2D pattern from 3D shape

Ok I have a guess, I think you want to flatten the cone section so you can derive a 2d pattern. There are plugins for this, here is a native solution. I took as single facet of your cone and laid it flat. Then I drew two lines on the long edges to find the new center and rotate copied the 16 faces around that center. Is this the idea?

Wedge (1).skp (42.6 KB)

Screen Shot 2020-05-04 at 12.48.31 PM