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Oskar

Post subject: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 8:22 am 

Joined: Mon Nov 30, 2009 1:03 pm

Hi Twisty Puzzles fans, Fractal Cube is a fractal twisty puzzle. Whereas the HCube and Grid Cube concepts are not easily extensible to higher orders, Fractal Cube is! Its core is a regular 1x2x2. Dovetailed pieces are added to build a 1x2x4. At both ends, more dovetailed pieces are added to construct a 1x2x6 at each end. And at each of the four new ends, even more dovetailed pieces are added in a 1x2x4 way. This turns the puzzle into a thirdorder fractal. From a design point of view, it would not be too difficult to build a higher order Fractal Cube. It is just that every next higher order doubles the number of pieces and hence the cost of the prototype. Fractal Cube plays like a transformer. You can build all kind of standing and walking shapes. The "Robocop" shape is my favourite. But it is a twisty puzzle too, where all of the 16 end pieces and other pieces can be interchanged with eachother. Scramble and solve, which is quite a complex logistic operation. Watch the YouTube video. Buy the puzzle from my Shapeways Shop. Read more at the Shapeways Forum. Check out the photos below. Enjoy! Oskar Attachment:
Fractal Cube  prototype  view 1.jpg [ 54.83 KiB  Viewed 3676 times ]
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Fractal Cube  prototype  view 2.jpg [ 48.58 KiB  Viewed 3676 times ]
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Fractal Cube  prototype  view 3.jpg [ 51.1 KiB  Viewed 3676 times ]
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Fractal Cube  prototype  view 4.jpg [ 54.58 KiB  Viewed 3676 times ]
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Fractal Cube  prototype  view 5.jpg [ 53.45 KiB  Viewed 3676 times ]
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Fractal Cube  prototype  view 6.jpg [ 51.36 KiB  Viewed 3676 times ]
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Fractal Cube  prototype  view 7.jpg [ 44.06 KiB  Viewed 3676 times ]
_________________ Oskar's home page, YouTube, Shapeways Shop, Puzzlemaster, and fan club .
Last edited by Oskar on Sun Mar 14, 2010 8:40 am, edited 1 time in total.


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Kapusta

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 8:30 am 

Joined: Tue Mar 10, 2009 7:06 pm Location: Nowhere in particular.

Lol, Robocop. That's quite the unique puzzle, Oskar.
_________________ ~Kapusta
PB: At home (In Competition) 2x2 1.xx (2.88) 3x3 11.xx (15.81) 4x4 1:18.26 (1:24.63) 5x5 (3:00.02) 6x6 4:26.05 (6:34.68) 7x7 6:38.74 (9:48.81) OH (35.63)
Current Goals: 7x7 sub 6:30 4x4 sub 1:10


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APJ

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 9:13 am 

Joined: Sat Jul 11, 2009 1:09 pm Location: My House

This thing is quite brilliant. Alex
_________________ If I had £1,000,000 more, I'd be a Millionaire
YouTube Account: Cubiksrube113


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MonkeyZ

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 9:20 am 

Joined: Tue Aug 11, 2009 3:59 pm Location: NJ

I am confused! Awesome Job Oskar, Great puzzle!
_________________
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?


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Frank Tiex

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 9:49 am 

Joined: Sun Apr 30, 2006 4:17 am Location: Düsseldorf, Germany

"Unlucky Twist meets Spektra" = Robocop SpectraI guess, "binary twist operations" (I guess you know, what I have in mind, if you see the Spectra) will be the key to solve this puzzle. Nice concept again!
_________________ Contact me via gcd@tiex.de for more information about the German Cube Day.
Link to my website: Frank's Puzzle Library Please use puzzles@tiex.de to contact me. I disabled PMs.


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pirsquared

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 10:10 am 

Joined: Wed Jan 07, 2009 6:46 pm Location: Evanston, IL


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Oskar

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 10:16 am 

Joined: Mon Nov 30, 2009 1:03 pm

pirsquared wrote: ... Out of curiosity, how thin are those inner dovetail connections? They are 2 mm thick. Or actually 1.8 mm, as I offset all faces by 0.1 mm to enable smooth turning. Oskar


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DragonCuber

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 10:18 am 

Joined: Tue Jan 06, 2009 12:37 pm Location: UK

I think we need to redefine the word "cube" Brilliant work Oskar, you never fail to amaze. I really want to own one of your puzzles one day


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maarten

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 12:10 pm 

Joined: Mon Feb 02, 2009 3:50 pm


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alaskajoe

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 12:45 pm 

Joined: Mon Feb 06, 2006 12:52 am

It's a transformer! It got bored by all the vehicle transformers and felt that it couldn't keep up with them due to its small size. A remote controlled car transformer like thingy seemed also not cool enough. so it became an ultimate twisty puzzle! Good job finding this one Oscar. And it told you that it's name is Fractal Cube? Ha that's cool. Make sure it doesn't turn on you. It has lots of cubies to fire. Make sure it doesn't develop it's own computer mind to far. You better resticker it as soon as you get the impression it could be up to something bad. And most important: Don't lube it! Or it will get to strong. Or maybe spill all over your carpet or something. great puzzle! It's probably hard to even tell how to turn it back. Or scramble it furter. without braking anythin. Really cool!
_________________ Life is simple. eat. sleep. train. repeat.


