I had a short rod of Lucite (about 1.5 x 4 inches) kicking around and decided to see if it could be turned into a shaving brush. Lucite is very prone to catches and had to be turned in the scraping rather than the cutting mode. (I found that out by trial and error, and that is partly why the final diameter was somewhat smaller than the rod I started with 🙂 )
I had to cut some small pieces of wood to hold the rod in the 4 jaw chuck because its diameter was a little smaller than my smallest chuck setting.
The four pieces of wood became fused to the Lucite which had apparently partly melted from friction when I got one of the catches.
This shows the leftover piece of the rod after I had parted off the finished piece. The whole brush was as rough as the conical surface before sanding and polishing.
And this is what I ended up with after sanding through the grits (80-1500) and then polishing with a 3 part Lucite polishing compound while it was on the lathe. The bristles were glued in with CA gel (cyanoacrylate, super glue):
bottom view:
