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 Post subject: Help me solve the pyraminx crystal.Posted: Wed Oct 13, 2010 8:45 am

Joined: Sun Dec 27, 2009 3:44 pm
Hey guys,
i started to solve the pyraminx crystal i met the "flip" problem.
i need 1 algoritem to change this edge with this edge without a "flip".

Thanks!

Geender

 Attachments: pyraminx crystal.JPG [ 11.36 KiB | Viewed 1926 times ]
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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Wed Oct 13, 2010 9:21 am

Joined: Thu Sep 17, 2009 6:07 am
Location: Germany, Bavaria
Your picture looks a bit blurred, but from what I can recognize there are several edges still not at the right location and correctly oriented, right? Why do you not place other edges first? If you insist, doing the one you have indicated first, whithout flipping, just flip it twice: bring it to the right flipped and do that again.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Wed Oct 13, 2010 9:32 am

Joined: Tue Feb 16, 2010 12:15 pm
Location: Sandnes, Norway
I have to agree with konsassen. I wouldn't worry about getting a "bad case" until I had solved all edges so that there's only unsolved edges on one single face. I actually don't know any specific commutators for fixing difficult cases on the Pyraminx Crystal, as I've found that most of them can be fixed rather easily by repeating a simple 3-cycle of the edges.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Wed Oct 13, 2010 10:07 am

Joined: Sun Dec 27, 2009 3:44 pm
its in my 3 layer...

how am i flipp it!?

Geender

 Attachments: pyraminx crystal.JPG [ 8.71 KiB | Viewed 1905 times ]
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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Wed Oct 13, 2010 10:35 am

Joined: Thu Sep 17, 2009 6:07 am
Location: Germany, Bavaria
Here is an example for a simple 3 cycle, Katten has mentioned:

If you are having more problems with the edges you may look up Jaap's solution here

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 Post subject: Help me solve the pyraminx crystal.Posted: Wed Oct 13, 2010 10:50 am

Joined: Tue Mar 24, 2009 12:52 pm
Geender wrote:
Hey guys,
i started to solve the pyraminx crystal i met the "flip" problem.
i need 1 algoritem to change this edge with this edge without a "flip".

Thanks!

Geender

Violet - F, orange - R, dark green - L, red - D.

Rotate so: (D2 R D' R' D) (L R' L' R) (D' R D R' D'')

The explanatories to algorithm of a 3-cycle:
1. Intermediate rotations: (D2 R D' R' D);
2. The basic rotations: (L R' L' R);
3. Intermediate rotations in the return order: (D' R D R' D'').

Good luck!

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Wed Oct 13, 2010 12:54 pm

Joined: Thu Sep 17, 2009 6:07 am
Location: Germany, Bavaria
Setup moves make your life difficult. (In this case 5 moves). I find myself often not remembering setup moves when it comes to inversing them. Try to do as many edges as possible without too many setup moves.
Good luck!

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Last edited by Konrad on Sun Nov 28, 2010 2:59 pm, edited 1 time in total.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Wed Oct 13, 2010 2:24 pm

Joined: Thu Dec 31, 2009 8:54 pm
Location: Bay Area, California
Geender wrote:
its in my 3 layer...

how am i flipp it!?

Geender
Hi Geender, it's actually impossible to flip just a single edge without also flipping another edge because of an orientation parity restriction on face-turning puzzles like the Pyraminx Crystal.

To flip two edges, there was a discussion about how to do it here. You can flip two edges on the same face across from each other in only 8 moves via [F], [C2,G'2,C2], [F'], [C'2,G2,C'2] (Gelatinbrain's notation).

I haven't proved that this is an optimal sequence but I'm almost certain that it is.

As everybody else has said, you should probably solve the edges top-down until only the 5 edges in the last layer remain before worrying about specific orientation fixing routines.

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Prior to using my real name I posted under the account named bmenrigh.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Thu Oct 14, 2010 1:29 am

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
I personally find it easier to do the corners as you go along with the edges. That way, you're not just restricted to simple 4 move algorithms, but can move around instead. And I think you say that it has a parity is like saying that there's partity on a 3x3x3 when there are 2 edges swapped.

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3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Sun Oct 17, 2010 2:28 pm

Joined: Sun Dec 27, 2009 3:44 pm
pytlivyj_1 wrote:
Geender wrote:
Hey guys,
i started to solve the pyraminx crystal i met the "flip" problem.
i need 1 algoritem to change this edge with this edge without a "flip".

Thanks!

Geender

Violet - F, orange - R, dark green - L, red - D.

Rotate so: (D2 R D' R' D) (L R' L' R) (D' R D R' D'')

The explanatories to algorithm of a 3-cycle:
1. Intermediate rotations: (D2 R D' R' D);
2. The basic rotations: (L R' L' R);
3. Intermediate rotations in the return order: (D' R D R' D'').

