It’s interesting to learn that Picasso’s cubism was strongly influenced by the French mathematician Maurice Princet. The idea of cubism came from Princet who talked to Picasso and his inner circle. He introduced them to the fourth dimension and n-dimensional geometry. Also important to note that X-rays were seen by artists for the first time at the end of the 19th century.
I did some animation experiments of moving cubes with texture maps about 10 years ago. I left off two of the faces of the cube so one could look through them. The modified cubes intersect and move through each other. 3d perspective gives too much depth to be called cubism. Here is a single frame from a quicktime animation. I like to think of it as Cubic Space.