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 Building / Schleim / 80
Subject: 
Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Thu, 25 Mar 2004 18:23:30 GMT
Viewed: 
2054 times
  
So, out of curiosity, I started toying around with the smallest possible
Lego-cube that is smooth on all sides. IE no studs, stud holes, technic pin
holes, etc showing on any of the 6 faces.

Getting a 6x6x6 stud cube wasn't too hard... a 5x5x5 was tricky, but doable, and
a 4x4x4 was similarly tricky but doable. But try as I might, I couldn't get a
smaller one.

So, challenge time: What's the smallest smooth cube you can build? And what's
the fewest pieces you can do it in? (My 4x4x4 cube took 23 pieces, although it
could be built flimsily with 21 pieces).

DaveE


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Thu, 25 Mar 2004 23:12:39 GMT
Viewed: 
2041 times
  
In lugnet.build.schleim, David Eaton wrote:
So, out of curiosity, I started toying around with the smallest possible
Lego-cube that is smooth on all sides. IE no studs, stud holes, technic pin
holes, etc showing on any of the 6 faces.

Getting a 6x6x6 stud cube wasn't too hard... a 5x5x5 was tricky, but doable,
and a 4x4x4 was similarly tricky but doable. But try as I might, I couldn't
get a smaller one.

Great challenge, Dave!  I gave this a shot for about 45 minutes.
I made a 3x3x3...but it has two tiny square holes (4x4 LDU)  It uses 18 parts.

So, challenge time: What's the smallest smooth cube you can build? And what's
the fewest pieces you can do it in? (My 4x4x4 cube took 23 pieces, although it
could be built flimsily with 21 pieces).

Hmm, my 4x4x4 took 24 pieces, but it's very sturdy.  Half of those are 2x2 tiles
though.  It isn't very complicated at all...not nearly as tricky as the 5x5,
IMO.  I can think of a way to do the 4x4 in about 16 pieces, but it uses
non-traditional connection methods (ie, doesn't use studs)  Once you have the
5x5, anything bigger is a breeze.

My 5x5x5 is kinda flimsy, but then again I didn't tinker with it very long.
It'd be interesting to see how ours compare.

I also figured out a way to do a 6x6 using 32 pieces with all legitimated stud
connections, but I didn't build it.  Again, half of those are tiles.
--Bram


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Fri, 26 Mar 2004 01:12:07 GMT
Viewed: 
2092 times
  
In lugnet.build.schleim, Bram Lambrecht wrote:
Great challenge, Dave!  I gave this a shot for about 45 minutes.
I made a 3x3x3...but it has two tiny square holes (4x4 LDU)  It uses 18 parts.

Oops...that's not quite true.  It's actually 2.8 x 2.8 x 3 studs:
http://asphodel.org/bsv/?path=bl/misc/Schleim
My 4 and 5 stud ones are exact though :)
--Bram


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 04:17:27 GMT
Viewed: 
2096 times
  
In lugnet.build.schleim, Bram Lambrecht wrote:
In lugnet.build.schleim, David Eaton wrote:
So, out of curiosity, I started toying around with the smallest possible
Lego-cube that is smooth on all sides. IE no studs, stud holes, technic pin
holes, etc showing on any of the 6 faces.

Getting a 6x6x6 stud cube wasn't too hard... a 5x5x5 was tricky, but doable,
and a 4x4x4 was similarly tricky but doable. But try as I might, I couldn't
get a smaller one.

Great challenge, Dave!  I gave this a shot for about 45 minutes.
I made a 3x3x3...but it has two tiny square holes (4x4 LDU)  It uses 18
parts.

Closer than I got! That's pretty cool...

So, challenge time: What's the smallest smooth cube you can build? And
what's the fewest pieces you can do it in? (My 4x4x4 cube took 23 pieces,
although it could be built flimsily with 21 pieces).

Hmm, my 4x4x4 took 24 pieces, but it's very sturdy.  Half of those are 2x2
tiles though.  It isn't very complicated at all...

Yeah, mine turned out uber-simple:
http://www.suave.net/~dave/images/4x4x4cube.jpg
(minus 1 1x4 brick to expose the inner headlight bricks, and minus 2 headlight
bricks (not really necessary) for a lower piece count)

I can think of a way to do the 4x4 in about 16 pieces, but it uses
non-traditional connection methods (ie, doesn't use studs)

Ooo, neat! You'll have to share!

