As a start, I`ll show you the method I came up with.

To have a fixed point on the very slippery floor, I taped a piece of 2mm balsa on the floor, to mark the center.
Ripstop cloth from a extreme-tent producer here in Norway, was the only solution, since my wife (who else) had thrown the remains of the tent I intended to use...

The given outer diameter i devided into the measured individual radius of the different panels and slots.
There are 115 panels and 88 slots on the original F-104 chute. 21 lines in total.
Diameter is exact 100 cm, wich will shrinke to app. 75-80 cm in action.
Slots are 25 mm, and panels are 55 mm.
It has all the reinforcements as the full-scale, seams and solutions.