please let me know if the explanation is obscure or incomplete! :D


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 Post subject: Re: Patterns
PostPosted: Tue Jan 25, 2011 5:04 pm 
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Vold wrote:
mizzle576 wrote:
How was that accomplished?


If you turn Blue-Black, Yellow-Green and Red-Orange edges on the first image a little bit less than 90 degrees counterclockwise (sorry, don't know the exact value of the angle - surely you know what I mean) you'll get the cube with 3 pairs of "rotated" central pieces, one piece per face - that's the clue to shape solution!

The other issue is color: if you start with the solved cube, you'll get completely scrambled Helicopter Mezon without any possibility to solve it in this state. Well, it seemed impossible to trace all permutations for me, so I attached color stickers to each piece in Mezon state, then transformed the puzzle back into the cube state, thus obtaining the initial color scheme required.

Please let me know if the explanation is obscure or incomplete! :D


Im confused. I did the first part by rotating the three edges. Now what?

Chris


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 Post subject: Re: Patterns
PostPosted: Wed Jan 26, 2011 2:38 am 
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mizzle576 wrote:
Im confused. I did the first part by rotating the three edges. Now what?


I ment that if you take Mezon shape from the first picture and imagine these 3 edges rotations you'll see the following shape (here you see 3 rotated central pieces - one per face, and there are 3 more symmetric rotated central pieces on other 3 faces):

Attachment:
hm04.jpg
hm04.jpg [ 108.39 KiB | Viewed 9412 times ]


That is the hint to shape solution: to transform Helicopter Cube into Mezon state you just need to know how to rotate pairs of central pieces and how to move them from face to face to form the shape given above :wink:

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 Post subject: Patterns
PostPosted: Sun Mar 13, 2011 1:29 pm 
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Mezon on a Helicopter cube.

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 Post subject: Re: Patterns
PostPosted: Sun Mar 13, 2011 2:33 pm 
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HOW DID YOU DO THAT.

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 Post subject: Patterns
PostPosted: Sun Mar 13, 2011 2:45 pm 
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I do it with the help of logic and simple algorithms. :D
And there is some imagination...

Simple mezon.

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6 points.

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 Post subject: Re: Patterns
PostPosted: Sun Mar 13, 2011 3:16 pm 
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Vold wrote:
Not sure whether this one have been posted before already - a kind of Helicopter Mezon:
I could replicate the pattern, but only by disassembly+assembly. I believe that this is an illegal pattern, i.e. impossible to get to from the solved without cheating.
Attachment:
Nice Helicopter pattern - view 1.jpg
Nice Helicopter pattern - view 1.jpg [ 50.93 KiB | Viewed 9240 times ]

Attachment:
Nice Helicopter pattern - view 2.jpg
Nice Helicopter pattern - view 2.jpg [ 45.71 KiB | Viewed 9240 times ]

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 Post subject: Re: Patterns
PostPosted: Mon Mar 14, 2011 10:17 am 
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Oskar wrote:
I could replicate the pattern, but only by disassembly+assembly. I believe that this is an illegal pattern, i.e. impossible to get to from the solved without cheating.


Oskar, please try the following algorithm:

First, you need to create proper color pattern on the cube - see the picture:

Attachment:
ColorScheme.jpg
ColorScheme.jpg [ 117.36 KiB | Viewed 9201 times ]


Second, you need to create Mezon shape. Here I'm using the following notation:

- letters help you to distinguish edges: LF is the edge between Left and Forward faces, UB is the edge between Upper and Backward faces and so on;

- numbers are angles of the turn in degrees from the current position of the edge;

- signs "+" and "-" set the direction of the turn when you are looking at the edge from the outside: "+" means clockwise, "-" means counterclockwise; obviously, 180 degrees turns don't need any direction sign.

The sequence:

UR72+ UF180 LF108+ DF72+ LF72+ DF108+ UR108+ RF180 UR72+

We've got one pair of central pieces rotated now and we assume that it occupies the desired position on the cube already.

UF72- LF180 UF180 LF108+

We've got two more pairs rotated. Now we need to move them to their positions:

LF72+ LD180 LF180 LD108-
LB72- LD180 LB180 LD108+
LB72+ DB180 LB180 DB108-

The second pair have reached its position. We had to move it through 3 edges instead of 2 edges to set the orientation required (otherwise we'd get wrong orientation).