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MeMyselfAndPi

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 3:25 pm 

Joined: Tue Sep 15, 2009 1:08 am Location: Great Falls, MT, USA

Man Oscar! You always blow my mind with all of these puzzles you produce! Do you ever try to solve them?


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flambore

Post subject: Re: Fractal Cube by OSKAR Posted: Sun Mar 14, 2010 7:51 pm 

Joined: Sun Apr 06, 2008 6:43 pm Location: right here

Kapusta wrote: Lol, Robocop. I was thinking Transformers.


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Oskar

Post subject: Re: Fractal Cube by OSKAR Posted: Wed Mar 17, 2010 3:49 pm 

Joined: Mon Nov 30, 2009 1:03 pm

There was some discussion on YouTube how the Fractal Cube is self similar. I hope that the pictures below provide sufficient clarification. Order 1 is the wellknown 1x2x4. By the way, I would be happy to build some higher order Fractal Cubes if someone would be willing to sponsor. You can calculate the approximate price with the following equation. Price for order N Fractal Cube = (Price for order 3 Fractal Cube by Shapeways) * 2^(N3) Oskar Attachment:
Fractal Cube  order 1.jpg [ 35.02 KiB  Viewed 3016 times ]
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Fractal Cube  order 2.jpg [ 40.65 KiB  Viewed 3016 times ]
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Fractal Cube  order 3.jpg [ 51.95 KiB  Viewed 3016 times ]
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Fractal Cube  order 4.jpg [ 62.34 KiB  Viewed 3016 times ]
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Fractal Cube  order 5.jpg [ 77.84 KiB  Viewed 3016 times ]


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qqwref

Post subject: Re: Fractal Cube by OSKAR Posted: Wed Mar 17, 2010 4:06 pm 

Joined: Sat Jan 22, 2005 12:12 pm Location: NY, USA

Ah, but Oskar, shouldn't the main axis of the puzzle become a 2x6 instead of a 2x4? The other axes change from 2x4 to 2x6 when you add on pieces. If you look at the number of pieces added the same pattern happens: order 2 adds 8 pieces, order 3 adds 24 pieces, order 4 adds 48, etc. I guess what I'm saying is that order 2 should add 12 instead of 8  or, order 1 should be just the 2x2 puzzle and not the 2x4, so that 12 pieces are added from order 1 to order 2. Either way would work, although I'd prefer to start with the 2x4 because then each long axis in the fractal has 6 'layers'. Anyway, I think this puzzle is much prettier with the fractally elongated pieces and with the gaps. The structure is nowhere near obvious on a solved Fractal Cube (with the original design), but with these pictures it is much more clear, and the puzzle is correspondingly more beautiful
_________________ My official times My youtube Puzzle Solving Service!  a puzzle that has never been scrambled and solved has been wasted.


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KelvinS

Post subject: Re: Fractal Cube by OSKAR Posted: Wed Mar 17, 2010 4:18 pm 

Joined: Mon Mar 30, 2009 5:13 pm

Oskar wrote: By the way, I would be happy to build some higher order Fractal Cubes if someone would be willing to sponsor. You can calculate the approximate price with the following equation. Price for order N Fractal Cube = (Price for order 3 Fractal Cube by Shapeways) * 2^(N3) How much would it cost to get my kitchen floor done with this?
_________________ If you want something you’ve never had, you’ve got to do something you’ve never done  Thomas Jefferson


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katsmom

Post subject: Re: Fractal Cube by OSKAR Posted: Wed Mar 17, 2010 9:19 pm 

Joined: Sun Apr 16, 2000 3:17 pm Location: Hong Kong


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Oskar

Post subject: Re: Fractal Cube by OSKAR Posted: Fri Mar 19, 2010 2:00 pm 

Joined: Mon Nov 30, 2009 1:03 pm

qqwref wrote: Ah, but Oskar, shouldn't the main axis of the puzzle become a 2x6 instead of a 2x4? Well, the true fractal pattern would probably start with a 1x2x2. In that case, your calculation would be correct. Order 2 = Order 1 + 12 cubies Order 3 = Order 2 + 24 cubies Order 4 = Order 3 + 48 cubies etcetera. Kelvin Stott wrote: How much would it cost to get my kitchen floor done with this? Which order Fractal Cube would you need? As mentionned, I am open to sponsors who are willing to finance a higher order Fractal Cube.


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