The curved petals meshed very nicely, but my opening method sucked.

I was going to push them open with a wedge from the inside.  That resulted in all the petals stacking up and a 'linear rose'.

So I've changed the petal design to have an extended bit, inverted the mount so it can be thinner, and made the shape a little closer to an actual rose petal (as close as I can get and still have them fold/unfold).

12 to print.