LF72+ UF180 LF180 UF108-

The third pair reached its position. We are ready to create Helicopter Mezon now:

UF72- LD72- RB72-

That's all! Hope I managed not to make a mistake! :D

The solution is not optimal - it's just the one I managed to find and the one I managed to remember, so some rotations have 108 degrees angles instead of shorter 72 degrees - just to keep the direction of rotation constant, which is much easier to remember.

Good luck!


Vladimir

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 Post subject: Patterns
PostPosted: Mon Mar 14, 2011 2:50 pm 
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Vladimir

Very beautiful method of the decision!!! You fine understand this puzzle. At me it has turned out to solve 3 pairs ledges, is similar to it: http://konischev2009.narod.ru/hc_cube1.jpg
But I could not cease these ledges by places.
I am simply admired! It is really grandiose!


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 Post subject: Patterns
PostPosted: Fri Mar 18, 2011 3:16 pm 
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 Post subject: Patterns
PostPosted: Sun Mar 20, 2011 12:49 pm 
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 Post subject: Patterns
PostPosted: Thu Mar 31, 2011 10:04 am 
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"4 dots" on a Gear Cube Extreme:

Image

"П=3.1415926" on a cube 7х7х7:

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 Post subject: Patterns
PostPosted: Fri Apr 01, 2011 1:07 pm 
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"6 crosses" on a Crazy 3х3х3 plus cube (Mars).

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 Post subject: Trignis Vulcano Citrus Wedges
PostPosted: Mon Apr 04, 2011 1:06 am 
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Here's another Triginis/Vulcano pretty pattern. It was so striking when I created it, that I haven't disturbed it in months:
Attachment:
Trignis Vulcano Citrus Wedges Face.JPG
Trignis Vulcano Citrus Wedges Face.JPG [ 116.37 KiB | Viewed 8965 times ]
Attachment:
Trignis Vulcano Citrus Wedges Edge.JPG
Trignis Vulcano Citrus Wedges Edge.JPG [ 114.56 KiB | Viewed 8965 times ]
Attachment:
Trignis Vulcano Citrus Wedges Corner.jpg
Trignis Vulcano Citrus Wedges Corner.jpg [ 114.61 KiB | Viewed 8965 times ]
For quite a while now, one of my favorite patterns on the Pyraminx is the superflip + supertwirl. What I mean is you rotate all four of the corners (not the tips) either clockwise or counterclockwise, with all six edges flipped. I don't have my Pyraminx with me right now, but here's what I'm basically reffering to:
http://cubepatterns.blogspot.com/2007/04/pyraminx-triquetra.html
It creates a pattern which each face looks like three citrus wedges packed together. For my Trignis/Vulcano Wedges pattern, I started with a Pyraminx superflip, followed by a clockwise supertwirl. This is the basic Pyraminx algorithm. I then rotated all four faces countercloskwise. Finally, I did a counterclockwise supertwirl, completing the pattern. :mrgreen: :solved:

EDIT: After applying a counterclockwise rotation on all four faces of the above pattern, I get the following new design. It really makes the citrus wedges pop out in 3D. I can't decide which version I like better. :P
Attachment:
Trignis Vulcano Citrus Wedges v2 Edge.JPG
Trignis Vulcano Citrus Wedges v2 Edge.JPG [ 105.49 KiB | Viewed 8942 times ]
Attachment:
Trignis Vulcano Citrus Wedges v2 Face.JPG
Trignis Vulcano Citrus Wedges v2 Face.JPG [ 115.98 KiB | Viewed 8942 times ]

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Last edited by stardust4ever on Mon Apr 04, 2011 2:25 am, edited 2 times in total.

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 Post subject: Re: Patterns
PostPosted: Mon Apr 04, 2011 1:48 am 
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cube-in-cube-in-cube-in-cube-in-cube-in-cube on my v6 :lol:

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 Post subject: Patterns
PostPosted: Mon Apr 04, 2011 12:10 pm 
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Pattern of my friend: mezon-in-cube-mezon-in-cube-mezon-in-cube :D

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 Post subject: Re: Patterns
PostPosted: Mon Apr 04, 2011 1:43 pm 
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pytlivyj_1 wrote:
Pattern of my friend: mezon-in-cube-mezon-in-cube-mezon-in-cube :D

Image


Awesome! Would you mind if I use this picture for my avatar?

