Four-dimensional theories match Virtual Reality because here time and space are configured through mutable lines. Since the discovery of non-Euclidean geometry, linearity has been submitted to a profound crisis. Mathematicians showed that there are not one but several geometries. This new, relativist conception of space perturbed a commonsensical idea of linearity. Henri Poincare showed that geometrical axioms are (1) not self-evident truths, (2) cannot be empirically established, and (3) are not synthetic a priori intuitions. Space is no longer three dimensional, but the existence of a fourth dimension becomes possible. Minkowski and Einstein suggest time as a fourth dimension. In non-Euclidean geometry, any foundational space is abandoned, which has profound repercussions, not just on mathematics, but also on science, philosophy, and art. I show how modern artists integrated these thoughts into their works.