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 Post subject: 27-cube
PostPosted: Thu Oct 03, 2013 6:59 am 
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Here the first pictures of my new design. On Friday I will come with much more informations.
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 Post subject: Re: 27-cube
PostPosted: Thu Oct 03, 2013 7:04 am 
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It is visually very pleasing and I know you said you will following with more information but do the inside colour pieces have a function?

It will bug me all night otherwise :D

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 Post subject: Re: 27-cube
PostPosted: Thu Oct 03, 2013 7:15 am 
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Wow, what a great idea. kind of the opposite principle to my twisted assembly puzzles.

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 Post subject: Re: 27-cube
PostPosted: Thu Oct 03, 2013 7:35 am 
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Tony Fisher wrote:
Wow, what a great idea. kind of the opposite principle to my twisted assembly puzzles.


So its like a 3D 3x3x3 cube block building puzzle that turns into a fully functional 3x3x3 cube?

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 Post subject: Re: 27-cube
PostPosted: Thu Oct 03, 2013 8:18 am 
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Excellent idea, making the cubies into assembly puzzles so that each outer face must be a solid colour. Does this also apply to the inner (normally unseen) faces as well? If you knew the final colour scheme (I'm assuming that it would be standard Rubik's) and you just had a big bag of all the pieces, do you think it would be solvable in a reasonable time?

BTW, regarding the assemblies of the cubies, did you design these yourself Claus, or are they based on already known dissections of a cube? Please tell me that one is using the Soma pieces!

And another thought. since there are 240 different ways to put together the Soma cube into a 3x3x3, I wonder if it possible to correctly colour the pieces so that 27 different solutions can be selected which present the correct solid faces to build the final puzzle? And then you put all of these pieces into a bag, and mix them up ...

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 Post subject: Re: 27-cube
PostPosted: Thu Oct 03, 2013 2:35 pm 
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WOW!!! great IDEA

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 Post subject: Re: 27-cube
PostPosted: Thu Oct 03, 2013 2:51 pm 
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OK, you said more information by tomorrow. So, no more questions, let me just repeat what others have said here before: "Great idea!"

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 Post subject: Re: 27-cube
PostPosted: Thu Oct 03, 2013 3:02 pm 
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Gus wrote:
Excellent idea, making the cubies into assembly puzzles so that each outer face must be a solid colour. Does this also apply to the inner (normally unseen) faces as well? ...

BTW, regarding the assemblies of the cubies, did you design these yourself Claus, or are they based on already known dissections of a cube? Please tell me that one is using the Soma pieces!

No, opposite faces on the cubies must match. Each cubie forms a 6x6x6 cube minus edges and corners. Sort of like a burr puzzle, with each individual piece 6xmxn. So no, no Soma dissection.

But I am fascinated by the mini puzzles. I like the idea -- it's a put-together puzzle (in a different way than a disassembled twisty typically is), and a twisty puzzle. How interesting it is as a puzzle depends on the nature of the mini puzzles, I think. It could be trivial, or almost impossible, to sort out the pieces into matching sets.


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 Post subject: Re: 27-cube
PostPosted: Fri Oct 04, 2013 2:20 am 
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Attachment:
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I called it 27-cube because:
The complete 3x3x3 twisty puzzle is composed of 26 interlocking puzzles. Each visible cubie of this Rubik Cube includes one „Put Together“- or „Fall Apart“ – puzzle (see following pictures for their names and details). I found all puzzles of the webside "puzzlewillbeplayed.com"
And the number 27 is the 3x3x3 rotational puzzle itself.
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You have different kinds of interlockings.

Some you must assemble directly in the 27-frame. Other you need to assemble outside and have to plug in.
Goetz and Chris Lohe helped me to find solutions for some of the interlockings. Here is an example by Chris:
Attachment:
cw_27-cube (15).jpg
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It shows the storyboard for the solution of the corner "Mixed Filled Frame". But with his help I am not able to solve it.
For other puzzles I need sometimes half an hour for solving and I knew the correct way before.

I think it is not possible to solve the whole twisty when you get a package with all single pieces and do not have the upper informations. It is much difficult to identify each piece to put them to the right interlockings. There are a lot of puzzles you have to make more than 20 moves to place the last piece.

Thnak you for reading/watching.


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 Post subject: Re: 27-cube
PostPosted: Fri Oct 04, 2013 2:53 am 
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Absolutely amazing. This will send burr puzzle fans into a frenzy - have you posted this information on some of their sites? How big and heavy is this puzzle? By the way, these parts look very smooth, are you using a new printer?

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 Post subject: Re: 27-cube
PostPosted: Fri Oct 04, 2013 10:34 am 
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I missed this yesterday by several hours.

This is unbelievable, ridiculous, awesome, mindbending, cool, etc.
Pick one! Or all of them.

Andreas


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 Post subject: Re: 27-cube
PostPosted: Fri Oct 04, 2013 12:22 pm 
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Andreas Nortmann wrote:
I missed this yesterday by several hours.

