Millstones from Korea to Ireland are cut on their grinding surfaces with parallel lines forming distinctive patterns. Are these based on technology, geometry, art, grinding efficiency or what?
From Sophie A. de Beaune there is also "Pour une Archeologie du geste", quite an interesting book that may also come in handy in this context. Worth checking, at least.
Not my field of research, so I'm not sure how helpful this is, but on-line you will find a paper which includes brief discussion of furrows in a variety of geometrical patterns including parallel lines: Lepareux-Couturier, S. 2014. 'Complex dressing patterns on grinding surfaces of rotary querns and millstones from Antiquity in the Paris Basin, France: state of research and perspectives', AmS-Skrifter vol 24 [2014], 149–158 http://am.uis.no/getfile.php/Arkeologisk%20museum/publikasjoner/Stephanie%20Lepareux-Couturier.pdf