Synthetic Generation of Monge Surfaces Through Folding and Its Applications To The Design of Architectural Envelopes

This work is based on the reinterpretation of the Monge Surface through the logic of growth by folding, in a context of hybridization between digital processes and digital fabrication. We propose the construction of a discrete Monge Surface from the movement of a set of flat surfaces superimposed and linked to each other. The generation law that we propose presents certain conditions that guarantee that the generated meshes have specific geometric properties, which will be relevant for the design and materialization of architectural envelopes. Finally, we present different case studies and their application in architecture.