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Subject: 
Re: Smallest smooth cube challenge
Newsgroups: 
lugnet.build.schleim
Date: 
Sat, 27 Mar 2004 04:17:27 GMT
Viewed: 
2097 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



Message has 1 Reply:
  Re: Smallest smooth cube challenge
 
(...) Ok, here are mine: (URL) 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. (...) bottom which are built studs up, 5x5 bricks x 5 plates? (...) (20 years ago, 27-Mar-04, to lugnet.build.schleim)

Message is in Reply To:
  Re: Smallest smooth cube challenge
 
(...) 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. (...) Hmm, my 4x4x4 took 24 pieces, but it's very sturdy. Half of those are 2x2 tiles though. It (...) (20 years ago, 25-Mar-04, to lugnet.build.schleim)

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