A luminaire. The luminaire includes a geometric solid. The geometric solid has a length and includes a first geometric solid portion which includes an optically clear material and a second geometric solid portion which includes the optically clear material, wherein the first and second geometric solid portions are conjoined. The luminaire further includes a cavity defined by the first and second geometric solid portions, a plurality of discrete light sources positioned to emit light into the cavity, a first aperture positioned to allow a first portion of light in the cavity to pass into the first geometric solid portion, and a second aperture positioned to allow a second portion of the light in the cavity to pass into the second geometric solid portion.