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

TwistyPuzzles.com Forum

It is currently Thu Apr 17, 2014 3:02 pm

All times are UTC - 5 hours



Post new topic Reply to topic  [ 15 posts ] 
Author Message
 Post subject: AntiRainbow
PostPosted: Wed Aug 21, 2013 2:50 pm 
Offline
User avatar

Joined: Sun Mar 08, 2009 9:21 am
Location: Massachusetts, USA
The geometry of this puzzle is a strange one. At first, I tried creating a puzzle based on the geometry of the triangular orthobicupola, but doing so results in a multiple origin puzzle. I wanted a shape where the dihedral angle between two rectangles or between a rectangle and an equilateral triangle was 120°, as this allows edge pieces to be exchanged freely between these faces. The result is the shape you see here. One interesting property of this shape is that the length to width ratio of the rectangles is equal to the square root of 3, and the height of the puzzle is the same as the longer edge length of the rectangles. The puzzle measures 73mm tall, and weighs approximately 130 grams.
Attachment:
1.JPG
1.JPG [ 2.38 MiB | Viewed 2085 times ]

VIDEO

I originally wanted to make this puzzle deeper cut than this, but I could not find a good way to do so without creating lots of tiny pieces, so I opted for these curvy cuts instead. As you can see in the pictures below, this puzzle jumbles, so I decided do a bit of unbandaging, which makes the rectangular faces appear symmetrical.

Those wondering where the name comes from: one other name for the triangular orthobicupola is the anticuboctahedron, since the shape is like a cuboctahedron that has been cut in half, rotated, and put back together. The rainbow cube is probably the best known cuboctahedron-shaped puzzle, but I also thought that this name was appropriate because the two puzzles otherwise have very little in common, but are both 14-sided.

More pictures:

Solved
Attachment:
2.JPG
2.JPG [ 2.25 MiB | Viewed 2085 times ]

Turning
Attachment:
3.JPG
3.JPG [ 2.53 MiB | Viewed 2085 times ]

More turning
Attachment:
4.JPG
4.JPG [ 2.42 MiB | Viewed 2085 times ]

Jumbling
Attachment:
5.JPG
5.JPG [ 1.74 MiB | Viewed 2085 times ]

Partially scrambled
Attachment:
6.JPG
6.JPG [ 1.92 MiB | Viewed 2085 times ]

VIDEO

This puzzle is for sale from my Shapeways shop here for $150 in WSF.

_________________
Katniss wrote:
Only on this forum would people use a V-cube 7 as a size comparison for a cat :lol:

My Shapeways shop


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Wed Aug 21, 2013 2:59 pm 
Online
User avatar

Joined: Fri Dec 28, 2012 1:50 pm
Location: Near Las Vegas, NV
That looks very interesting and odd. So, essentially it is a vertex-turning trapezo-rhombic dodecahedron? Really neat!

_________________
My Youtube channel
My Shapeways Shop


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Wed Aug 21, 2013 4:12 pm 
Offline
User avatar

Joined: Fri Feb 18, 2000 8:50 am
Location: chicago, IL area U.S.A
Wow, that is really cool. Very well made! And it jumbles!

-d


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Wed Aug 21, 2013 6:17 pm 
Offline
User avatar

Joined: Fri Nov 05, 2010 2:20 am
Location: Wherever
benpuzzles wrote:
So, essentially it is a vertex-turning trapezo-rhombic dodecahedron? Really neat!


Its not a Vertex turning trapezo rhombic dodecahedron. If it were,

1) The polyhedron would be regular

2) The other triangles would turn as well.

I still think it's an awesome puzzle! So strange.

_________________
A budding puzzle designer!

Check out my Shapeways shop!


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Wed Aug 21, 2013 6:52 pm 
Offline
User avatar

Joined: Sun Mar 08, 2009 9:21 am
Location: Massachusetts, USA
This is the dual shape of the AntiRainbow. It's a slightly skewed trapezo-rhombic dodecahedron. I highlighted the vertices that correspond to the turning faces on this puzzle.
Image

_________________
Katniss wrote:
Only on this forum would people use a V-cube 7 as a size comparison for a cat :lol:

My Shapeways shop


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Wed Aug 21, 2013 10:22 pm 
Offline
User avatar

Joined: Thu Dec 31, 2009 8:54 pm
Location: Bay Area, California
Very cool Will! I really like the juxtaposition of simplicity and complexity. I mean simplicity in that it's shallow cut with an exposed core and not that many pieces, and, of course, complexity in the shape of the puzzle, the unbandaging, and the neat interaction between the three different face shapes.

I bet for the size (piece count), it'll offer quite a solving challenge.

_________________
Prior to using my real name I posted under the account named bmenrigh.


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Thu Aug 22, 2013 3:59 am 
Offline
User avatar

Joined: Sun Mar 15, 2009 12:00 am
Location: Jarrow, England
An strangely interesting shape, and I love the curvy cuts. Is there just one type of jumbling move? Is this puzzle simulated by Gelatinbrain?

