Voronoi Cube

Hello,

I am trying to laser cut and assemble a voronoi cube whose cell edges meet. Ideally the cube will be made in grasshopper with cell offsetting parameters that when baked, it can be unrolled in Rhino, laser cut, and when folded, cell edges meet.

This image is an example, except each cube face is independent of each. As previously mentioned I would like the cells to continue past the cube edges onto the next surface.

 I was thinking of possibly creating a bounding cube around the 3D voronoi and intrsecting the 3D cells with the cube planes, but cant seem to figure it out. I also have to offset the voronoi cells to create a thickness. 

Can anyone help with the definition? Voronoi_Cube.gh

I appreciate the help.