Modern geometry versus modern architecture

Abstract

Too often mathematics and architecture are related through concepts that have been central in Renaissance, and through ideas that were new in the 15th century; in this research, we propose sophisticate geometrical ideas and shapes that are still today object of active researches in mathematics, such as curves, vector fiber bundle, fibrations, foliations, non-euclidean surfaces etc⋯ in order to read architectural realizations as well as to sequate objects with an artistic or design value. This is done independently of the awareness of the conceiver.