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 Post subject: Master Square-1
PostPosted: Mon Feb 25, 2013 12:22 am 
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Joined: Fri Dec 28, 2012 1:50 pm
Location: Near Las Vegas, NV
Hello everyone,
Today I am very pleased to introduce my new twisty puzzle. It is my envision of a higher order Square-1.
Video
Attachment:
File comment: Master Square-1: Solved
DSC00052.JPG
DSC00052.JPG [ 1.73 MiB | Viewed 1829 times ]

Attachment:
File comment: Master Square-1: Different Angle
DSC00053.JPG
DSC00053.JPG [ 1.72 MiB | Viewed 1829 times ]

I think this is a 4x4 version of the Square-1 for 2 reasons:
1. There are twice as many edge pieces as before (16 instead of 8).
2. There are 4 layers instead of 3.

The puzzle turns like an average Square-1 at first:
Attachment:
File comment: Master Square-1: Vertical Slice
DSC00054.JPG
DSC00054.JPG [ 1.67 MiB | Viewed 1829 times ]

Attachment:
File comment: Master Square-1: Horizontal Turn
DSC00055.JPG
DSC00055.JPG [ 1.65 MiB | Viewed 1829 times ]

However, in reality, the geometry of the puzzle makes it behave differently. Like the original Square-1, two edge pieces together have the same width as one corner piece. But because there are extra edge pieces the geometry of the puzzle is related to an octagonal prism rather than a dodecagonal prism (the original). This can be demonstrated with this position:
Attachment:
File comment: Master Square-1: Symmetrical Pattern
DSC00058.JPG
DSC00058.JPG [ 1.65 MiB | Viewed 1829 times ]

Attachment:
File comment: Master Square-1: Symmetrical Pattern-Alternate View
DSC00059.JPG
DSC00059.JPG [ 1.66 MiB | Viewed 1829 times ]

Notice that all of the edge pieces are on one layer, and all of the corner pieces are on the other layer (unlike 8 edge, 2 corner on 1 and 6 corner on the other of the original puzzle).

The puzzle also has an extra bonus: instead of there being just one axis for slicing, there are two:
Attachment:
File comment: Master Square-1: Extra Slice Axis
DSC00056.JPG
DSC00056.JPG [ 1.67 MiB | Viewed 1829 times ]

But wait, there's more! Because the puzzle has a deep cut on every axis, it can also shapesift into a 2x2 which can randomly bandage depending on the previous moves:
Attachment:
File comment: Master Square-1: 2x2x2 Behavior
DSC00057.JPG
DSC00057.JPG [ 1.62 MiB | Viewed 1829 times ]

Here it is scrambled :shock:
Attachment:
File comment: Master Square-1: Scrambled
DSC00060.JPG
DSC00060.JPG [ 1.4 MiB | Viewed 1829 times ]

Attachment:
File comment: Master Square-1: Scrambled 2
DSC00061.JPG
DSC00061.JPG [ 1.41 MiB | Viewed 1829 times ]

Attachment:
File comment: Master Square-1: Scrambled 3
DSC00062.JPG
DSC00062.JPG [ 1.44 MiB | Viewed 1829 times ]

The puzzle turns VERY well, mainly because I used springs in the core.
This puzzle was inspired by the Brillicube Revenge.

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Last edited by benpuzzles on Sun Mar 17, 2013 12:40 am, edited 2 times in total.

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 Post subject: Re: Master Square-1
PostPosted: Mon Feb 25, 2013 3:11 am 
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Joined: Mon Jan 03, 2011 7:19 am
I like it a lot. Those additional possible turns reminds me of Square-1XP. Is the mechanism based on 2x2x2?

And I'm not sure but shouldn't higher order puzzle have more layers on every axis of rotation? In your puzzle you have 4 layers on vertical axis (in standard Square-1 there are 3), but horizontal axis divides it to two halves (as in Square-1) so there are still 2 layers. Could it be possible to add another layer to the puzzle?

Anyway, great puzzle. I'm looking forward to see video.

Krystian


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 Post subject: Re: Master Square-1
PostPosted: Mon Feb 25, 2013 6:09 am 
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Joined: Fri Oct 21, 2011 12:01 pm
I haven't wanted a puzzle as soon as I saw it in a while. The shape shifting makes this look like too much fun, great job.


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 Post subject: Re: Master Square-1
PostPosted: Mon Feb 25, 2013 6:18 am 
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Joined: Mon Jul 30, 2001 2:50 am
Location: Nottingham, UK
What a great idea!
Though I think additional edge split makes it closer to Square-2, but not quite...
Maybe it's a Master Square-1.5? :D
Vadim


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 Post subject: Re: Master Square-1
PostPosted: Mon Feb 25, 2013 11:46 am 
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Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Okay.
The museum knows many variants of the dodecagonal prism and its bandaged cousins. The more exotic puzzles are derived from the decagonal prism, the octadecagonal prism and one radical puzzle which behaves like tetraicosagonal prism.

This is the first bandaged hexadecagonal prism. Cool!

Your images are very good. Thank you for helping in this way.
Can you help me further with edge length and weight?

Andreas


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 Post subject: Re: Master Square-1
PostPosted: Mon Feb 25, 2013 4:06 pm 
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Joined: Fri Dec 28, 2012 1:50 pm
Location: Near Las Vegas, NV
Andreas Nortmann wrote:
This is the first bandaged hexadecagonal prism. Cool!
Can you help me further with edge length and weight?

Andreas

Oh yeah, sorry about that...the size is about 57mmx57mmx62mm. The weight...well, I don't have a scale unfortunately. I'll try to calculate it manually.

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 Post subject: Re: Master Square-1
PostPosted: Tue Feb 26, 2013 10:27 pm 
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Joined: Fri Dec 28, 2012 1:50 pm
Location: Near Las Vegas, NV
...and solved!
Attachment:
File comment: Solved! Challenging, but fun.
DSC00066.JPG
DSC00066.JPG [ 2.1 MiB | Viewed 1418 times ]

This was actually much more difficult than I had originally anticipated. I expected to be able to solve it first like a 2x2 (to return the puzzle to the original form) then by using an edge pairing technique similar to pairing corner pieces on a Square-2, and finally solving it like a Square-1, but it's actually not at all like that. I'll explain more about this later...

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 Post subject: Re: Master Square-1
PostPosted: Sun Mar 17, 2013 12:40 am 
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Joined: Fri Dec 28, 2012 1:50 pm
Location: Near Las Vegas, NV
***Bump***

Sorry for the bump but I've just added a video (I really need to get on top of these). I will also be auctioning this copy of the puzzle in the near future, so be on the lookout for that as well.
I might be able to put this up for sale on Shapeways, but chances are I won't be able to. We'll see what happens...

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 Post subject: Re: Master Square-1
PostPosted: Tue Mar 19, 2013 12:28 pm 
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Joined: Sun Aug 22, 2010 12:32 pm
This puzzle is just.. wow!


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