Any moving object describes a curve in space (think, for example, of the curves that birds or butterflies "trace" during their flights). Is there a mathematical "language" to describe the shape of curves in space? Yes, it is the "language" of curvature and, in the three-dimensional case, of torsion. These two concepts are very intuitive and we may introduce them with the help of everyday life situations.
(*) This work was carried out under the guidance of Professor Jorge Picado from the Universidade of Coimbra, under a grant by the Calouste Gulbenkian Foundation to develop a project for the promotion of Mathematics in Atractor.
Difficulty level: University