In article <37ee313a@news.povray.org> , "TonyB" 
<ben### [at] panamaphoenixnet> wrote:

> Given 2 points in 2D* or 3D space, A and B, how can I make an object rotate
> to line itself up to the line AB?

You just want the rotation, so you need to find them one after each other.
In the following I will assume the left-handed coordinate system. I will
call your vector AB = V .

First, determine the rotation between needed to the vector will be in the
xz-plane. Doing so is easy:

r = vlength(V);

so you get

sin a = V.y / r

your first angle is

a = asin(V.y / r)       // Remember: POV-Ray returns asin in radians!


Next you want the angle of the newly fromed vector (or any vector with the
same direction) with the x-axis

M = <V.x, 0, V.z>

r = vlength(M);

g = asin(M.z / r)


Now you have to angles, I guess you can figure out the rest yourself :-)


    Thorsten


____________________________________________________
Thorsten Froehlich, Duisburg, Germany
e-mail: tho### [at] trfde

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