Tropin is an analogue of a path in mathematics, representing the shortest distance between two points. The definition of tropin is closely related to the term "invariant set", which is a set of points that form the trajectory of an object of a given movement in time. The number and geometric shape of trails can be used to predict many physical results, such as the trajectories of objects in nature such as clouds or stars. Tropine science, as a synonym for tropine construction or tropine formation, refers to scientific disciplines that study the formation of tropines, their properties and application in various scientific problems. Known