Hey @Hrvoje, thanks for this last tip as well! It took some time, but I managed to do it just like you suggested.
I added the cube, made it editable, and converted its edges into splines. Then, I replicated it 10x in one direction and grouped everything into a single object. After that, I replicated it 10x in another direction, perpendicular to the first, and grouped it again. Finally, I replicated it 10x in the third, perpendicular direction and grouped everything one last time. The process resulted in a 10x10x10 cube with all internal edges connected, just like you suggested and exactly how I needed it. From there, I just applied the effects you had already recommended.
Here’s the preliminary result below. Huge thanks!
Eudes.