Once you have the 5x5, anything bigger is a breeze. My 5x5x5 is kinda
flimsy, but then again I didn't tinker with it very long. It'd be
interesting to see how ours compare.

The 5x5x5 I build is pretty dinkily flimsy. Rather than Ldraw the whole thing,
here's the only interesting bit:

http://www.suave.net/~dave/images/5x5x5cube.jpg

So quite a few bits that are only held on by a single stud...

I also figured out a way to do a 6x6 using 32 pieces with all legitimated
stud connections, but I didn't build it.  Again, half of those are tiles.

Using a similar method to my 4x4x4, the minimum piece count I can get for a
6x6x6 is 29 pieces (again, pretty flimsy-- can add 2 pieces and make it at least
not so flimsy as to fall apart in your hand)

DaveE


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 04:20:52 GMT
Viewed: 
2132 times
  
In lugnet.build.schleim, Bram Lambrecht wrote:
In lugnet.build.schleim, Bram Lambrecht wrote:
Great challenge, Dave!  I gave this a shot for about 45 minutes.
I made a 3x3x3...but it has two tiny square holes (4x4 LDU)  It uses 18 parts.

Oops...that's not quite true.  It's actually 2.8 x 2.8 x 3 studs:
http://asphodel.org/bsv/?path=bl/misc/Schleim
My 4 and 5 stud ones are exact though :)
--Bram

Doh! Yeah, I got a 3x3x3 that had 4 studs poking out, that was as close as I was
able to get...

DaveE


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 06:10:43 GMT
Viewed: 
2192 times
  
In lugnet.build.schleim, David Eaton wrote:
Yeah, mine turned out uber-simple:
http://www.suave.net/~dave/images/4x4x4cube.jpg
(minus 1 1x4 brick to expose the inner headlight bricks, and minus 2 headlight
bricks (not really necessary) for a lower piece count)

I can think of a way to do the 4x4 in about 16 pieces, but it uses
non-traditional connection methods (ie, doesn't use studs)

Ooo, neat! You'll have to share!

Ok, here are mine:
http://asphodel.org/bsv/?path=bl/misc/Schleim/Cubes

First is the minimum pieces 4x4x4, but it's kind of cheating.
Next are the exploded and unexploded views of the center of the sturdy 4x4x4
that I actually built.

The 5x5x5 I build is pretty dinkily flimsy. Rather than Ldraw the whole thing,
here's the only interesting bit:
http://www.suave.net/~dave/images/5x5x5cube.jpg

Ok, so that's the center 5x5x1 section plus the attachment for the top and or
bottom which are built studs up, 5x5 bricks x 5 plates?  The connection for the
top seems unneccesarily complicated...unless your design is actually a bit more
complicated.  I can think of a few ways to make it much sturdier...think I
might...

For my 5x5x5 (see link above) build 5b x 1b x 10p walls around the red pieces,
and tile over the gray parts, and stick it all together...not too sturdy either.

I also figured out a way to do a 6x6 using 32 pieces with all legitimated
stud connections, but I didn't build it.  Again, half of those are tiles.

Using a similar method to my 4x4x4, the minimum piece count I can get for a
6x6x6 is 29 pieces

A 6x6x6 could easily be made like the first 4x4x4 above.  Or you can make one
using just 3 unique parts:
24 x 1x6 tile
4 x 4x6 brick
8 x headlight brick

--Bram


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 06:34:18 GMT
Viewed: 
2235 times
  
In lugnet.build.schleim, Bram Lambrecht wrote:
I can think of a few ways to make it much sturdier...
think I might...

OK...got it...but I don't feel like LDrawing anymore :P

A 6x6x6 could easily be made like the first 4x4x4 above.  Or you can make one
using just 3 unique parts:
24 x 1x6 tile
4 x 4x6 brick
8 x headlight brick

whoops...
and 4 x 4x6 plate

--Bram


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 18:40:20 GMT
Viewed: 
2092 times
  
In lugnet.build.schleim, David Eaton wrote:


So, challenge time: What's the smallest smooth cube you can build? And what's
the fewest pieces you can do it in? (My 4x4x4 cube took 23 pieces, although it
could be built flimsily with 21 pieces).


I actually didn't think I would be able to do it but I stumbled upon this
configuration for a 2x2, smooth cube with four pieces.

http://www.brickshelf.com/gallery/smartiac/Rendered/2x2cube/2x2cube.jpg

http://www.brickshelf.com/gallery/smartiac/Rendered/2x2cube/2x2ldr.jpg


Enjoy,

Nathan


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 18:59:25 GMT
Viewed: 
2302 times
  
In lugnet.build.schleim, Bram Lambrecht wrote:
In lugnet.build.schleim, Bram Lambrecht wrote:
I can think of a few ways to make it much sturdier...
think I might...

