I have been trying to generate random $(x,y,z)$ coordinates (i.e. for 15 ellipsoids) so that they obey following constraints:
- ellipsoid's length is constant,
- ellipsoids do not intersect (fulfilled even when they are tilted),
- $z$ can be adjustable, means that random coordinates can be generated 2D $(x,y)$ or 3D $(x,y,z)$,
however, it appeared as a tough task. I know how to generate 15 random ellipsoids but I do not know how to impose the constraints.