Search about the space and time issues regards the 4th dimension in art; in cubist, futurist and surrealist approaches have attempt to convey the 4D into 2D. It has clearly seent the relationship of cubism and space.
They got influenced by the idea of travel in time which was popular those days by the effect of relativity theory. They were interested in the non- Euclidean geometry. It was a representation of the same subjects from different point of views that are not possibly observable in real world. It is a clue for understanding of the space. So that, they concern the way of different kinds of perceptions work together as the interaction of objects in space.
On the other hand, Futurism was interested in the concept of time. Artists were into motion, speed adn beauty of modern life. They were influenced by chrono-photography which was a new technology those days. It was about the representation of motions in the sequence of frames. It is about the movement and speed by blurring and repeting of the object.