Cut honeycomb pattern normal to outside of object (wrap around)

I'm looking to cut a honeycomb pattern through a rectangular shell. I want the cut to be applied normal to all of the faces, and I would like to be able to apply this to any number of geometries. The problem is I want it to wrap around the edges and stay continuous, so basically the honeycomb pattern should link up as it wraps around the object.

Please advise on what you recommend! Really appreciate the help.

Here is an example of the box I'm trying to cut the honeycomb pattern into.