DEVICE FOR MODELING THE PROPERTIES OF THE MOBIUS TAPE

摘要

The utility model relates to the field of studying the elementary properties of topological objects, more specifically to a visual textbook for modeling the properties of the Mobius strip, and can find application in the study of mathematics in the system of secondary and higher education.;The technical result of the utility model is the elimination of the indicated drawbacks of the known technical solutions, an increase in the convenience, clarity and reduction of the time for preparing repeated demonstrations when studying the topological properties of the Mobius strip. An additional result is an increase in the efficiency of training and the level of perception of subtle topology issues.;The specified technical result is achieved in that the device for modeling the properties of the Mobius strip contains a flexible material base, including one base and at least one auxiliary strip of equal length and width, means for connecting and disconnecting them, according to the utility model, means for connecting and separating the base and auxiliary strips of the material base in the transverse direction contain transverse connectors made using permanent magnets located at the ends of each of the strips along their width with the possibility of connecting and disconnecting the strips, and the means for connecting and disconnecting the base and auxiliary strips in the longitudinal direction contain longitudinal connectors made using one of the types of textile fasteners and located along the long edges of the strips.;In addition, at least one of the strips of the flexible material base, its edges and / or the middle can have different graphic or color identification to clearly display the topological state of the device with different methods of connecting and disconnecting the base parts in the transverse and / or longitudinal direction.;In addition, at least one of the strips of the flexible material base along its edges can have LEDs with different colors, which are connected in an electrical circuit and connected to a miniature power supply located in one of the parts of the transverse connector for visual display of the topological the state of the device with various methods of connecting and disconnecting parts of the material base in the transverse and / or longitudinal direction.;The proposed device makes it possible to effectively simulate the main topological properties of the Mobius strip with the achievement of a technical result associated with an increase in convenience, clarity and reduction in the time for preparing demonstrations when studying a number of topological issues. In addition, as a result of investigations of the proposed device for modeling a single-strip Mobius strip, its additional properties were clarified, associated with the possibility of a visual display of its left- and right-sided state. The utility model can find application in the system of secondary and higher education, as well as in various fields of applied and scientific research.