Voronoi pattern on a surface

I've seen many examples of Voronoi tesselation floating around; however, I can't find anything specific enough that addresses what I want to do. Unfortunatly my grasshopper skills are weak, or else I'm sure I could figure this out on my own.

So basically: I have a surface, which wraps around on itself like a cylinder, but is open on both ends. I want to apply a voroni pattern directly to the surface to create a full trusswork pattern all the way around the surface.

I don't necessarily want the pattern to morph on to the surface, I would rather have straight sections that are faceted. The end result needs to be an extrusion since my goal is to render the structure.

any advice is appreciated!