Geometry of a barrel vault with lunettes between subjectivity and objectivity of its representation: a critical approach

Our contribution is part of a research project aimed at investigating Geometry as a cultural substrate and shared language between Architecture and Mathematics. We analyse the sequence of constructions for graphically representing a barrel vault with lunettes as outcome of a critical process of data discretization: we focus on the intersection curve between the surfaces underlying vault’s geometric structure and we reason about subjectivity and objectivity of its representation.