To animate the paper fortune teller I used a very simple method, placing key frames on the vertexes and then for the final key frame, switching out for a copy of the animated mesh in its last pose and using a blend shape to animate that.

screencap 2015-11-27 18-21-30.jpg

(I cannot upload all images please click here to see the rest https://www.dropbox.com/sh/uoe9w3945ojefd6/AAArp_P0VD2LpbKZzApwFcgQa?dl=0 )