Architectural Heritage between Mathematics and Representation: studying the geometry of a barrel vault with lunettes at a first year Bachelor’s in Architecture

We present an interdisciplinary activity, directed to students of the first years in Architecture, about the visualization of mathematical objects through physical and digital models, with specific regard to surfaces generated by intersections of cylinders. We focus on the geometrical structure of barrel vaults with lunettes and propose the use of various kind of models to improve the accessibility of interdisciplinary elements and to translate specialistic knowledge, building a common language for students with different backgrounds. The work is a result of a broader research project, dedicated to enhancing the relationship between Mathematics and Architecture through Geometry and Representation.