Having polished a few things in the "european stick up ass" method, I can say that it's a fuckton of trouble and work. I did the buttplate, the action, the barrel, the bolt, and the recoil lug. No good pics of those, I'll take some eventually.
Method went as follows:
>Rough file any bumps off. File until divots caused from filing said bumps are evened out with the entire workpiece, all over.
>Fine file until rough file marks are gone, filing any remaining divots, bumps, or dips of any size, blending the whole surface together
>180 sandpaper until file marks are gone (all the file marks)
>240 sandpaper at a 90 degree angle from the 180grit until all the 180 grit marks are gone
>320, perpendicular to 240
>400, perpendicular to 320
>600 along the longest length in the workpiece
>600 until all 400 marks are gone
>800 until all 600 marks are gone
At 600 to 800, examine under bright light and magnification to see if ANY marks from previous grits remain. If they do, go back down a grit and start the whole thing all over again, all over the piece. This is important as you don't want a wave/wobble to build up from spot-sanding.
>polishing wheel with 555+ fine paste can be used at this stage for some parts, but anything with edges are no-go
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