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 Post subject: Knot Cube by OSKAR
PostPosted: Sat Aug 10, 2013 5:53 am 
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Hi Non-Twisty Puzzles fans,

Knot Cube are eight cubes connected by corner hinges, made of nylon "fishing" wire. The object is to make a 2x2x2 cube and various other shapes.

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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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sat Aug 10, 2013 9:32 am 
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This is a bit tougher than it looks. I played with it a bit during the time I spent with Oskar, but didn't solve it...no surprise there is there?

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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sat Aug 10, 2013 10:20 am 
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At the day I met Mr Oskar I saw this one. That day we 've got too much friends to talk with & too many puzzles to play with. Sadly I miss the chance to try this one~Not as easy as it looks huh?


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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sun Aug 11, 2013 7:26 am 
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Nice puzzle.

About the question in Oskar's original youtube comment: "Can you fold the cubes into a knot?" ...

My answer is NO, it can't...

Assuming that each cube is connected to two other cubes (I can't see from the pictures and video, but it looks like it), then the topology forms a simple, closed loop and must be fixed, therefore it shouldn't be possible to form a knot (unless the topology is locked in the form of a pretzel, but I don't think that's the case because it wouldn't enable so much flexibility).

On the other hand, the size and shape of the cubes may get in each other's way, making it *seem* like the loop forms a knot, when it actually can't.

Is that right?

So then why is it called "Knot Cube"? Just because of the hindrance effect I mentioned above?

Oskar: If it's not a simple loop then please could you post a 2D picture/map of the topology, thanks!

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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sun Aug 11, 2013 7:32 am 
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KelvinS wrote:
Assuming that each cube is connected to two other cubes (I can't see from the pictures and video, but it looks like it), then the topology forms a simple, closed loop ... Is that right?
No. Four of the cubies connect to THREE neighbours.

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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sun Aug 11, 2013 8:03 am 
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Oskar wrote:
KelvinS wrote:
Assuming that each cube is connected to two other cubes (I can't see from the pictures and video, but it looks like it), then the topology forms a simple, closed loop ... Is that right?
No. Four of the cubies connect to THREE neighbours.

Interesting, thanks.

Still, I believe the topology must be fixed, so it's either always in a knot, or never, which means it can't "fold into a knot", right?

Unless of course there are any "loose ends" (cubes with only one connection) which can be threaded through a loop?

Could you post a 2D picture/map/representation of the topology/connectivity, with a dot/node representing each cube? That won't give away the 2x2x2 solution, because it doesn't show which corners of each cube have the connections...

Is there any symmetry in the topology?

Do you plan to make a 3x3x3, or other higher order version?

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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sun Aug 11, 2013 12:34 pm 
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Joined: Mon Aug 18, 2008 10:16 pm
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A new take on the Pyrix concept. Wonderful!

It seems impossible to make a "flat", one-cube-deep shape with it. Is that correct?


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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sun Aug 11, 2013 2:28 pm 
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Jared wrote:
A new take on the Pyrix concept.
Knot Cube was designed in 1991. Which puzzle was first, you think?
KelvinS wrote:
Is there any symmetry in the topology?
Mirror symmetry, nothing more.
KelvinS wrote:
Do you plan to make a 3x3x3, or other higher order version?
No. 2x2x2 hits the sweet spot for elegance and difficult. However, feel free to buy multiple samples and build your own higher-order version :-).

Oskar

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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sun Aug 11, 2013 3:03 pm 
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Oskar wrote:
KelvinS wrote:
Do you plan to make a 3x3x3, or other higher order version?
No. 2x2x2 hits the sweet spot for elegance and difficult. However, feel free to buy multiple samples and build your own higher-order version :-).Oskar

Thanks, but if you won't explain how the cubes are connected like I asked, then how do I know how many sets I would need to buy to make my own version, or even if it is possible?

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 Post subject: Re: Knot Cube by OSKAR
PostPosted: Sun Aug 11, 2013 4:52 pm 
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Oskar wrote:
Knot Cube was designed in 1991. Which puzzle was first, you think?


Ah! Then it predates Pyrix too! That was patented in 1992.


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