Directorial surfaces and potential applications in cupola design

Abstract

© Springer International Publishing AG, part of Springer Nature 2019. Architecture, being an inexhaustible source of ideas for shaping both interior and exterior, is in high demand of the development of novel methods for geometric form generation. Nowadays the architectural objects, in regard to high degree of computer design and material technology development, are realizing as complex geometrical structures. Directorial surfaces are created on the basis of the specific set of rules, being a locus of points in space with the constant either sum of distances from predefined line directors. In this paper we derive the mathematical model for the particular directorial surfaces’ generation which seems to be suitable for cupola design. Representative Serbian buildings are analyzed and the possible reconstruction of their cupola are suggested.