Online since 2002. Over 3300 puzzles, 2600 worldwide members, and 270,000 messages.

TwistyPuzzles.com Forum

It is currently Thu Apr 17, 2014 4:43 am

All times are UTC - 5 hours



Post new topic Reply to topic  [ 13 posts ] 
Author Message
 Post subject: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 9:01 am 
Offline
User avatar

Joined: Mon Mar 22, 2010 7:00 am
Location: Germany, Siegerland
Hi!

I wanted to try this puzzle ever since I have made the Constellation Six.
The point was to get regular pentagons instead of circles in the face centers.
This was only possible by changing the angle between axes from 120° to 130.42°.

As a cost, the puzzle has lost its rotational symmetry and one working axis.
So, here's the Biaxe ([bi-'aks]) - a challenging puzzle with only 2 possible moves.

I don't know whether it is easier than Constellation Six, maybe the difficulty is pretty much the same.

Because there are 2 moves, a binary code notation may be used for scramling and solving: 00111000100101010100010 :)

YouTube Video

Attachment:
DSC03420.JPG
DSC03420.JPG [ 155.78 KiB | Viewed 2501 times ]


Attachment:
DSC03415.JPG
DSC03415.JPG [ 168.06 KiB | Viewed 2501 times ]


Attachment:
DSC03413.JPG
DSC03413.JPG [ 108.11 KiB | Viewed 2501 times ]


Attachment:
DSC03414.JPG
DSC03414.JPG [ 110.29 KiB | Viewed 2501 times ]


Attachment:
DSC03417.JPG
DSC03417.JPG [ 140.7 KiB | Viewed 2501 times ]

_________________
Timur aka Shim
Signed Vulcanos ($48), Pillow Pyraminxes ($22)
Come visit my Shapeways shop


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 9:04 am 
Offline

Joined: Sun Jan 02, 2011 6:48 pm
Location: Canada
Another great puzzle that should be mass produce :P , look very nice.

_________________
katsmom wrote:
My grapes are making noises right now. They keep saying drink me, drink me.


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 9:19 am 
Offline
User avatar

Joined: Sun Mar 15, 2009 12:00 am
Location: Jarrow, England
Interesting that a puzzle which allows so few moves can be so complex.

_________________
My Shapeways Shop: http://www.shapeways.com/shops/gus_shop

Image


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 11:37 am 
Offline
User avatar

Joined: Tue Aug 11, 2009 3:59 pm
Location: NJ
Very interesting puzzle. I also think that having two moves and being complex to solve isn't that much of a stretch considering puzzles like the hungarian rings, and arusloky (albeit, neither are too hard).

_________________
Jhahoua wrote:
Oskar wrote:
There are three types of people: those are good at counting and those who aren't ... :-)

But that is only 2 kinds of people what is the 3rd?


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 11:42 am 
Offline
User avatar

Joined: Thu Sep 24, 2009 12:21 pm
Location: Chichester, England
That is unbelievably cool. I really hope I can buy one of these shortly.

Would it have been possible to make the other axis turn in steps of 180 degrees? It appears as if it could.

_________________
3x3x3 single: 5.73 seconds.
3x3x3 average of five: 8.92 seconds.
3x3x3 average of twelve: 9.77 seconds.

Buy the Curvy Copter Skewb, NovaMinx, and more here!


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 11:53 am 
Offline
User avatar

Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
The regular pentagons proove that this is no fudged puzzles.
But there are cuts between pieces that can't be used by a direct move.

Very strange...
and cool.


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 12:34 pm 
Offline
User avatar

Joined: Thu Dec 02, 2004 12:09 pm
Location: Missouri
NICE!!! I really like this one.
Andreas Nortmann wrote:
The regular pentagons proove that this is no fudged puzzles.
But there are cuts between pieces that can't be used by a direct move.
There are now several puzzles out there with this type of cut. We've been calling them "Stored Cuts". Here is a search which turns up a few of them.
http://twistypuzzles.com/forum/search.php?keywords=%22stored+cuts%22

Carl

_________________
-
Image

Image


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 1:43 pm 
Offline

Joined: Sat Mar 22, 2003 9:11 am
Location: Marin, CA
This is definitely a more difficult puzzle than the Constellation Six, which was already a very difficult puzzle to begin with.


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 1:56 pm 
Offline
User avatar

Joined: Thu Dec 02, 2004 12:09 pm
Location: Missouri
What would the dual of this shape look like? I'm curious if that would give those pentagon face centers a unique orientation in the solved state.

Carl

_________________
-
Image

Image


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Tue Jul 05, 2011 5:54 pm 
Offline

Joined: Sat Mar 22, 2003 9:11 am
Location: Marin, CA
Carl, the pentagons do, in fact, have orientation. If you rotate the left piece clockwise and then the right piece clockwise, the pentagon at the top front will be back in its original position but at a different orientation.


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Wed Jul 06, 2011 7:26 am 
Offline
User avatar

Joined: Thu Dec 02, 2004 12:09 pm
Location: Missouri
Bram wrote:
Carl, the pentagons do, in fact, have orientation. If you rotate the left piece clockwise and then the right piece clockwise, the pentagon at the top front will be back in its original position but at a different orientation.

Agreed... I was curious if the dual of this shape would show that change in orientation. Just as the Trajber's Octahedron makes the face center orientation of a Rubik's Cube apparent.

Carl

_________________
-
Image

Image


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Wed Jul 06, 2011 11:25 am 
Offline
User avatar

Joined: Mon Mar 22, 2010 7:00 am
Location: Germany, Siegerland
Luke wrote:
Would it have been possible to make the other axis turn in steps of 180 degrees? It appears as if it could.

I doubt about this, because this cutting surface is not plane - it consists of two non-parallel planes.
Andreas Nortmann wrote:
The regular pentagons proove that this is no fudged puzzles.
But there are cuts between pieces that can't be used by a direct move.

Do you mean that stored cuts can happen only in a fudged puzzle? Sounds like a theorem that should be proven :)
wwwmwww wrote:
What would the dual of this shape look like? I'm curious if that would give those pentagon face centers a unique orientation in the solved state.

Well, dual shape requires definition of face centers. Where is a center in a scalene triangle? We can define the center as the pentagon's center. In this case the dual shape is some triangular prism, whose section is an isosceles triangle. And it's easy to imagine that the elements that correspond to pentagons will be corners of the prism, so they will lose their 5-order rotational symmetry and the dual puzzle will change shape.

_________________
Timur aka Shim
Signed Vulcanos ($48), Pillow Pyraminxes ($22)
Come visit my Shapeways shop


Top
 Profile  
 
 Post subject: Re: Timur's Biaxe
PostPosted: Wed Jul 06, 2011 11:58 am 
Offline
User avatar

Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Timur wrote:
Andreas Nortmann wrote:
The regular pentagons proove that this is no fudged puzzles.
But there are cuts between pieces that can't be used by a direct move.

Do you mean that stored cuts can happen only in a fudged puzzle? Sounds like a theorem that should be proven
No. That means almost every time I saw stored cuts in doctrinaire puzzle was in restricted puzzles. Examples for the other were Senior Barrel, Pentastick and Biaxe.
It gets quite interesting when you try to "unstore" the stored cuts.


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 13 posts ] 

All times are UTC - 5 hours


Who is online

Users browsing this forum: Google [Bot], rakaCN and 7 guests


You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to:  

Forum powered by phpBB © 2000, 2002, 2005, 2007 phpBB Group