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 Post subject: QuadStar PuzzlePosted: Wed Aug 01, 2012 2:17 pm

Joined: Wed Dec 10, 2008 6:26 pm
Location: Boston area
Hi Everyone,

Attachment:

QuadStar.JPG [ 202.19 KiB | Viewed 1620 times ]
The QuadStar puzzle is based on the geometry of the snub disphenoid. The four five-sided vertices of the snub dishenoid have been elongated to produce true five-way symmetry. These four vertices of the new shape have been made into the rotational axes of the puzzle. QuadStar is a jumbling, but non-shape-shifting puzzle, in a similar manner to my Fracture-10 and Fracture-6 puzzles. Each axis can turn in increments of 72 degrees, but sometimes axes become blocked if edge pieces are flipped in the wrong direction. Unlike Fracture-10 and Fracture-6, useful moves can still be made even if another axis is blocked. The shape of QuadStar happens to be the dual of another puzzle. Anyone know what puzzle that is?

Here is the video of QuadStar.

Here are a few more pictures of QuadStar:
Attachment:

QuadStar Mid-Turn.JPG [ 206.5 KiB | Viewed 1620 times ]
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Four-way Vertex.JPG [ 204.31 KiB | Viewed 1620 times ]
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QuadStar Red-Blue.JPG [ 204.2 KiB | Viewed 1620 times ]
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One Turn.JPG [ 201.24 KiB | Viewed 1620 times ]
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Two Turns.JPG [ 202.92 KiB | Viewed 1620 times ]
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Three Turns.JPG [ 192.77 KiB | Viewed 1620 times ]
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Four Turns.JPG [ 203.58 KiB | Viewed 1620 times ]

Enjoy!
Dave

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 Post subject: Re: QuadStar PuzzlePosted: Wed Aug 01, 2012 2:48 pm

Joined: Wed Dec 14, 2011 12:25 pm
Location: Finland
Beautiful and simplistic, just as I've come to expect from you! <3

However, I'm somewhat reluctant to believe that the puzzle jumbles. Wouldn't these cut lines be enough?
Attachment:

quadstarunbandaged.png [ 217.9 KiB | Viewed 1543 times ]

I'm pretty sure the dual of this is Oskar's PentaJumble.

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 Post subject: Re: QuadStar PuzzlePosted: Wed Aug 01, 2012 5:29 pm

Joined: Sun May 29, 2011 2:56 pm
Location: New York
Love it!

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 Post subject: Re: QuadStar PuzzlePosted: Wed Aug 01, 2012 7:50 pm

Joined: Sat Mar 06, 2010 8:20 pm
Would it be possible to assemble in such a way to eliminate the jumbling/bandaging? i.e. without the reversed sections

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2x2 PB: 2.36
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Tony Fisher wrote:
MaCheezm0 wrote:
2nd layer using Fisher parts

I very much hope you mean Fisher Cube parts.

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 Post subject: Re: QuadStar PuzzlePosted: Thu Aug 02, 2012 9:37 am

Joined: Wed Dec 10, 2008 6:26 pm
Location: Boston area
Coaster1235 wrote:
I'm somewhat reluctant to believe that the puzzle jumbles. Wouldn't these cut lines be enough?
You could unbandage the puzzle further using something close to the cut lines you've drwn, but you could not unbandage it completely without fudging. Here's an image of one face with the cut lines you've drawn:
Attachment:

Quadstar Partial Unbandaging.JPG [ 51.98 KiB | Viewed 1333 times ]
Note that the small lines slicing the face center do not quite line up, and the center is not a true octagon. In order to make this face center work, it would need to be made into a circle, and the tiny pieces around it left out. The eight smaller triangular pieces adjacent to the center would also need to be fudged to match the two on the left and right.
Coaster1235 wrote:
I'm pretty sure the dual of this is Oskar's PentaJumble.
Correct!
c1829 wrote:
Would it be possible to assemble in such a way to eliminate the jumbling/bandaging? i.e. without the reversed sections
If you reverse two of the edges you can get two complete stars, and two stars with two arms reversed. The puzzle cannot be assembled to make four complete stars at the same time.

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 Post subject: Re: QuadStar PuzzlePosted: Thu Aug 02, 2012 1:40 pm

Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
I am very lucky that you write your own descriptions.
If I had to write descriptions for this one I would ... have difficulties.

Very nice.

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