Here I just try cut 8 slits around and fold each partially & glue in right there, then I may just push in farther like in curve, or I may cut into square-try wet it, or not wet it, then do like puncture (in middle) with whole thumb tip, one of it I peeled the cardstock out of a thin metallic sheet.
I was thinking it you used this kind of paper it would work. Cheers!