I'm sure there are better ways, but for my sole butterfly attempt a few years ago, I simply wrapped various grits of paper around slightly thinner, flat files and progressed up to 400 grit, then used slightly oversized felt bobs on my Foredom tool to polish - probably not a perfectly flat, mirror finish, but the same technique could be expanded to work up to 1200 grit paper, followed by less aggressive buffing.
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