Each piece is a complete part (4 feets, the tail and the body), except for the head which is compound with the front, the back and the edge (the long piece on the right). The fold lines are always between the corresponding flaps. Also, the blue piece is used to give some relief, cut apart the 7 parts of it and glue one side one the background and the other side on the back of nyancat. Hope it'll help you.
But I don't know how to fold and where to stick the blue piece on the first page...
WEHE EXACTLY IS THE PAPER CRAFT TEMPLATE FOR THIS?
Very nice model. XD