OK...got it...but I don't feel like LDrawing anymore :P

http://www.brickshelf.com/gallery/bl/misc/Schleim/Cubes/5x5x5_2.png

Quite sturdy.
--Bram


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 19:13:41 GMT
Viewed: 
2033 times
  
My challenge was even more challenging: building a die with smooth tiles on all six sides.

You may have missed it when I announced it on Fri, 21 Nov 2003 (I didn’t know there was a schleim-newsgroup).

I started with a 9x9x9 die, very soon followed by a 7x7x7 die. In the end I managed to make it 5x5x5.

All together:



Go to my webpage for more pictures.

Schleim on

Maarten


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 20:26:58 GMT
Viewed: 
2177 times
  
In lugnet.build.schleim, Nathan Proudlove wrote:
I actually didn't think I would be able to do it but I stumbled upon this
configuration for a 2x2, smooth cube with four pieces.

It doesn't quite work.  The flange on the stud-pin leaves a gap between the
brick and the lower tile.


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 20:47:42 GMT
Viewed: 
2247 times
  
In lugnet.build.schleim, Bram Lambrecht wrote:
Ok, so that's the center 5x5x1 section plus the attachment for the top and or
bottom which are built studs up, 5x5 bricks x 5 plates?  The connection for
the top seems unneccesarily complicated...unless your design is actually a
bit more complicated.

Heh, that's what I get for toying around and calling "done" the first thing that
worked. :) I hadn't even thought of that until just now, but yeah, could easily
reduce that mess of 5 pieces down to a single 1x1 with side studs on its side...
Durh.

DaveE


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 22:11:01 GMT
Viewed: 
2289 times
  
In lugnet.build.schleim, David Laswell wrote:
   In lugnet.build.schleim, Nathan Proudlove wrote:
   I actually didn’t think I would be able to do it but I stumbled upon this configuration for a 2x2, smooth cube with four pieces.

It doesn’t quite work. The flange on the stud-pin leaves a gap between the brick and the lower tile.

Yeah, I’ve tried that technique before (for a different project) and noticed the same gap. How about using a small bit of flex tubing inside a bit of pneumatic tubing like so:



No gap:



And, it’s still technically 100% Lego, though I can understand that some people would feel inclined to frown upon this type of solution... :-)

Mark


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sun, 28 Mar 2004 04:05:41 GMT
Viewed: 
2892 times
  
In lugnet.build.schleim, Mark Riley wrote: snip
   Yeah, I’ve tried that technique before (for a different project) and noticed the same gap. How about using a small bit of flex tubing inside a bit of pneumatic tubing like so:

snip

No gap:

snip

And, it’s still technically 100% Lego, though I can understand that some people would feel inclined to frown upon this type of solution... :-)

Mark

Bram and I were discussing this and we had both came up with this modification.

If you take 4 1x1 tiles and put them end on into one of the 2x2 tiles you can use them to attach the tile to the brick.





This isn’t a standard stud to tube connection but it can be sturdy. Seems to be variable depending on who builds it and other vagaries. I’ve rolled one as dice while another fell apart.

Dan


Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sun, 28 Mar 2004 04:13:35 GMT
Viewed: 
2744 times
  
In lugnet.build.schleim, Dan Sabath wrote:
   In lugnet.build.schleim, Mark Riley wrote: snip
   Yeah, I’ve tried that technique before (for a different project) and noticed the same gap. How about using a small bit of flex tubing inside a bit of pneumatic tubing like so:

snip

No gap:

snip

And, it’s still technically 100% Lego, though I can understand that some people would feel inclined to frown upon this type of solution... :-)

Mark

Bram and I were discussing this and we had both came up with this modification.

If you take 4 1x1 tiles and put them end on into one of the 2x2 tiles you can use them to attach the tile to the brick.





This isn’t a standard stud to tube connection but it can be sturdy. Seems to be variable depending on who builds it and other vagaries. I’ve rolled one as dice while another fell apart.

Wow, that’s clever. Nice work!

So I am wondering if it is even possible to go smaller. The geometric ratio seems to suggest not, but then I keep thinking that’s the smallest you can go and someone goes smaller.


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