Good luck!

wow its really helpfull! thank you! can you give another algoritem for 2 last edeges flip?

Thanks Guys!!

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 Post subject: Help me solve the pyraminx crystal.Posted: Mon Oct 18, 2010 1:03 pm

Joined: Tue Mar 24, 2009 12:52 pm

Last two edges I develop by the same way:

1. At first I make a 3-cycle (L R' L' R) or (R' L R L') depending on a situation. Thus I use an additional third edge of the top side as intermediate.
2. Then I develop an edge which is on a place of an intermediate third edge with the help of additional rotations (5 moves).
3. I make a 3-cycle on item 1 in the return order.
4. I make additional rotations on item 2 in the return order.

With the help of algorithm (L R 'L' R) [or (R' L R L')] I solve all edges of a pyraminx crystal. Any other methods and algorithms I do not remember and I do not use.

Last edited by pytlivyj_1 on Mon Oct 18, 2010 1:11 pm, edited 1 time in total.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Mon Oct 18, 2010 1:11 pm

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
For that case there is quite a simple algorithm, which you shouldn't need to know the notation for, but anyways:

Hold one edge on the UF and the other on the UR position, and then perform R'2 D' R2 L2 D' L'2 U L2 D L'2 R'2 D R2 U'.

PS: D is the opposite site to U. I'm referring to the very bottom side of the puzzle.

_________________
3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

Buy the Curvy Copter Skewb, NovaMinx, and more here!

Last edited by Luke on Wed Oct 20, 2010 1:38 am, edited 1 time in total.

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 Post subject: Help me solve the pyraminx crystal.Posted: Mon Oct 18, 2010 1:21 pm

Joined: Tue Mar 24, 2009 12:52 pm
Hi, SEBUVER. To remember difficult algorithms it is necessary only for a high-speed method. And so these algorithms are not necessary.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Mon Oct 18, 2010 1:26 pm

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
This algorithm isn't difficult at all. In notation terms, it looks complex, but if you try it out on the puzzle, you will see how and what pieces move, it's quite easy to remember.

_________________
3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

Buy the Curvy Copter Skewb, NovaMinx, and more here!

Last edited by Luke on Wed Oct 20, 2010 1:38 am, edited 2 times in total.

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 Post subject: Help me solve the pyraminx crystal.Posted: Wed Oct 20, 2010 1:36 am

Joined: Tue Mar 24, 2009 12:52 pm
Hi, SEBUVER. Algorithm R ' 2 D ' R2 L2 D 'L' 2 U L2 D L ' 2 R ' 2 D R2 U ' actually very good. Only you should write to it the note that the bottom (D) is opposite to top (U) and does not border with L and R!!! That is not as we have got used to rotations on a megaminx. Differently this algorithm is carried out in several ways and results in impasse.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Wed Oct 20, 2010 1:39 am

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
Glad it worked out. It looks complex, but you can see how it moves the pieces and see that there's a pattern to the algorithm.

_________________
3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

Buy the Curvy Copter Skewb, NovaMinx, and more here!

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Sun Nov 28, 2010 11:30 am

Joined: Tue Aug 24, 2010 8:11 am
Location: Taipei, Taiwan
2 last edges flip

R L' R' L - U 2' - L' R L R' - U2 - L R L' R'

 Attachments: Clip2.png [ 4.65 KiB | Viewed 1620 times ]

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Last edited by Chilen on Sun Nov 28, 2010 10:22 pm, edited 1 time in total.
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 Post subject: Help me solve the pyraminx crystal.Posted: Sun Nov 28, 2010 2:17 pm

Joined: Tue Mar 24, 2009 12:52 pm
Some more examples.

Algorithm for figure 1: (R'' D' R2 L2 D' L'') U (L2 D L'' R'' D R2) U' - algorithm A1;
Algorithm for figure 2: (R'' D' R2 L2 D' L'') U2 (L2 D L'' R'' D R2) U'' - algorithm A2.

Algorithm for figure 1: (R' L R L') y'' A2;
Algorithm for figure 2: (L R' L' R) A2;
Algorithm for figure 3: (R' L R L') y'' (L R' L' R) y'' A2.

Similarly we rearrange 4 or 5 pieces of edges of last top layer in any combinations.

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 Post subject: Re: Help me solve the pyraminx crystal.Posted: Sun Nov 28, 2010 9:32 pm

Joined: Tue Aug 24, 2010 8:11 am
Location: Taipei, Taiwan
Hi, SEBUVER. Algorithm R ' 2 D ' R2 L2 D 'L' 2 U L2 D L ' 2 R ' 2 D R2 U ' is very good and easy to memorize.
How did you find it?

By the way, I found another algorithm.
R'2 D2 R2 D'2 - L2 D'2 L'2 D2

 Attachments: Clip4.png [ 4.64 KiB | Viewed 1548 times ]

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