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 Post subject: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 5:10 am 
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Today I can show the largest 3x3xn Twisty puzzle of the world.

Greg designed it 4 weeks ago. This was the first cuboid in the series.

It will be available at my shapeways shop and the stickers you can order at Olivers shop.

Video: http://www.youtube.com/watch?v=q0KPBzC6Xk8

The largest cube with the smallest cat I have.
Attachment:
's 3x3x14 with cat (4).JPG
's 3x3x14 with cat (4).JPG [ 1.71 MiB | Viewed 4461 times ]

Attachment:
's 3x3x14 (3).JPG
's 3x3x14 (3).JPG [ 1.77 MiB | Viewed 4461 times ]

Attachment:
's 3x3x14 (4).JPG
's 3x3x14 (4).JPG [ 1.98 MiB | Viewed 4461 times ]

Attachment:
's 3x3x14 (5).JPG
's 3x3x14 (5).JPG [ 1.81 MiB | Viewed 4461 times ]

Attachment:
's 3x3x14 (6).JPG
's 3x3x14 (6).JPG [ 1.8 MiB | Viewed 4461 times ]


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 5:31 am 
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I'm glad this doesn't shape shift, that tower of single cubies sticking out would be terrifying to see :shock: Nice puzzle by the way.

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 5:43 am 
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I hope you give your cats a scratch-pole. Restickering that puzzle seems staggering :lol:
Nice puzzle. Does it turn well? I cannot judge from the rather slow turns in the video :roll:

Per

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 6:32 am 
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Location: Chicago,
Keep it up Greg!
How long did it take you to assemble and sticker?

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 6:33 am 
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Very very very very very very very very very very very very very very nice.

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 10:58 am 
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Buh.. Buh... Buh... WAH!!
Does it shapeshift?

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 11:16 am 
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Letti wrote:
Buh.. Buh... Buh... WAH!!
Does it shapeshift?

It shouldn't since it's odd to even symmetry.
Regard less, it looks amazing!


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 11:31 am 
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Location: Koblenz, Germany
Once again I want to ask:

Edge length?
Weight?


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 1:23 pm 
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Letti wrote:
Buh.. Buh... Buh... WAH!!
Does it shapeshift?

No it doesn't.

I'm Amazed I thought 11 was alot, what's next for you Greg?


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 1:37 pm 
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Letti wrote:

Does it shapeshift?


A cuboid is capable of shape changing when ( two or more edge unit lengths are different and odd ) or ( two or more edge unit lengths are different and even ) excluding cuboids with a side of one.

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 1:42 pm 
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Your cat looks as amazed as I am :wink:


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 2:29 pm 
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Location: Chichester, England
These puzzles are starting to get crazy now. I can only assume that there is a 3x3x12 and 3x3x13 in the making.

Oh, and awesome work guys!

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 2:36 pm 
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Make a 4x4x14 now and you have 3 nxnx14s
This will be on Shapeways, right?

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 4:06 pm 
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This is out of control :lol:

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 4:19 pm 
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Man these cuboids will never get any smaller :lol: Will you make any puzzles larger than this one?

ducttapedawg

P.S. I love your cat :D

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Feb 24, 2012 11:17 pm 
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Location: St. Louis, Missouri
Wow!


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Sat Feb 25, 2012 5:24 pm 
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Location: Spijkenisse, the Netherlands
Wow Greg, that is one big puzzle!

And Claus: You told us these puzzles are missing from your collection. I thought you meant filling the gaps in your logical collection, but I can't think of any series where this one would be 'missing'!

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Sun Feb 26, 2012 11:27 am 
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Sjoerd, I filled the gaps of the 4x4x8 and 4x4x9 this week. The 3x3x14 was a bonus.


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Sun Feb 26, 2012 1:01 pm 
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Now I understand why you have ordered so many 3x3x3 stickers. :D

When will you show us your complete cuboid collection?
Or there is no chance that it will be complete at any time? :wink: :lol:

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Sun Feb 26, 2012 1:36 pm 
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Oliver, you are one of the guys who know exactly what will coming out in the next two weeks.
On Tuesday I will show two more highlights (one world record).

After all I will show a uncomplete cuboid family picture!!


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Sun Feb 26, 2012 2:23 pm 
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clauswe wrote:
Oliver, you are one of the guys who know exactly what will coming out in the next two weeks.

