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 Post subject: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 3:21 am 
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Hi Twisty Puzzles fans,

Jumble Diamond is a jumbling twisty puzzle with an unusual (edit) NOT self-dual geometry. Can you tell what it is?

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

Enjoy!

Oskar
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Last edited by Oskar on Sat Apr 27, 2013 1:38 pm, edited 6 times in total.

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 3:37 am 
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The curvy cuts are to allow for the thin corners right? Great puzzle as always!

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 3:45 am 
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rubikcollector123 wrote:
The curvy cuts are to allow for the thin corners right?
Thin corner (singular). That single thin corner is what requires all those curvy cuts. Oskar

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 4:13 am 
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Oskar wrote:
Can you tell what it is?
At first I thought you asked for the axis system.
I didn't found a name for this either but if everything else fails I would name it "truncated tetragonal trapezohedron"
Can you post an image showing the bottom (blue face) in solved state?


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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 4:37 am 
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Andreas Nortmann wrote:
Can you post an image showing the bottom (blue face) in solved state?
Added. Oskar

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 6:54 am 
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Oskar,

Is it possible to make Corner Turning version? See my picture.


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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 7:07 am 
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Well I guess good minds think alike. Yours is the (much) more brilliant, though.



I'd attempted this geometry sometime before (perhaps a year ago) but the prototype had two problems. I had made a mistake and the core and mechanism had slightly different axis angles. The puzzle moves but binds up after a few turns. The ball core ensured that I couldn't simply re-print a few pieces; all of them are messed up.





The biggest problem by far though, was that it simply doesn't scramble very well! The four-fold geometry at the top can never be scrambled past two moves because there are no turns that will line up. Do the stored cuts fix that?

(I claim no rights to the design, as I never presented it nor pursued making it again). I'm very glad to see that the concept actually does work. :)

Great, great puzzle.

Chandler

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 7:08 am 
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Can you make one out of real diamond? :P

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 11:21 am 
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Awesome! I think the geometry in these kind's of puzzles is really cool. Are you sure its self-dual geometry though? I count 13 corners and 9 faces. I knew this puzzle would be coming out soon since I was creeping on your shapeways shop recently. :roll:

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 11:41 am 
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Another great puzzle Oskar, you must dream about axes, cuts, jumbling ...
cubedude76 wrote:
Are you sure its self-dual geometry though? I count 13 corners and 9 faces.
Maybe Oskar is talking about the underlying geometry of the puzzle, not its outer shape?

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 1:35 pm 
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cubedude76 wrote:
Are you sure its self-dual geometry though? I count 13 corners and 9 faces.
I stand corrected ...

Oskar

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sat Apr 27, 2013 8:54 pm 
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Diminished Tetragonal Trapezohedron (Wow Oskar, that took some work!)


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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sun Apr 28, 2013 3:17 am 
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Arkanoid0 wrote:
Searching the internet for "Diminished Tetragonal Trapezohedron", I find only this page. So you coined that name? What does it mean? Note that this shape is NOT a truncated Tetragonal Trapezohedron, as its geometry is different.

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sun Apr 28, 2013 10:49 pm 
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Oskar wrote:
Arkanoid0 wrote:
Searching the internet for "Diminished Tetragonal Trapezohedron", I find only this page. So you coined that name? What does it mean? Note that this shape is NOT a truncated Tetragonal Trapezohedron, as its geometry is different.


"Diminished" is from the naming scheme for Johnson solids, defined as A pyramid or cupola has been removed from the solid.


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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Sun Apr 28, 2013 11:50 pm 
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Oskar, I really think this is wonderful.

Can you please share your inspiration for this geometry? I have been looking at it over the last few days and that has been my overriding question. What was the path to this?

Also, I'm finding it deeply satisfying that even something as unique as this was attempted twice around the same time. The inevitability of improbable things. Quirkycubes, can you also share your path to this?

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Mon Apr 29, 2013 12:57 pm 
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JasonSmith wrote:
Quirkycubes, can you also share your path to this?

About some time when I was researching Johnson solids and near misses I came across an interesting page:
http://www.orchidpalms.com/polyhedra/acrohedra/acrohedra.html

I was trying to solve some acron groups using magformers and found a few polyhedra that could be potentially be useful for puzzles. I really liked the regularity of one 5-5-4 acron (essentially this one minus the concave geometry on the top, squares extended to rhombuses), so I used it in what is now called the Jumble Diamond.

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Mon Apr 29, 2013 1:17 pm 
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Arkanoid0 wrote:
"Diminished" is from the naming scheme for Johnson solids, defined as A pyramid or cupola has been removed from the solid.
If you look closely at the Jumble Diamond, you see that it lacks the upside-down symmetry of a Tetragonal Trapezohedron. One angle is 90 degrees, whereas the upside-down equivalent angle is 104.7 degrees.
JasonSmith wrote:
Can you please share your inspiration for this geometry? Also, I'm finding it deeply satisfying that even something as unique as this was attempted twice around the same time.
Typically, time becomes ready for a puzzle. A few years ago, several people asked me to design a puzzle with icosahedral rotation geometry, which I erroneously dismissed as being trivial. If I had not dismissed the suggestion, then my version could have arrived a few weeks after Bob Hearn's and yours. As for Jumble Diamond, I was just feeling that it was time for some more classic jumbling puzzles and I found a geometry by some tinkering like I found Fairly Twisted.
QuirkyCubes wrote:
The four-fold geometry at the top can never be scrambled past two moves because there are no turns that will line up. Do the stored cuts fix that?
Yes, that is why I added those stored cuts, well spotted! I like the pillowed looks of your version. You use pillowing to make the top corner stay attached, correct? I am sorry that you did not manage to turn it into a working puzzle.

Oskar

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Mon Apr 29, 2013 4:07 pm 
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Oskar wrote:
I like the pillowed looks of your version. You use pillowing to make the top corner stay attached, correct? I am sorry that you did not manage to turn it into a working puzzle.

Thanks. I think you're right; before pillowing, some cuts would have been so deep that the corner stalk was too thin.

If I ever did a reprint in the future, would you mind if I used your stored cut idea?

Chandler

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 Post subject: Re: Jumble Diamond by OSKAR
PostPosted: Tue Apr 30, 2013 2:03 am 
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QuirkyCubes wrote:
Oskar wrote:
If I ever did a reprint in the future, would you mind if I used your stored cut idea?
Please do! Oskar

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