Geometry and Origami to Make Dynamic Street Art

We would like to share our experience, proposing a workshop organized in a series of activities involving, in a funny way, mathematical topics: from synthetic geometry, useful for kindergarten and primary school students, to GeoGebra investigations, useful for high school and undergraduate students. Introduction Since 2013, a team of researchers, composed by mathematics and architects of Politecnico di Torino interested in visualizations of geometric shapes, decided to study and use origami in their research and didactic activities. To this purpose, origami is a very clever tool because it allows to visualize and make tangible geometric elements. We have been exploring in many directions: we have been using origami in our classes to teach Mathematics and Drawing and training teachers from kindergarten to high school to this aim, we have been organizing educational projects and dissemination events, we have been studying origami models of architectural shapes from a mathematical point of view (see [1], [9]). In this paper we briefly describe the research project realized during Spring 2017, in which we use origami in cooperation with our students to learn Mathematics, to produce artistic results and to connect people. The aim of the research has been to use Mathematics to draw geometrical elements appearing in a selection of wall paintings and to make dynamic some of them in it, by using well known origami or specifically designing them. The use of origami in street art is not new (see, for example, [6], [7]), and origami and Mathematics have a deep relationship (see [4], [5]), but our idea is to combine origami, street art and Mathematics. Some of the authors, Sara De Grandis, Margherita Truffa and the student Silvia Decortes developed materials of this paper as part of their degrees in Architecture, and Engineering students Silvia Fiore and Marco Torredimare were then involved later, when the research was presented in public lectures.