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 Post subject: Re: Patterns
PostPosted: Tue Apr 05, 2011 9:27 am 
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Vold wrote:
Oskar wrote:
I could replicate the pattern, but only by disassembly+assembly. I believe that this is an illegal pattern, i.e. impossible to get to from the solved without cheating.


Oskar, please try the following algorithm:

First, you need to create proper color pattern on the cube - see the picture:


Let me start by saying this is one of the coolest patterns I've seen and I had no idea a helicopter could get into this state:

Attachment:
hm01.jpg
hm01.jpg [ 34.03 KiB | Viewed 8834 times ]


I haven't had a chance try the algorithm posted by Vladimir but was curious if anyone wanted to make a video showing a helicopter cube going from the solved state to this state? I'd love to see one.

Carl

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 Post subject: Re: Patterns
PostPosted: Tue Apr 05, 2011 7:22 pm 
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I checker boardeded my gigaminx.

Sry had trouble up loading

http://www.flickr.com/photos/61458064@N04/5593259585/

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 Post subject: Re: Patterns
PostPosted: Tue Apr 05, 2011 8:13 pm 
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wwwmwww wrote:
Vold wrote:
Oskar wrote:
I could replicate the pattern, but only by disassembly+assembly. I believe that this is an illegal pattern, i.e. impossible to get to from the solved without cheating.


Oskar, please try the following algorithm:

First, you need to create proper color pattern on the cube - see the picture:


Let me start by saying this is one of the coolest patterns I've seen and I had no idea a helicopter could get into this state:

Attachment:
hm01.jpg


I haven't had a chance try the algorithm posted by Vladimir but was curious if anyone wanted to make a video showing a helicopter cube going from the solved state to this state? I'd love to see one.

Carl
I discovered this pattern a long time ago. There is a routine that you can do that causes two little inner triangle points to poke out from an edge. You do this effect three times on three edges going around the cube. Now just rotate each of the three remaining non-jumbled edges by 71 degrees. It took me forever to achieve this position, and when I finally did, the colors were all scrambled up. I believe the most jumbled state that can possibly exist on the helicopter cube, with 75% of the colored pieces in a jumbled state. And I left it in this position when I decided to tile the helicopter cube with Cubesmith tiles. Unfortunately, I never took a photo of it. I regret it now because somebody else beat me to it. As for solving, I never mixed up the white one since because I felt I would never get the pattern back :roll:

The only two parities with respect to the Helicopter Cube that needs to be obeyed are corner rotation, and also when in the jumbled state, an even number of pieces must be jumbled. Since it is possible to swap two corners with jumbling (it is also possible to get this parity without jumbling if you solve the puzzle in the wrong orientation), you don't have to worry. Both corners appear to be rotated 180 degrees, although it is really the entire cube body that is rotated, not the corners. 180+180=360. This is also a position with a twofold inverse symmetry (i.e. this pattern is also it's own inverse), which proves the corner twirl parity is correct.

As far as a video, I recommend that somebody who is skilled at solving a jumbled Helicopter reassemble his/her puzzle in this position and just solve it. Simply reverse the order of the video frames and upload to youtube. Reversed order or not, that will prove beyond a shadow of doubt that this position is valid. :solved:

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 Post subject: Re: Patterns
PostPosted: Tue Apr 05, 2011 9:10 pm 
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I sat down and followed the algorithm posted for the Helicopter Mezon, and it worked. It is an absolutely beautiful pattern, and I'm trying to get it back to a cubic state to no avail! Very nice!

Chris

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 Post subject: Patterns
PostPosted: Fri Apr 08, 2011 12:21 pm 
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Pattern "12 edges" on Crazy 3х3х3 plus cube (Mars).
Such pattern to solve from the completely assembled cube three times it is easier, than from the hashed condition. But too not a simple task.

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 Post subject: Patterns
PostPosted: Fri Apr 08, 2011 12:27 pm 
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Joined: Tue Mar 24, 2009 12:52 pm
c1829 wrote:
Awesome! Would you mind if I use this picture for my avatar?

I do not mind.


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 Post subject: Patterns
PostPosted: Sat Apr 09, 2011 6:21 am 
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Large mezon on Crazy 3х3х3 plus cube (Mars):

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And 6 dots:

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 Post subject: Patterns
PostPosted: Sat Apr 09, 2011 1:41 pm 
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Pattern "6 dots on chess boards":

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Image

More difficultly it from Crazy 3х3х3 plus cube (Mars) to not make any more. :D


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