Yes, I know what you will reveal (Or at least some of them). And that's the one I like the most in this job / hobby. But some times when I receive a template I can't imagine what will the puzzle look like.
Or like in this case, You only order simple 3x3x3 sets, but the outcome is something really different.

clauswe wrote:
After all I will show a uncomplete cuboid family picture!!

I cant wait to see it.

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Mon Feb 27, 2012 10:06 am 
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I hope that world record will be the 4x4x14! Shapeshifting included! :twisted:

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Mon Feb 27, 2012 10:09 am 
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Sorry Letti.

The cuboid I will show tommorrow will have 70 cubies more and doesn't shapeshift.


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Mon Feb 27, 2012 5:12 pm 
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Letti wrote:
I hope that world record will be the 4x4x14! Shapeshifting included!

clauswe wrote:
The cuboid I will show tommorrow will have 70 cubies more and doesn't shapeshift.


Ok guys you all like a puzzle so I want to see a list of possibilities (before tomorrow). I don't want to spoil the surprise but Claus may have let his Main Coone out of the bag.

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Mon Feb 27, 2012 5:29 pm 
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Easy! It's a 1x5x14, 1x7x10, 2x5x7, 1x2x35 or a 1x1x70. Not-shapeshifting excludes the 2x5x7 so my bet is on the 1x2x35.
Edit: I misread, 70 cubies more. Let me think about that!

Well, it looks like there are not many cuboids that match Claus's description and they are:
1x8x23
1x4x46
1x2x92
1x1x184

Code:
candidates = [(x,y,z)|z<-[1..184],y<-[1..z],x<-[1..y]]
shapeshifting (x,y,z) = ( (even (x-y) && y/=x) || (even (z-y) && y/=z) || (even (z-x) && x/=z) ) && not (x == 1 || y == 1 || z == 1)
cubieCount (x,y,z) = x*y*z - ( ((x-2) `max` 0) * ((y-2) `max` 0) * ((z-2) `max` 0) )
possibleCuboids = filter (\x -> (cubieCount x) == (cubieCount (3,3,14)+70) && not (shapeshifting x)) candidates


They all seem rather unlikely to me. Claus, do you count internal cubies too? (so this one would have 3*3*14 cubies?) Then the candidates are 4x7x7, 1x14x14, 1x7x28, 2x2x29, 1x4x29, 1x2x19. 4x7x7 seems more likely to me.

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Mon Feb 27, 2012 6:28 pm 
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TomZ wrote:
Easy! It's a 1x5x14, 1x7x10, 2x5x7, 1x2x35 or a 1x1x70. Not-shapeshifting excludes the 2x5x7 so my bet is on the 1x2x35.
Edit: I misread, 70 cubies more. Let me think about that!

Well, it looks like there are not many cuboids that match Claus's description and they are:
1x8x23
1x4x46
1x2x92
1x1x184

Code:
candidates = [(x,y,z)|z<-[1..184],y<-[1..z],x<-[1..y]]
shapeshifting (x,y,z) = ( (even (x-y) && y/=x) || (even (z-y) && y/=z) || (even (z-x) && x/=z) ) && not (x == 1 || y == 1 || z == 1)
cubieCount (x,y,z) = x*y*z - ( ((x-2) `max` 0) * ((y-2) `max` 0) * ((z-2) `max` 0) )
possibleCuboids = filter (\x -> (cubieCount x) == (cubieCount (3,3,14)+70) && not (shapeshifting x)) candidates


They all seem rather unlikely to me. Claus, do you count internal cubies too? (so this one would have 3*3*14 cubies?) Then the candidates are 4x7x7, 1x14x14, 1x7x28, 2x2x29, 1x4x29, 1x2x19. 4x7x7 seems more likely to me.


We also know that there is factually a 50% chance it will be a world record. Since we are talking a lot of cubies I think we can raise this probability higher.
Are we certain if Claus meant 70 more cubies than the 3x3x14 or 4x4x14?

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Tue Feb 28, 2012 12:09 am 
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Noe of those match because Claus made a slight mistake. If you count the mechanism, it has 100 pieces more (103 without internal bandageing for misalignment correction)
It has 70 more *external* pieces.

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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Mar 02, 2012 3:31 pm 
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Very nicenice cat!!! :lol: :lol:
and the cuboid too....looks awesome work!!!! :P


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 Post subject: Re: Greg's 3x3x14 World record
PostPosted: Fri Mar 02, 2012 4:16 pm 
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Great zet of cuboids! I believe the world is still waiting for a twisty puzzle of an order higher than 23.

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