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 Post subject: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 3:37 am 
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In another thread I posted:

The puzzle will have 70 cubies more than Letti's favorite (4x4x14) and it doesn't shapeshift.

I don't count the pieces I calculate the cubies. Therefore the new cuboid will have 294 cubies.

The primes are: 2, 3, 7, 7

I think a 1xnxm are bored or to much fragile, or impossible like a 1x14x21. Tom, Greg, Oskar or Mark please show us that I am wrong.

If you combine the number 2 with one of the 7, two sides are count 3 and 7 cubies, both are odd. Then the puzzle can shapeshift. Not true.

If you combine the diggit 3 with one of the 7, two sides are count 7 and 21 cubies, both are odd. Also impossible.

Therefore you have combine teh 2 with the 3.

Here is the biggest cuboid of the world:

Greg's 6x7x7

Video: http://www.youtube.com/watch?v=kf3YAvLMS-s

I want to show it with my 4th cat, a wildcat. But I didn't found the cat this morning in my home.

Attachment:
's 6x7x7 cuboid.JPG
's 6x7x7 cuboid.JPG [ 1.24 MiB | Viewed 3232 times ]

Attachment:
's 6x7x7 cuboid (2).JPG
's 6x7x7 cuboid (2).JPG [ 1.3 MiB | Viewed 3232 times ]

Attachment:
's 6x7x7 cuboid (3).JPG
's 6x7x7 cuboid (3).JPG [ 1.17 MiB | Viewed 3232 times ]


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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 4:01 am 
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clauswe wrote:
Here is the biggest cuboid of the world:

Greg's 6x7x7
Perhaps, but for how long? :wink: Please Greg and Claus, have mercy on us, take a rest from churning out cuboids like rabbits on Viagra!

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 6:19 am 
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Oh my goodness! Your rabbit's kids are on steroids :D

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 8:14 am 
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Claus, pleas stop making us sad that you have so many awesome puzzles.

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 8:24 am 
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This is awesome. :D Congratulations on the world record. :) until you make something bigger. :shock: :wink:

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 8:55 am 
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Yay!
That looks awesome!
7x7x8 soon?
Family picture?

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 10:36 am 
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clauswe wrote:
Here is the biggest cuboid of the world:


Cool thing, but isn't the 17x17x17 the biggest cuboid?


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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 11:39 am 
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I note that Rob's updated his cuboids list as of today, including this puzzle:

http://www.robspuzzlepage.com/rearrangement.htm#cuboids

It adds a new "cross-section versus number of layers" table below as well, which more easily shows gaps. Confusingly, it has a column for 3x1 but not 3x2. (Both of which are entirely redundant, if I'm reading it correctly). It also somewhat necessarily has redundancy, e.g. 3x3/6 and 3x6/3. IMHO, the grid should be "blacked out" in the case where the # of layers is less than the order of the cross section. This would make the top of the graph have a zig-zag appearance, but more clearly highlight the gaps and unique puzzles.

But overall, I agree that "by cross section" is easier to visualize than a strict L<=M<=N ordering, given how e.g. the "2x2", "3x3", "4x4" and so on feel like families. I'm guessing ClausWe agrees. :)

Thanks Rob!


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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 12:54 pm 
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EMI94100 wrote:
Cool thing, but isn't the 17x17x17 the biggest cuboid?


While cubes are a special case of a cuboid, I am guessing Claus is referring to only non-cubic cuboids when he calls this the biggest cuboid.

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 1:14 pm 
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clauswe wrote:
I want to show it with my 4th cat, a wildcat. But I didn't found the cat this morning in my home.

I don't need a cat. I need the puzzle lying on a scale!

To be serious:
What is this monsters edge length?
What is its weight?
Please note that this cuboid does not qualify for the number you already gave me. Strange problem, isn't it?

Andreas


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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 4:10 pm 
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When you said, world's largest cuboid, do you mean by volume or order?
Technically, the 3x3x14 and 7x7x6 are the same "size" (order).
7+7+6=20
3+3+14=20
Well, I guess since they're tied, volume is what matters.
Still, Nice job! :D

ducttapedawg

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 8:30 pm 
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All we need now is the shapeshifting 7x7x9! That would be a beast to solve though-not sure I want to think about it. :)


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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Tue Feb 28, 2012 9:05 pm 
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77mouser wrote:
All we need now is the shapeshifting 7x7x9! That would be a beast to solve though-not sure I want to think about it. :)

With Greg trapped in Claus's basement, :lol: it's bound to happen. :wink: Well, I at least hope it becomes reality. Man, it must be fun to have a puzzle slave. :lol: Does anyone know where Oskar is right now?... :lol:

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Wed Feb 29, 2012 3:49 am 
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I tried to make a scale on the cat............

After the doctor has vetted me I take a ruler.

Here the results:

The cubies of the 377 are 19mm. In total 13,3 mm x 5,7 mm and a weight of 230 grams.

The cubies of the 677 are 12mm. In total 8,4 mm x 7,2 mm and a weight of 260 grams.


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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Wed Feb 29, 2012 4:14 am 
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are you gonna get tomz's 6x6x7 before your "almost complete" cuboid family picture?

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 Post subject: Re: my announced puzzle - worlds biggest cuboid
PostPosted: Wed Feb 29, 2012 4:25 am 
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Sigurd, what a question?

Yes!!!!!!!!!!!!!!!!!!!!!! I ordered immedeately.


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