CURRENT STATE AND DEVELOPMENT PROSPECTS OF APPLIED GEOMETRY SCIENTIFIC SCHOOL OF IGOR SIKORSKY KPI

The emergence of the applied geometry school of the Igor Sikorsky Kyiv Polytechnic Institute is associated with the formation of an educational institution at the end of the 19th century. For more than 120 years of history, significant results have been achieved, which have been implemented into production and the educational process. The available significant theoretical and practical achievements allowed to identify promising directions for further development. During this period, the Department of Descriptive Geometry, Engineering and Computer Graphics has published thousands of scientific works, hundreds of educational and methodological publications, 15 doctoral and more than 60 candidate dissertations have been defended. The scientific topics are connected with the shaping of complex curves and surfaces by methods of algebraic, differential, projective geometry, taking into account the needs of production; construction of agricultural machinery; multidimensional geometry; involute-evolutionary models; design and manufacture of aircrafts; optimization of industrial products; computer geometry, etc. The obtained results have been implemented at the leading machine-building enterprises of Ukraine, such as SE “Antonov”, Kharkiv State Aviation Production Enterprise, OJSC “Meridian” named after S.P. Korolyov, Research and Production Association "Kyiv Automatiсs Plant", etc. Over the past decade, more than 30 patents for utility models have been obtained, which are successfully applied in practice. Thus, the school of applied geometry of the Igor Sikorsky Kyiv Polytechnic Institute has more than a century of history. Over the years, a significant contribution has been made to the development of domestic science, industry, and higher education. Today the existing achievements contribute to improving the efficiency of computer-aided design of various technical products, processes of its manufacture, and operation. Nowadays, the staff of the Department of Descriptive Geometry, Engineering and Computer Graphics faces a number of important scientific, educational and production problems, which are successfully solved thanks to the accumulated theoretical and practical experience. This is also facilitated by the wide involvement of young people in these activities.