Traditional flat screen displays present 2D images. 3D and 4D displays have been proposed making use of lenslet arrays to shape a fixed outgoing light field for horizontal or bidirectional parallax. In this article, we present different designs of multi-dimensional displays which passively react to the light of the environment behind. The prototypes physically implement a reflectance field and generate different light fields depending on the incident illumination, for example light falling through a window. We discretize the incident light field using an optical system, and modulate it with a 2D pattern, creating a flat display which is view and illuminationdependent. It is free from electronic components. For distant light and a fixed observer position, we demonstrate a passive optical configuration which directly renders a 4D reflectance field in the realworld illumination behind it. We further propose an optical setup that allows for projecting out different angular distributions d...