generating randomly oriented non-intersecting cylinders in a unit cell

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Hi all,
Im trying to think of a way of generating non-intersecting randomly oriented cylinders within a unit cell volume for micromechanical analysis.
Several research papers suggest a monte-carlo approach was used by displacing cylinders by vectors until the "condition was satisfied" - the condition is never stated.
My initial thought was to treat each cylinder as a line segment, and calculate the minimum distance between line segments, if that distance is > twice the radius of the cylinder, then they should not intersect. However, this also means that co-linear cylinders cannot be closer than twice the radius axially, which is not necessarily a condition i would like to impose.
Anyone have any thoughts on this?

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