The majority of origami models begin their existence as uncut squares of paper. Complex dinosaur skeletons (like the one above, designed by Fumiaki Kawahata) differ in that they are modular creations, assembled from many pieces, all of which are folded separately.
The neck section of this Brachiosaurus incorporates 13 small squares of paper of varying sizes (6-8cms) - one for the skull and one for each of the 12 vertebrae. The completed skeleton uses 45 squares. The finished pieces seem to slot together quite well. I am cautiously optimistic that I can assemble the model without resorting to glue.