After the first couple of times I made a cioppa, I swore that I would never be crazy enough to make one entirely by hand. It turned out that I was wrong.
The fiber content of the satins is unclear, but it seems likely to be rayon based on burn testing. The body is lined with medium weight pink cotton/linen.
The instructions from my tailor's manual
The body of the cioppa is constructed in sections, which are each pleated, then combined together and attached to a yoke.
White satin and pink lining
Bronze trim
Laying out the pleats
Sewing down the valley of the pleat
Finishing the center front edges
Binding the joins between sections with twill tape
The assembled body
The hanging sleeve