Abstract: A pillow optic array comprising a plurality of first order pillow optic elements arranged as a two-dimensional grid with a plurality of interstice spaces between adjacent first order pillow optic elements. Each of a plurality of second order pillow optic elements, located within respective interstice spaces. Pillow optic elements of the second order have a predetermined dimension that is less than a predetermined dimension for pillow optic elements of the first order. A ratio of a cross-sectional width of pillow optic elements to a cross-sectional height of pillow optic element is the same proportion for each order of pillow optic elements in the pillow optic array, the cross-sectional width being located in a plane along the pillow optic array and the cross-sectional height located in a plane vertical to the pillow optic array. The higher order pillow optic elements touching, about tangentially, a lower order pillow optic element.