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 Post subject: IdenticalCircles
PostPosted: Tue May 18, 2010 10:42 am 
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I want to present "SharpEdges 201100220100 IdenticalCircles"
Attachment:
SharpEdges 201100220100 IdenticalCircles (0).JPG
SharpEdges 201100220100 IdenticalCircles (0).JPG [ 94.54 KiB | Viewed 2895 times ]
Attachment:
SharpEdges 201100220100 IdenticalCircles (1).JPG
SharpEdges 201100220100 IdenticalCircles (1).JPG [ 94.63 KiB | Viewed 2895 times ]
Attachment:
SharpEdges 201100220100 IdenticalCircles (2).JPG
SharpEdges 201100220100 IdenticalCircles (2).JPG [ 92.27 KiB | Viewed 2895 times ]
Attachment:
SharpEdges 201100220100 IdenticalCircles (3).JPG
SharpEdges 201100220100 IdenticalCircles (3).JPG [ 97.35 KiB | Viewed 2895 times ]

You might notice a resemblance to the Rhombohedron I presented yesterday.
Both have similar but different cutting signatures.

These cutting signatures are indeed bandaging signatures (for the 3x3x3, obviously), which can be used with this: viewtopic.php?f=1&t=15993

The IdenticalCircles' signature translates to this bandaging:
Attachment:
IdenticalCircles.png
IdenticalCircles.png [ 4.45 KiB | Viewed 2895 times ]

The Rhombohedron (viewtopic.php?f=15&t=17253) is equivalent to:
Attachment:
Rhombohedron.png
Rhombohedron.png [ 4.43 KiB | Viewed 2895 times ]

You see the small but important difference?


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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 11:06 am 
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Looks beautiful! I never thought about this mod.

AS ALWAYS: Excellent work!!!!!!!!!!


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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 11:18 am 
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Totally amazing! it reminds me about Unique 1....


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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 5:21 pm 
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AS far as i can tell it cant turn can it?


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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 5:41 pm 
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eye2eye wrote:
AS far as i can tell it cant turn can it?

This is what I'm getting from looking at the picture. Every side is bandaged to another side... Not much of a "puzzle", is it? Still, nice work.

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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 6:12 pm 
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I can't figure that out either. I do see the difference in those two designs, but it seems to me that both of them are incapable of turning.

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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 6:42 pm 
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The puzzle isn't bandaged - but the cuts follow the patterns of the bandaged faces in the diagrams, directionally speaking.


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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 6:47 pm 
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Andreas Nortmann wrote:
You see the small but important difference?

No.

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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 6:54 pm 
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Jared wrote:
The puzzle isn't bandaged - but the cuts follow the patterns of the bandaged faces in the diagrams, directionally speaking.

Oh, I get it. The direction of the bandaging in the picture is the direction he cut the puzzle in, but the puzzle itself isn't bandaged. That makes sense.

...though, the picture of the digital cube wouldn't be usable, correct?

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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 6:58 pm 
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SaiyanKirby wrote:
Jared wrote:
The puzzle isn't bandaged - but the cuts follow the patterns of the bandaged faces in the diagrams, directionally speaking.

Oh, I get it. The direction of the bandaging in the picture is the direction he cut the puzzle in, but the puzzle itself isn't bandaged. That makes sense.

...though, the picture of the digital cube wouldn't be usable, correct?

Correct. There'd be no way to turn the bandaged cube.

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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 8:22 pm 
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When you say:
Andreas Nortmann wrote:
I want to present "SharpEdges 201100220100 IdenticalCircles"

do you mean there are 20 billion possible ways to bandage like this, or is there some system you use to come up with this number?

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 Post subject: Re: IdenticalCircles
PostPosted: Tue May 18, 2010 8:34 pm 
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Rentlix wrote:
When you say:
Andreas Nortmann wrote:
I want to present "SharpEdges 201100220100 IdenticalCircles"

do you mean there are 20 billion possible ways to bandage like this, or is there some system you use to come up with this number?

It's a bandaging signature used as a cut signature. It's just a way of assigning this puzzle a categorical number.

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 Post subject: Re: IdenticalCircles
PostPosted: Wed May 19, 2010 11:23 am 
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Thanks for the kind answers.

Yes, the bonds in the bandagings told me where to make the cuts. So it is irrelevant that both bandaged cubes shown have no possible turns.
The small difference in the bandagings shown above are the directions of the triplets of bonds. In the upper picture the bonds make up an clockwise and anti-clockwise path around one corner. In the lower picture both are anti-clockwise.
Rentlix wrote:
When you say:
Andreas Nortmann wrote:
I want to present "SharpEdges 201100220100 IdenticalCircles"
do you mean there are 20 billion possible ways to bandage like this, or is there some system you use to come up with this number?
Although VDude's answer is perfectly correct, I want to add:
There are 2^54 = 18*10^15 (more than 20 billion) different ways to bandage a RubiksCube.
Every bandaging is represented by a 54-bit binary number and written with a hexadecimal notation.
Every binary digit is assigned to a specific potential bond. If the bond is implemented the bit is set in the signature.


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 Post subject: Re: IdenticalCircles
PostPosted: Thu May 20, 2010 1:28 pm 
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Nice work, you have cut and paste it?
Or i haven't understood his shape?

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 Post subject: Re: IdenticalCircles
PostPosted: Fri May 21, 2010 8:55 am 
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RFLo9Puzzles wrote:
Nice work, you have cut and paste it?
Or i haven't understood his shape?

I cut a 3x3x3 and put Apoxie Sculpt on the faces which were left like the original.


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 Post subject: Re: IdenticalCircles
PostPosted: Fri May 21, 2010 9:01 am 
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Andreas Nortmann wrote:
RFLo9Puzzles wrote:
Nice work, you have cut and paste it?
Or i haven't understood his shape?

I cut a 3x3x3 and put Apoxie Sculpt on the faces which were left like the original.


Ok but the cuts are deep and very inclined?

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 Post subject: Re: IdenticalCircles
PostPosted: Fri May 21, 2010 9:19 am 
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Andreas Nortmann wrote:
Ok but the cuts are deep and very inclined?
Every cut is made like these:
viewtopic.php?p=97890#p97890
one third of a cubes length on one end and one half of a cubes length on the other end is cut away.


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 Post subject: Re: IdenticalCircles
PostPosted: Fri May 21, 2010 9:27 am 
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Andreas Nortmann wrote:
Andreas Nortmann wrote:
Ok but the cuts are deep and very inclined?
Every cut is made like these:
viewtopic.php?p=97890#p97890
one third of a cubes length on one end and one half of a cubes length on the other end is cut away.


ok explained is a bit complicated, I think I will take pen and paper to better understand, and i have watched the post, i have used this method to make the tetrakis hexahedron on the 3x3x3 thank you very much for both.

Nice work

Rafael

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