A solid-state area illumination system includes multiple LED devices, each LED device is formed on a separate substrate and each LED device emits differently colored light at different angles relative to the substrate. The peak frequencies of each color of light differ by at least the smallest of the full width half maximums of the frequency distributions of emitted light. Also included is a support for positioning each of the LED devices at multiple orientations relative to an area of illumination upon a surface, so that any point within the area of illumination will receive multiple colors of light from more than one of the LED devices at different angles. Each LED device includes one or more light-emitting elements, each light-emitting element having multiple sizes of core/shell quantum-dot emitters formed in a common polycrystalline semiconductor matrix.