[PD] Gem: trigonometry in 3D space

[pix]

the maths is tricky enough that i don't have time to work it out right
now. however, if you are just placing the spheres in random positions, it
would be much easier to construct the sphere-cycliner-sphere contruction
along an axis, with perhaps a random length for the cylinder, and then
randomly rotate and translate the whole construction.

pix.

On Fri, 11 Jul 2003 16:08:39 +0100
"Martin Dupras" <martin.dupras at uwe.ac.uk> wrote:

> Hi,
> 
> I'm having a little trouble conceptually with trigonometric concepts in
> gem. Any hints of tutorials or examples that could help me with the
> following problem would be really useful.
> 
> Imagine that I have two spheres, translated in XYZ to random positions
> (let's assume (x1,y1,x1) and (x2,y2,z2).
> 
> I want to put a cylinder to join the two, and make the cylinder move
> with the spheres (in other words, imagine the cylinder is a rubber band
> stretched between the two spheres.)
> 
> Calculating the length of the cylinder (which I change with scaleXYZ) is
> not very difficult, I can obtain it with sqrt (x2 * x1 + y2 * y1 + z2 *
> z1).
> 
> The tricky part, on the other hand is finding the correct amount of
> rotation in xyz for the cylinder, and the correct displacement.
> 
> Thanks in advance. 
> 
> - martin
> 
> 
> 
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