I just finished mine (see picture thread), and on the very last quarter of it, I found a neat trick to make the process a little faster.
On parts 1-11 on a single eight section, since you are waking away from the middle one either side - if you're careful you can do two pieces at once before going to press them open.
If that makes any sense at all...it's hard to describe, but it kept me from having to walk back and forth from living room (sewing machine) to kitchen (iron) as much.