h a l f b a k e r y
The phrase 'crumpled heap' comes to mind.
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Lego, but with the blob spacing exactly the square root of 2
times bigger than
usual, so that it links with normal Lego, but at a 45°
Diamond Shreddies -> Diamond Lego?
Could the same concept be applied to Lego, thus baking the idea? [AntiQuark, Mar 05 2011]
[Ling, Mar 14 2012]
Lego Geometry Document (MS Office .doc Format)
[zen_tom, Mar 14 2012]
Badass Lego Guns
The (very good) book "Badass Lego Guns" has an excellent diagram of all the angles that 'Technical Lego' struts can be made to interconnect. This is what [Alterother] means. It's not quite the same as this idea though. [hippo, Mar 14 2012]
||Hippasus got a raw deal. [+]
||Just make them N-dimensional. Easy!
||Erm, *pure* genius. Here's a V¯2 croissant [x]
||What, and how much would the machine cost that
you'd need to injection-mould a whole bunch of
||I like the ideo of an art project that riffs on legos. There are enough lego ideas on the HB to fill a category.
||Firstly, there are already Lego pieces that connect at 45
degrees and many other angles on several axes, and
secondly, isn't the square root of two an irrational number?
||There are, but they don't allow the continuation
of an angled side. So if you imagine a base of
100x100 studs - you can only place bricks
orthagonally - but a piece with root2 spacing on
its base and regular spacing on its surface, you'd
be able to start off a diagonal wall.
||Other piece types might include ones that
translate from regular bottoms to root2'd tops,
and various mitred arrangements for dealing with
the connections between straight and diagonally
||On the second point [Alterother] - yes it is - but
then so is pi,
and that hasn't stopped us from successfully
enjoying wheels, biscuits and other circular
||I think I see what you're getting at, but (I may be wrong)
you still can't build a physical model of an irrational
number. It would be like trying to make the spacing aspect
||No, fair enough, there's always going to be some
tolerance - but root2 is the ideal if you want to
create a range of bricks that would be integrated
with the larger system.
||I think you'd need to also introduce a new range of
bricks with normal spacing tops and bottoms, but
who's lengths were multiples of root2. So if there's
currently bricks of length 1, 2, 4, 8 and 16 - you
might also want to introduce ones of 1V¯2, 2V¯2,
4V¯2 etc which would allow you create neat
diagonally (i.e. NE, NW, SE, SW) oriented walls
who's edges would line
up (perhaps with neat little mitres) nicely with
traditional (N,E,S,W) walls.
||Sorry--I know you can get it really close, but I'm a stickler
when it comes to practical geometry. Too much fabrication
and machining will do that to you.
||The idea is good, but
unless I'm entirely missing the point I still think it's doable
with regular Lego. It might require some hard-to-find or
discontinued pieces; I haven't messed around with them
since the '90s. I can't remember what they were called, but
the special bricks with the rows of holes all along could be
configured in almost any position using the little connector
pegs. Of course, using those to build a multiaxial structure
might get pretty bulky. Your way would be much more