The cord as a construction tool: geometry, architecture and forms of nature

The article studies the importance of the cord as an instrument of 'construction', i.e., ranging from the geometric and then physical creation of architecture to several properties of natural or artificial matters. The first issue focuses on how the movements of the cord on a plane link geometry and construction. This phase includes regular geometric figures in a circle, the special 'birth' of the pentagon, the origin of the golden section and finally the logarithmic spiral. The logarithm is the bridge between geometric construction and natural formations. Experiments were then carried out involving the spatial movements of the cord based on a spiral created using the parametric techniques in Grasshopper (R). The conditions, equipment and software used to carry out the experiment are all illustrated. The experiment raises interesting issues about gravity and its role in the creation of matter and the development of organic forms. The essay intends to demonstrate the effectiveness of the use of a cord and logarithmic spiral not only in planar but also three-dimensional geometric constructions. The study will also, hopefully, pave the way for new studies and experiments in this sector.