How to Create Overlapping Rather than Intersecting Pipes (U + V Divisions LunchBox Plugin)


I currently have a pipe structure in which all of the pipes intersect with one another. I used the Lunchbox Plugin to create the divisions and pipes. Is there a way in which I can have the pipes and surfaces overlap instead of intersecting with one another as shown on the second image below?

I have to fabricate this small 1:20 scale structure for an assignment and was thinking of using overlapping metal wires to create the form and the plugin fabtools to get the lengths. The first Image is an example of the overlapping. Any help would be appreciated, thanks!

Reference Image

Overlapping U V dimension (437.2 KB)

You can make U pipes on the surface, offset the surface and then make the V pipes on the offset.