I agree with Jvpi. Take a few good photos of cap unfolded, but leave it folded for display.I don`t know how best to present something like this.
Hello,First time for me to see an unissued field cap from more than 100 years ago, thanks for showing!
I would just leave it folded like that for display, with the cockades placed beside it. It's not really possible to show all the angles at one time I think, except taking high quality photos for the cap from all angles, so you can show others the pictures.