This is unbelievable, ridiculous, awesome, mindbending, cool, etc.

Yeah. So... when can I get it on Shapeways?


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 Post subject: Re: 27-cube
PostPosted: Fri Oct 04, 2013 12:39 pm 
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Claus, you should enter this into next year's IPP competition!

And you should also make this one available for purchase. It's simply awesome!

-Eitan

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 Post subject: Re: 27-cube
PostPosted: Sun Oct 06, 2013 12:09 pm 
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I second these requests. This should definitely be part of next year's design competition! :)

Claus, this is awesome! :shock:

I first wondered if there were only simple interlocking puzzles in the 27 cube, but looking through the list I do not only see nice and difficult ones, but also a "Tron Commun 4", which is a very difficult puzzle, hard to assemble and there is currently no computer program solving it! For those of you looking for more information about the Tronc Commun 4, please try a google search. There is a video showing the solution on-line, showing the 12 consecutive rotations needed for one of the pieces. :wink:

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 Post subject: Re: 27-cube
PostPosted: Sun Oct 06, 2013 1:38 pm 
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goetz wrote:
but also a "Tron Commun 4", which is a very difficult puzzle, hard to assemble and there is currently no computer program solving it! For those of you looking for more information about the Tronc Commun 4, please try a google search. There is a video showing the solution on-line, showing the 12 consecutive rotations needed for one of the pieces. :wink:

Wow. Now I want to write a program that can solve it. :-)

I am not so sure about the appropriateness for the design competition. It seems to mostly consist of pre-existing puzzles; the new thing looks to be the way they fit into the support structure. But I think it is worth submitting, certainly asking about.

Anyway, I definitely want to own one! What is the scale? For the mini-burrs, I might prefer woods in contrasting colors. But probably they would be a bit small, or the cube would be very large. Hmm.


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 Post subject: Re: 27-cube
PostPosted: Sun Oct 06, 2013 1:54 pm 
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Yes, also thought about existing desings being used here, so asking those designers before submitting might be appropriate.

As for the wooden version: When using Boardman-size burrs, it might even be same size like a regular 3x3x3. :D

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 Post subject: Re: 27-cube
PostPosted: Sun Oct 06, 2013 2:05 pm 
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Can you imagine trying to solve a Boardman-scaled Tron Commun 4? :shock:


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 Post subject: Re: 27-cube
PostPosted: Sun Oct 06, 2013 2:17 pm 
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Oh... my... God...

Claus... are you trying to make me like Burr puzzles???

:lol:


Fantastic combination, nothing more to say.

:D


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 Post subject: Re: 27-cube
PostPosted: Mon Oct 07, 2013 3:38 am 
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Thanks to all.

Here is a link to a video: http://www.youtube.com/watch?v=kNxGY87PUYQ

The weight of the 27-cube is 2700 grams. Each cubie has a weight of 100 grams.
Its size is 180mm x 180mm x 180mm. This means that each burr is close to the size of the Boardman-size burr.

Because I have no rights on the interlockings I can't sell it and I can't be part of the IPP competition.
But I am working on a work-around...


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 Post subject: Re: 27-cube
PostPosted: Mon Oct 07, 2013 4:12 am 
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Maybe it's possible to make 26 new burrs?

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 Post subject: Re: 27-cube
PostPosted: Mon Oct 07, 2013 5:23 am 
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clauswe wrote:
The weight of the 27-cube is 2700 grams.
So, ABS is approximately 1g/cm^3, thus the volume of material used is about 2700 cm^3 (ignoring harware). With printing costs at 0.55 EUR /cm^3 this means that this puzzle cost arount 1500 EUR to print :shock:

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 Post subject: Re: 27-cube
PostPosted: Mon Oct 07, 2013 5:50 am 
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Blimey Guvnor!

That puzzle is huge.

It is truly amazing, does the mechanics of it require it to be that big? I would love a fiddly little standard 57mm sized one :D

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 Post subject: Re: 27-cube
PostPosted: Mon Oct 07, 2013 8:25 am 
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To play in a very good way with Burrs they must have a minimum size. Maybe it is possible to make it a little bit smaller, but downsizing on 80% or less is not possible.

Gus you can do another calculation: 18cm x 18cm x 18cm = 5800 cm^3
Printing desity in spare modus (30%) = 1740 cm^3
Multiplicate with 0.55 Euro and you have my printing costs.


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 Post subject: Re: 27-cube
PostPosted: Tue Oct 08, 2013 10:24 am 
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clauswe wrote:
Because I have no rights on the interlockings I can't sell it and I can't be part of the IPP competition.
But I am working on a work-around...


You should contact Bernhard Schweitzer. He is one of the best (if not the best)
in terms of such knowledge as well as IP rights. He will be thrilled to know there is
such a combined design and he will definitely advise you of the type of burrs you
may or may not use.

:)


Pantazis

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