Hello Bert,
I am primarily involved in the biotech community and there has been some hubub about using the Lichtenberg effect for tissue generation (to re-create vasculature in tissue generation matricies). Although the pattern is akin to vasculature, it does not seem to create channels that allow for converging vessels' increasing volumes to maintain flow rates. Can you tell me, what is the thickest cavity that you have been able to create? Within your experience, of course, and material is inconsequential. And this also assumes you measure the diameters of the cavities you produce.
Because, as a biologist (BS) and engineer (BS), I just don't see this as a viable alternative to other methods. Although, the image you have of the cube is remarkably similiar to NEURAL patterns... hmmm.