A three-dimensional volumetric display includes a light source that generates a two- dimensional image output and a transparent scattering volume, coupled to the light source on a first face of the scattering volume, that scatters the image output of the light source in a direction perpendicular to the light axis of the output of the light source; where the scattering volume comprises a three-dimensional array of scattering elements arranged in a plurality of scattering planes tilted relative to the first face of the scattering volume.