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

TwistyPuzzles.com Forum
 It is currently Fri Jul 25, 2014 10:25 am

 All times are UTC - 5 hours

 Page 1 of 1 [ 10 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: Fractured CubePosted: Fri Nov 02, 2012 2:05 pm

Joined: Wed Dec 10, 2008 6:26 pm
Location: Boston area
Hello Everyone,

I'm happy to introduce my latest puzzle, the Fractured Cube:
Attachment:

Vertex Type 1.JPG [ 201.54 KiB | Viewed 2488 times ]
Fractured Cube is based on the geometry of the tetrakis hexahedron. It has 24 sides, and it is a jumbling, but not shape-shifting puzzle. It turns on eight axes, once located at each vertex showing six-way symmetry. Each axis can turn in increments of 60 degrees. But most often 60 degree turns will block adjacent axes, so 120 degree turns need to be used unless the axis being turned has all of the edges pointing in the proper direction.

The parts for the puzzle actually could have been arranged in a couple of different ways, but they could not have been arranged to create complete symmetry. I chose to orient the edges such that at the start there are four axes with one edge flipped, and four axes with two edges flipped. This creates four "faces" with a windmill pattern, and the other two faces show a symmetrical (butterfly?) pattern.

Here is the video of Fractured Cube.

You can buy Fractured Cube in my Shapeways shop.

Here are a few more pictures of the puzzle:
Attachment:

Vertex Type 2.JPG [ 198.63 KiB | Viewed 2488 times ]
Attachment:

Windmill Face.JPG [ 214.52 KiB | Viewed 2488 times ]
Attachment:

Symmetric Face.JPG [ 197.39 KiB | Viewed 2488 times ]
Attachment:

One Turn.JPG [ 200.38 KiB | Viewed 2488 times ]
Attachment:

Mid Turn.JPG [ 203.87 KiB | Viewed 2488 times ]
Attachment:

60 Degree Turn.JPG [ 203.12 KiB | Viewed 2488 times ]
Attachment:

Multiple Turns.JPG [ 213.67 KiB | Viewed 2488 times ]

Enjoy!
Dave

_________________
Visit Pitcher Puzzles where you can buy the IPP award-winning RotoPrism 2, Fracture-10, and many, many more.

Top

 Post subject: Re: Fractured CubePosted: Fri Nov 02, 2012 2:52 pm

Joined: Mon Jun 14, 2010 6:59 pm
Location: Crestwood, IL
I really like this one! It looks like it would be very confusing to solve and boggles the mind just looking at it. So beautiful!

Top

 Post subject: Re: Fractured CubePosted: Fri Nov 02, 2012 2:56 pm

Joined: Sun May 29, 2011 2:56 pm
Location: New York
I also really like this. This would be a beast to solve.

-Doug

_________________

Recent videos: Master Axis Cube | 4x4x2 Solve | 3x3x3 Triangular Prism

Top

 Post subject: Re: Fractured CubePosted: Fri Nov 02, 2012 4:02 pm

Joined: Sat Apr 21, 2007 11:21 pm
Location: Marin, CA
David, all your puzzles are great and this is no exception. You keep making me want to switch to black puzzles.
It wasn't obvious to me that a symmetrical version couldn't be made, but I see why now after mentally walking around the shape a little.

I really like this.

_________________
Jason Smith posted here as 'io' through 2012.
Visit Jason Smith's PuzzleForge on Shapeways!
Jason Smith's Puzzles - YouTube Channel.

Top

 Post subject: Re: Fractured CubePosted: Fri Nov 02, 2012 4:48 pm

Joined: Thu Dec 31, 2009 8:54 pm
Location: Bay Area, California
Beautiful! I'm not sure I quite follow the geometry of this just yes so I'll have to think about it some more.

It reminds me of Eric Vergo's Compound Crystal which is another beauty.

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

Top

 Post subject: Re: Fractured CubePosted: Fri Nov 02, 2012 6:10 pm

Joined: Thu Dec 02, 2004 12:09 pm
Location: Missouri
io wrote:
David, all your puzzles are great and this is no exception.
I totally agree. This looks great!

Carl

_________________
-

Top

 Post subject: Re: Fractured CubePosted: Fri Nov 02, 2012 9:00 pm

Joined: Mon Aug 18, 2008 10:16 pm
Location: Somewhere Else
Can you explain why it jumbles? It looks unbandageable to me but I'm probably missing something.

Top

 Post subject: Re: Fractured CubePosted: Sat Nov 03, 2012 8:55 pm

Joined: Tue Oct 13, 2009 10:27 pm
Location: Philippines, Tacloban City
Awesome! Why?! Why!? Why?! Why your puzzle gets mass produced?

_________________
-Rex Rossano Perez

FB Account
Puzzle Lust

Top

 Post subject: Re: Fractured CubePosted: Sat Nov 03, 2012 9:15 pm

Joined: Tue Feb 08, 2011 3:17 am
Location: Australia
This is a real showstopper isn't it? Masterpiece.

_________________
1st 3x3 solve Oct 2010 (Even though I lived through the 80s).
PB 3x3 55sec Jan 2011 (When I was a kid 1:30 was speedcubing so I'm stoked).
1st 3x3 Earth (nemesis) solve Jan 2011 My You Tube (Now has ALLCrazy 3X3 Planets with Reduction)

Top

 Post subject: Re: Fractured CubePosted: Sun Nov 04, 2012 10:49 am

Joined: Wed Dec 10, 2008 6:26 pm
Location: Boston area
Thanks for all the kind words, they are always so nice to read!

Jared wrote:
Can you explain why it jumbles? It looks unbandageable to me but I'm probably missing something.
Sure thing. The proof is similar to the jumbling proof for the QuadStar puzzle. Here is an image of one face of the Fractured Cube, with a few additional cuts:
Attachment:

jumbling proof.JPG [ 60.97 KiB | Viewed 2076 times ]
As you can see, the new cuts do not line up to create equal size and shaped pieces. In order for the puzzle to be unbandaged, the cut lines shown would need to form a five-pointed star, but the proportions of the triangular faces do not allow this.
io wrote:
It wasn't obvious to me that a symmetrical version couldn't be made, but I see why now after mentally walking around the shape a little.
Interestingly, you could arrange the pieces so that every "face" has the same pattern (in this case the "butterfly" pattern). Four corners would have three edges reversed, and four would have no edges reversed. Even though it might seem like a more appealing starting pattern (being somewhat more symmetrical), this would prohibit the three correctly oriented edges at the four axes with three edges reversed from ever becoming scrambled, since those four axes would be permanently limited to 120 degree moves.

_________________
Visit Pitcher Puzzles where you can buy the IPP award-winning RotoPrism 2, Fracture-10, and many, many more.

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 10 posts ]

 All times are UTC - 5 hours