Any idea?

[Dimitri]

I have a simple question: how can we place a cylinder-beam between two randomly put in the space spheres so that the beam's top and bottom faces be aligned exactly with the centers of the spheres?

I came across this need when trying to illustrate in 3D space a net of connections, as it is shown very roughly in the attached image.

Let say it in another way: we have ten points (spheres) randomly dispersed in the working space and we want to connect all to all with beams between them in a visually accurate way (that's to say by having the beams put accurately aligned with the centers of each pair of spheres which they connect). How can we get across such a task?