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Subject: 
Re: It's all clear now... (how to use 1-4cyls2.dat)
Newsgroups: 
lugnet.cad.dev
Date: 
Tue, 5 Sep 2000 17:56:31 GMT
Viewed: 
575 times
  
In lugnet.cad.dev, Steve Bliss writes:
This is one is for parts authors, I suppose...

I never understood the relation between the original sloped cylinder
primitives--1-4cyls.dat, 2-4cyls.dat--and the newer 1-4cyls2.dat.  Both
sets of files are the result of intersecting a cylinder with an angled
plane.  The difference is the angled plane.

(Suggestion: open both 1-4cyls.dat and 1-4cyls2.dat in L3Lab.  Turn up the
zoom to 12800, deselect BFC, select Show Axes, and choose random colors.)

For x-4cyls, the intersecting plane is Y = X - 1.

For 1-4cyls2, once the primitive is rotated around Y -90degrees (into the
X+/Z+ quadrant), the intersecting plane is Y = Z.

No big mathematical insights here.  Just two relationships to note:

1. 1-4cyls and 1-4cyls2 are complements.  If you put them together the
right way, they make a 1-4cyli.  Like this:

1 15 0 0 0 1 0 0 0  1 0  0 0 1 1-4cyls.dat
1 14 0 1 0 -1 0 0 0 -1 0 0 0 1 1-4cyls2.dat

Which is pretty cool, and it means that for any cylinder-plane intersection
(where the plane is parallel to the X or Z axis), these primitives will fit
the intersection.

2. This is sort of a corollary.  You can use multiple copies of 1-4cyls and
1-4cyls2 to make a 4-4cyls.  Like this:

1 14 0 0 0 1 0 0 0 1 0 0 0 1 1-4cyls.dat
1 4 0 1 0 1 0 0 0 1 0 0 0 1 1-4cyls2.dat
1 3 0 1 0 1 0 0 0 1 0 0 0 -1 1-4cyls2.dat
1 2 0 0 0 1 0 0 0 1 0 0 0 -1 1-4cyls.dat
1 1 0 0 0 0 0 -1 0 1 0 1 0 0 2-4cyli.dat

So 1-4cyls2 is hidden in 2-4cyls -- it's the upper section of the sloped
area.  Like this:

1 16 0 0 0 1 0 0 0 1 0 0 0 1 1-4cyls.dat
1 16 0 0 0 0 0 -1 0 1 0 1 0 0 1-4cyli.dat
1 14 0 1 0 1 0 0 0 1 0 0 0 1 1-4cyls2.dat

Maybe this was discussed before, and I've forgotten since then.  I stumbled
across it while making the minifig skeleton leg, and I thought I'd post it,
in case anyone else finds it useful.

Steve

Thanks for explaining this again Steve - I am sure I tried to explain this when
I created this primitive in Oct 1998. But it is really hard to get ones head
around - it took me some time playing with the *cyls.dat files before I
realised I needed something different.  The understanding is not helped by the
inaccurate information currently on my primitive reference at
http://www.ldraw.org/dev/primitive.html. I'll try and fix this.

What is really strange is that I created 1-4cyls2.dat specifically for the
minifig helmet visor (2447.dat), yet the current released version does not use
this primitive, even though my copy of what I submitted does. Now things have
gone full circle and the revised 2447.dat in the current voting does correctly
use this, allowing better rendering by l3p, etc, which is good news.

I agree that the L3Lab random colours option is a good way to see what is going
on but it is still tricky to figure out how to rotate this (and the other cyls
primitives correctly). What I do during authoring is to massively scale up the
primitive and rotate it until it looks right, before scaling it down to the
required size.

Definitely a topic for the parts authoring FAQ.

Chris



Message has 1 Reply:
  Re: It's all clear now... (how to use 1-4cyls2.dat)
 
(...) I kind of figured you had, but I totally didn't remember that you had. (...) Hmm. I wonder if the current 2447.dat was inlined at some point, because 1-4cyls2.dat hadn't been made official yet... (...) Yep. Or, you can copy the primitives to a (...) (24 years ago, 6-Sep-00, to lugnet.cad.dev)

Message is in Reply To:
  It's all clear now...  [DAT]
 
This is one is for parts authors, I suppose... I never understood the relation between the original sloped cylinder primitives--1-4cyls.dat, 2-4cyls.dat--and the newer 1-4cyls2.dat. Both sets of files are the result of intersecting a cylinder with (...) (24 years ago, 5-Sep-00, to lugnet.cad.dev)

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