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"Paul Baulch" <paul@vic.bigpond.net.au> writes:
> I certainly haven't seen any sort of data like this posted on anyone's
> web pages.
I believe Eric Brok has something like this on his site.
> A few days ago I was sitting making different triangles using three 2x4
> brick-w/-hinge, and various lengths of 1xN plates.
Part of the difficulty of creating these triangles is how you make the
angles...for example, with Technic beams, you have to measure from the
center of one end hole to the center of the other. If you're using 1x2
plate hinges, the lengths of the sides are increased, etc.
> These length combinations are called Pythagorean Triads, or so my
> memory of schooling tells me.
I was taught Pythagorean Triples--same difference.
> I wrote a program that would search all combinations of triangles
> (of certain integral dimensions) and show me which ones were "close
> enough" to right-angled
Did you add an algorith to remove multiples? (I saw that 6,8,10 10,24,26
and others are missing.)
> I'd be interested to know whether 0.05 studs is an acceptable slack
> to take up when using Technic beams and pegs, I haven't tried this.
I'm pretty sure it would be. After all, LEGO parts are slightly
flexible, so you could probably have a greater error margin.
Thanks for your efforts!
--Bram
Bram Lambrecht / o o \ BramL@juno.com
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WWW: http://www.chuh.org/Students/Bram-Lambrecht/
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"Paul Baulch" <paul@vic.bigpond.net.au> writes:
> Bram Lambrecht wrote:
> > I believe Eric Brok has something like this on his site.
>
> Ah, cool. I hadn't seen it before.... actually I can't see it now.
> What is the URL? :-)
Whenever you know someone's name, but not their URL, check
http://www.lugnet.com/links/
I know Eric is there.
> > If you're using 1x2 plate hinges, the lengths of the sides are
> > increased, etc.
> Sure, but the side lengths are all just integer units
Not necessarily--especially if you use different hinges on either end.
> > How difficult do you think it would be to edit your program give one
> > (or more) sides in integral plate heights instead of stud widths?
> > That might give some useful results, too.
>
> Well, given that 3 plates == 1 brick, and 5 plates == two studs, I
> thought that people could just interconvert in their head :-)
Not all integer stacks of plates are integer stud widths tall. It's the
ones that aren't that I'm interested in. I can convert the other ones.
--Bram
Bram Lambrecht / o o \ BramL@juno.com
-------------------oooo-----(_)-----oooo-------------------
WWW: http://www.chuh.org/Students/Bram-Lambrecht/
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Bram Lambrecht wrote in message <20000109.104425.5095.2.braml@juno.com>...
>
> I believe Eric Brok has something like this on his site.
Ah, cool. I hadn't seen it before.... actually I can't see it now. What is
the URL? :-)
Wow, I'm almost embarassed to ask, I've been to Eric's site so many times,
just not recently.
>
> Part of the difficulty of creating these triangles is how you make the
> angles...for example, with Technic beams, you have to measure from the
> center of one end hole to the center of the other. If you're using 1x2
> plate hinges, the lengths of the sides are increased, etc.
Sure, but the side lengths are all just integer units, so when one uses
Technic beams one treats side lengths as the number of holes along the
Technic beams.
>
> Did you add an algorith to remove multiples? (I saw that 6,8,10 10,24,26
> and others are missing.)
I sure did. Any triangle whose two shortest sides had a common factor (e.g.
common factor of 6 & 8 is 2) was eliminated. After all, we can just obtain
those from the other, "fundamental" ones.
> > I'd be interested to know whether 0.05 studs is an acceptable slack
> > to take up when using Technic beams and pegs, I haven't tried this.
>
> I'm pretty sure it would be. After all, LEGO parts are slightly
> flexible, so you could probably have a greater error margin.
Yeah, but I was thinking more along the lines of when you start stacking
more and more bricks on top of the triangle in your model, and they're all
applying a force towards right-angled, and then later on you find your
hinges/pins are buckled :-) then again, I doubt that being out by 0.05
studs would cause this.
> How difficult do you think it would be to edit your program give one (or
> more) sides in integral plate heights instead of stud widths? That might
> give some useful results, too.
Well, given that 3 plates == 1 brick, and 5 plates == two studs, I thought
that people could just interconvert in their head :-)
Silly me! ;-)
Cheers,
Paul
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