Dissolving Box Form

Hi guys! I am a sophomore studying architecture and am just learning grasshopper! So far I think it is an amazing plugin. I am making a form similar to the images below. It is basically multiple boxes that span (1'x1'xincrements greater than 2') The interior basically only has sticks that stack from the floor, the ceiling, or from the walls along with vertical spanning members. How would you go about making this kind of form in grasshopper? I tried using boxes inside of boxes and randomizing, but that does not work out since they are supposed to stack on top of one another.