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 Post subject: Double Trouble by OSKAR
PostPosted: Sun Sep 15, 2013 5:52 am 
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Hi Twisty Puzzles fans,

Double Trouble is a set of two twisty puzzles, based on an idea by Bram Cohen. The two cuboid puzzles seem to have the same behavior at start.
-The green and blue faces turn freely
-The yellow and white faces are coupled to each other
-The red and orange faces are completely blocked.

A difference arises when one turns the coupled yellow and white by a quarter turn. Then
-in version A, the red and orange faces remain blocked and the green and blue faces can still turn freely, whereas
-in version B, the green and blue faces become locked and the red and orange faces can suddenly turn freely.

Watch the YouTube video.
Buy the puzzles at my Shapeways Shop here and here.
Read more at the Shapeways Forum.
Check out the photos below.

Enjoy!

Oskar
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 Post subject: Re: Double Trouble by OSKAR
PostPosted: Sun Sep 15, 2013 7:56 am 
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For some reason I was expecting some kind of dumbbell cube where the two cubes are linked by quantum entanglement rather than by a mechanical bridge. Very disappointed to see this is not the case. Or perhaps my expectations of Oskar's genius may be a little too high? :lol:

PS. Great puzzle(s) nevertheless! :D

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 Post subject: Re: Double Trouble by OSKAR
PostPosted: Sun Sep 15, 2013 1:58 pm 
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I was totally thinking quantum entanglement as well. Still really cool though.

-d


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 Post subject: Re: Double Trouble by OSKAR
PostPosted: Tue Sep 17, 2013 3:19 am 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
For those who had a headache after Oskars video:
I had the same one month ago in Narita.

To answer Oskars question from the video:
Double Trouble A is (U, D, FB') and has 2031663513600 permutations
Double Trouble B is (U, D, Fs) and has 165150720 permutations
(numbers for the 3x3x3 without orientation of faces)

Therefore the two groups are different even if we ignore the generators.

Andreas


Last edited by Andreas Nortmann on Sun Sep 22, 2013 4:39 am, edited 2 times in total.

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 Post subject: Re: Double Trouble by OSKAR
PostPosted: Tue Sep 17, 2013 3:23 am 
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BTW, am I right in saying that the two mechanisms are mirror images of each other (reflected in a diagonal plane), while the colours are arranged the same? Or is there some other symmetry relationship between the two mechanisms?

Either way, it seems that both puzzles should be exactly equivalent in terms of solving difficulty, right?

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 Post subject: Re: Double Trouble by OSKAR
PostPosted: Tue Sep 17, 2013 3:39 am 
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Interesting cubes... Hmm.

In the video you said that this illustrates that a opposite face move + reorientation of cube is different from a slice move. However I don't think so. The only reason that it appears different for the double troubles is that the mechanism is different. That changes everything!

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 Post subject: Re: Double Trouble by OSKAR
PostPosted: Tue Sep 17, 2013 4:12 am 
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rubikcollector123 wrote:
In the video you said that this illustrates that a opposite face move + reorientation of cube is different from a slice move. However I don't think so.

I agree: if the two mechanisms are mirror images (as I proposed above), then it only *appears* that the slice move is different because the colours are *not* arranged as mirror images.

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 Post subject: Re: Double Trouble by OSKAR
PostPosted: Tue Sep 17, 2013 12:01 pm 
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Location: Missouri
KelvinS wrote:
BTW, am I right in saying that the two mechanisms are mirror images of each other (reflected in a diagonal plane), while the colours are arranged the same?
Quote:
Short answer... no.
KelvinS wrote:
Or is there some other symmetry relationship between the two mechanisms?
Also no. You could view one puzzle as having 2 opposite face turns and the other as having an operation which also turns two opposite faces and mirors the mechanism along the diagonal plane. This would basically involve unglueing face centers and glueing others. But Oskar talks about the mechanism in his video.
KelvinS wrote:
Either way, it seems that both puzzles should be exactly equivalent in terms of solving difficulty, right?
No. See Andreas' post just above yours.

Carl

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