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PRODID:-//University of Liverpool Computer Science Seminar System//v2//EN
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DTSTAMP:20260408T233909Z
UID:Seminar-MIF-1474@lxserverA.csc.liv.ac.uk.csc.liv.ac.uk
ORGANIZER:CN=Othon Michail:MAILTO:Othon.Michail@liverpool.ac.uk
DTSTART:20251209T140000
DTEND:20251209T150000
SUMMARY:MIF Series
DESCRIPTION:Gábor Domokos: Natural tilings and the geometry of soft cells.\n\nI will describe a new class of shapes, called soft cells, which tile space without gaps and overlaps while they also minimize the number of sharp corners [1]. In the Euclidean plane, for periodic tilings this minimum is 2 while in the 3D Euclidean space we find monotiles without any sharp corners.\nI will explain how these soft tilings can be generated from polyhedral tilings by suitable bending of edges and I will also explain how they are related to triply perioidic minimal surfaces and also the Kelvin foam [2].\nIn nature we encounter soft cells on many scales, ranging from material nanostructure of polymers to macroscopic patterns in geological shear zones. I will describe some of these applications.\n[1] G. Domokos, A. Goriely, Á. G. Horváth, and K. Reg?s. Soft cells and the geometry of seashells. PNAS Nexus, 3(9):pgae311, 2024. doi: 10.1093/pnas-nexus/pgae311.\n[2] G. Domokos, A. Goriely, Á. G. Horváth, and K. Reg?s. Soft cells, Kelvin's foam and the minimal surfaces of Schwarz. https://arxiv.org/abs/2412.04491.\n\nhttps://www.csc.liv.ac.uk/research/seminars/abstract.php?id=1474
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