Hi All,
Here are 3 shaders that perform different types of reflective tiling
(AKA kaleidoscope effects):

www.synthesisters.com/download/reflect_shaders.zip

rf.kaleido.jxs — a proper radial reflection tile using polar coordinates.

rf.reflecto.jxs — a slightly dumber version that does 45-degree
reflections.

rf.mirror.jxs — the dumbest of all, using right-angle reflections
around a center division.

I encourage you all to play around with them, and see if you can use
these building blocks to try something a little less typical.

Enjoy!

Andrew B.