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The cutting elements of the grinding tools are grains. But only a small part of the grains participates actively in the cumulative cutting process. Each grain has its own arbitrary shape and a chaotic arrangement in the body of the instrument. As a consequence, the geometry of the cutting part of the grains varies over a wide range and this greatly reduces the performance of grinding tools. A new class of tools and technology for their manufacture, in which the shape and orientation of the useddoi:10.1051/matecconf/201822401071 fatcat:veeos4grpndvblvvg523h6ltry