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 Post subject: Master Pyraminx 3 center cycle
PostPosted: Fri Aug 02, 2013 10:48 pm 
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Location: chicago, IL area U.S.A
Just wondering if anyone could tell me a short sequence to cycle three centers on the master pyraminx.
Thanks!

-d


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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Fri Aug 02, 2013 11:03 pm 
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Hey Darryl,

You need to fix it with Sunes on the middle and then the top layers until you get the 4cycle.
I will elaborate if you need, but that is a good hint.

Cheers,
Burgo.

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PB 3x3 55sec Jan 2011 (When I was a kid 1:30 was speedcubing so I'm stoked).
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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Fri Aug 02, 2013 11:19 pm 
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I actually just figured it out before reading your reply. I knew the best way to figure it out is to post here :)

It's not elegant, and I'm sure it's not optimal, but assuming the bottom is solved and the three sides have the centers cycled, I turned the top two layers such that the colors match the centers, then I resolved the middle-side pieces and then fixed everything else and I ended up with 4 swapped centers which I already figured out.

Thanks though!

-d


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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Fri Aug 02, 2013 11:26 pm 
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Actually Darryl,

I just picked up the puzzle and had a few twists and all you need to do is a single Sune using the corner (right corner tip + layer 1 & 2) and middle slice layer (lowest slice layer from U). The centres cycle around the right corner. That's pretty short and neat :) .

Cheers,
Burgo.

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1st 3x3 solve Oct 2010 (Even though I lived through the 80s).
PB 3x3 55sec Jan 2011 (When I was a kid 1:30 was speedcubing so I'm stoked).
1st 3x3 Earth (nemesis) solve Jan 2011 My You Tube (Now has ALLCrazy 3X3 Planets with Reduction)


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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Sun Apr 20, 2014 8:09 am 
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I made an algorithm for this, its only 8 moves long and is really easy to remember if anyone wants it.


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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Sun Apr 20, 2014 3:55 pm 
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Bobinogger wrote:
I made an algorithm for this, its only 8 moves long and is really easy to remember if anyone wants it.
Burgo's proposal in Gelatinbrain notation:
BCD, BCD&2, CBA&2, BCD'&2, BCD', CBA&2, BCD, BCD&2, CBA&2, BCD', BCD'&2, CBA&2

We can count the [BCD, BCD&2] or [BCD', BCD'&2] as single moves and we get a sequence of eight moves:
[BCD, BCD&2], CBA&2, [BCD'&2, BCD'], CBA&2, [BCD, BCD&2], CBA&2, [BCD', BCD'&2], CBA&2
Is your sequence similar to this?

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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Mon Apr 21, 2014 1:28 am 
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Konrad wrote:
We can count the [BCD, BCD&2] or [BCD', BCD'&2] as single moves and we get a sequence of eight moves:
[...]
Is your sequence similar to this?

Fewest moves tricks for the win:
[A, DCA'&2, A', BDA'&2, A, DCA'&2, A', BDA'&2]

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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Mon Apr 21, 2014 4:30 am 
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Brandon Enright wrote:
Konrad wrote:
We can count the [BCD, BCD&2] or [BCD', BCD'&2] as single moves and we get a sequence of eight moves:
[...]
Is your sequence similar to this?

Fewest moves tricks for the win:
[A, DCA'&2, A', BDA'&2, A, DCA'&2, A', BDA'&2]
You win regarding Gelatinbrain mouse clicks :)
On a real puzzle it is pretty much the same sequence. (For those who are not so familiar with Gelatinbrain's tetrahedron notation: BCD, BCD&2 is identical to A', the puzzle is just differently oriented in space afterwards)
Burgo's view on it makes it easier to memorize, in my opinion. :wink:

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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Mon Apr 21, 2014 5:50 am 
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I'm not entirely sure how to read that notation, I've made a little diagram to show how I'd show notation with the puzzle, sorry if I haven't laid it out very well:
Attachment:
z5.jpg
z5.jpg [ 44.8 KiB | Viewed 257 times ]

The colour of the arrow indicates the section.
When using this notation, the algorithm would be:
( R u' R' u' ) x2
Start the algorithm with the solved face facing you.


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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Mon Apr 21, 2014 6:58 am 
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Bobinogger wrote:
I'm not entirely sure how to read that notation, I've made a little diagram to show how I'd show notation with the puzzle, sorry if I haven't laid it out very well:
Attachment:
z5.jpg

The colour of the arrow indicates the section.
When using this notation, the algorithm would be:
( R u' R' u' ) x2
Start the algorithm with the solved face facing you.
Thanks for sharing this with us.
Your algorithm is almost identical to the sequence I have shown above in Gelatinbrain notation, interpreting Burgo's hint to Sune. (The Gelatinbrain notation uses four capital letters to denote the four faces: A, B, C, D. A vertex is denoted by the three adjacent faces. I guess it is not easy to memorize for human beings :wink: )
I think your picture makes your notation clearly understandable.

BTW, my personal notation would be [(Rr)v uv' (Rr)'v uv']x2 for your sequence.
I use capital letters for faces, lower case letters for slices and a suffix v for vertex turns.
I would look at the Pyraminx with vertex Fv pointing to me, sitting on face D and vertex Lv to my left and Rv to my right. Faces are L, R, B, D.

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 Post subject: Re: Master Pyraminx 3 center cycle
PostPosted: Tue Apr 22, 2014 1:22 am 
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Sequences of the form [A [X:A]]xN like this sequence (it's [U [R:U]]x2 after a bit of manipulation from "( R u' R' u' ) x2" above) are very powerful for twisting pieces pure. In this case, the piece that is being twisted pure is the core. The [A [X:A]]xN form can be generally applied to a great many more puzzles including the Pentultimate (for twisting a center pure).

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