The shaping of structural elements of flexible discs formed from synthetic diamond powders on synthetic binders is one of the current problems facing researchers when creating new, highly effective machining tools for the processing of mineral materials. Over many years, natural stone and particularly hard types of rock have been used for and still remain a noble, durable and highly appreciated building material for facings. Meeting the normative requirements for shaping functional properties in automated technology systems for processing such materials requires the development of methods for modeling new construction and material solutions for machining tools, especially with the use of diamond abrasives, which are increasingly used in construction technologies. One requirement is to study the influence of the geometrical form of the abrasive segments of flexible machining discs in order to increase the efficiency of the process of finishing granite surface grinding.