BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrew Sageman-Furnas (University Göttingen) DTSTART:20200421T170000Z DTEND:20200421T180000Z DTSTAMP:20260423T035019Z UID:OSGA/1 DESCRIPTION:Title: Nav igating the space of Chebyshev nets\nby Andrew Sageman-Furnas (Univers ity Göttingen) as part of Online Seminar "Geometric Analysis"\n\n\nAbstra ct\nMany materials are built from a grid of flexible but nearly inextensib le rods that behaves as a shell-like structure. Everyday examples range fr om fabrics made of 1000s of interwoven yarns\; to kitchen strainers made o f 100s of plastically deforming wires\; to architectural gridshells or med ical stents made of 10s of elastically deforming rods. In this talk\, I em phasize the geometric constraints common to these different physical syste ms. We build from a differential geometric model for woven fabric\, initia lly introduced by Pafnuty Chebyshev in 1878\, that directly encodes the in extensibility of the two families of rods.\n\nWe discuss the theory of Che byshev nets through a series of applied\, collaborative efforts in computa tional fabrication and inverse design. Theoretical obstructions expose the challenges in finding Chebyshev nets on surfaces with large amounts of cu rvature\, suggesting a limited shape space. However\, we show that a caref ul reformulation of the problem\, combined with a discrete analog of Cheby shev nets\, leads to computational tools that reveal a vibrant design spac e.\n LOCATION:https://researchseminars.org/talk/OSGA/1/ END:VEVENT END:VCALENDAR