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

Image


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Thu Aug 22, 2013 9:20 am 
Offline
User avatar

Joined: Thu Dec 31, 2009 8:54 pm
Location: Bay Area, California
Gus wrote:
Is this puzzle simulated by Gelatinbrain?

Nope.

_________________
Prior to using my real name I posted under the account named bmenrigh.


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Thu Aug 22, 2013 11:52 am 
Offline
User avatar

Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
Great images for a great puzzle.
Thank you for the measurements.

Without the jumbling moves the axis system is similar to this one:
http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=1771
although the AntiRainbow is not deepcut for both sets of turns.

BTW:
http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=4326


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Thu Aug 22, 2013 1:16 pm 
Offline
User avatar

Joined: Mon Nov 30, 2009 1:03 pm
will_57 wrote:
This is the dual shape of the AntiRainbow. It's a slightly skewed trapezo-rhombic dodecahedron. I highlighted the vertices that correspond to the turning faces on this puzzle.
Will,

Great design! I like the partial unbandaging.

When I design jumbling puzzles, I start from the rotating vertices, like you did. The requirement is that all vertices should lie on the surface of a sphere and the distance between adjacent rotation-axis vertices should be the same. Your design satisfies this requirement. Some geometries satisfy almost but not exactly, like Jumblix. In those cases some fudging is needed. Your design looks fudge-free to me.

Oskar

_________________
Oskar's home page, YouTube, Shapeways Shop, Puzzlemaster, and fan club
Image.


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Thu Aug 22, 2013 3:00 pm 
Offline
User avatar

Joined: Sun Mar 08, 2009 9:21 am
Location: Massachusetts, USA
Gus wrote:
Is there just one type of jumbling move?

I think so, but I'm still not entirely sure. One thing I didn't show in the post above is that even when only making 180° turns on the rectangular faces, there are blocked moves, as in the picture below. The purple face cannot turn.
Attachment:
7.JPG
7.JPG [ 2.05 MiB | Viewed 1614 times ]

Theoretically, one could unbandage this, but I didn't do it because it would create impossible small pieces. However, I still don't know if that would be enough to unblock all 180° (for the rectangular faces) and 120° (for the triangular faces) turns.

Also, Andreas, I'm a bit confused by the description of the puzzle in the museum. You say it's similar to a shape of a truncated tetrahedron, but I don't see the resemblance. Could you explain what you mean?

_________________
Katniss wrote:
Only on this forum would people use a V-cube 7 as a size comparison for a cat :lol:

My Shapeways shop


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Sat Aug 24, 2013 2:14 am 
Offline
User avatar

Joined: Mon Aug 02, 2004 7:03 am
Location: Koblenz, Germany
will_57 wrote:
Andreas, I'm a bit confused by the description of the puzzle in the museum. You say it's similar to a shape of a truncated tetrahedron, but I don't see the resemblance. Could you explain what you mean?
The description in the museum wrote:
truncated tetrahedron (an archimedean solid) which was further truncated on six of the edges
The second part of the sentence is important.
Another example of this truncation is demonstrated here:
http://twistypuzzles.com/articles/spotlight-jurgen/
Please refer to "Pyraminx Variations" variant b


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Sat Aug 24, 2013 3:43 am 
Offline
User avatar

Joined: Sun Mar 08, 2009 9:21 am
Location: Massachusetts, USA
That description isn't completely accurate, though. The shape more like a truncated tetrahedron (including the truncations along the edges) that has been cut in half, copied, and then mirrored to create the shape you see. However, this is still only an approximation, since the angles between the faces are not the same as those of the truncated tetrahedron, and the smaller triangular faces are not equilateral.

_________________
Katniss wrote:
Only on this forum would people use a V-cube 7 as a size comparison for a cat :lol:

My Shapeways shop


Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Sat Aug 24, 2013 8:07 am 
Offline
User avatar

Joined: Wed Jan 07, 2009 6:46 pm
Location: Evanston, IL
Woah! Will this is so cool!

-Eitan

_________________
Eitan = "EIGHT-ahn"
Buy a Radio Cube 3! Only $150 at Eitan's Shapeways Shop
Check out my video: Twisty Puzzles a la Vi



Top
 Profile  
 
 Post subject: Re: AntiRainbow
PostPosted: Sat Aug 24, 2013 9:24 am 
Offline
User avatar

Joined: Sat Sep 15, 2012 7:42 am
Gus wrote:
An strangely interesting shape, and I love the curvy cuts. Is there just one type of jumbling move? Is this puzzle simulated by Gelatinbrain?


Less "conventional" puzzles that are not covered by Gelatinbrain are very often included in this simulator. It's not on there yet, but check back. I do not know the programmer / designer of this simulator, so I don't know who to give credit to but it's awesome!

_________________
Call me Seth :)

Crazy2Face & Crazy3Face Puzzle Spreadsheet
Named 3x3x3 Bandaging Patterns


Top
 Profile  
 
Display posts from previous:  Sort by  
Post new topic Reply to topic  [ 15 posts ] 

All times are UTC - 5 hours


Who is online

Users browsing this forum: monkeyman, psbot [Picsearch], rakaCN and 9 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