Since nobody else took a guess, Lemonnado was on the right track.
Instead of a lenticular screen I used a #300 Fresnel hexagonal lens array.
Within pov-ray I set up a virtual array of 11,009 concave lenses between the pov-ray camera and my subject matter. When rendered, this basically gives me 11,009 mini fisheye renderings, each one having a different view of the scene. I rendered the scene at a resolution of 4000 x 3200 pixels and printed it out on a Lexmark photo printer on Hammermill 110 lb heavy card stock and placed it in the frame behind the hexagonal lens array.
When viewed, each lenslet of the hexagonal magnifies a small portion of each āfisheyeā rendering beneath it and the portion thatās magnified changes with your viewpoint giving you a different view of the scene depending on your viewpoint.
This was a technique for 3d photography developed by Gabriel Lippman in 1908, but I wanted to try it with a computer generated image.
http://www.microlens.com/Pages/Lenticular%20History.html