So, here is an image of the box I made.
First, I made a simple square box not to any particular scale. I moved the grid surface onto the surfaces of the box and drew a spline on each surface. Then I combined the lines forming blob like forms, capped those forms, and then cut them out from the box.
The box was then scaled to 4x4x4". I then cut the box into layers equivalent to the thickness of chipboard I would be using. Lastly, I separated those cuts, imported them into CAD, and cut them out with the lazer.