The idea of a network weaved this project in a conceptual as well as in a physical way. A network in the sense of an intangible connection between people, and a network in the sense of a materiality, woven to constitute the skin of a building according to different techniques associated with the ancient culture of covering to provide shelter. We seek to integrate old cultural identities with new digital methods. In the time of the fourth industrial revolution, we might think about a network as something fully accomplished, as if the availability of an internet connection was synonymous with effective communication. In our methodology, we face network challenges at the intersection of human communication and the physical and material domains. The challenge is to discover what to exchange and how to do so. Through the Brazilian-German program 'Connect', we tested our research in two practical workshops in two continents. The result suggests that is possible to weave a network incorporating local building traditions and analogue and digital processes of form-finding. The report describes our findings and shares critical reflections opening future research possibilities.