I drew a rough representation of what that might look like in the context of the leica reel, and set about figuring what this might look like in bringing it to actuality. First steps included researching how to make one of those contraptions, what to use for the little fragments (went with shrinky-dinks, which are amazing, for the record), and most importantly, how to rig that in such a way that it rotated evenly and smoothly.
The solution was to create a circular bottom (the end covered with wax paper to hold the shrinky-dinks) that included a thin circle of cardboard in the centre that kept the little pieces within the general area of the mirrors. The kaleidoscope was fixed to a grip stand arm held over the light disc, and just the circular end piece was rotated. That worked quite well.
The results were composited in Premiere along with a layer of acrylic paint used as a circular matte