To make my Kaleidoscope I didn't use any specific technique. To start i cut my picture into a small triangle and then I duplicated that layer. Then I put those two layers facing each other and merged them. Then I duplicated that four more times.
To create the butterfly effect I used my full size image and sized it into one fourth of the paper. Then I duplicated it and pulled it across to make it like a mirror. Then I merged that, duplicated it and pulled it down.