A DCAMM seminar will be presented by

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**Associate Professor Vinayak Krishnamurthy\nTexas A&M University, USA\n \n**

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**Abstract:\n\n**Natural systems, organic or inorganic, embody spatial growth as one of the working principles that is central to the development of complex forms with a wide range of mechanical functions. In this talk, we take inspiration from this tenet and investigate partitive geometry – a new paradigm for geometric modelling for design and manufacturing. Partitive geometry leverages the geometric principles of growth in physical, chemical, and biological systems and offers a new representation for complex 2D and 3D lattices.

Starting with an example from the biological world, we will see how spatial growth manifests in animal skin cells and discuss computational schemes to capture this growth for designing a range of geometric structures. We will then develop the idea of partitive geometry in the context of designing topologically interlocking shapes and auxetic structures using spatial symmetries induced by textile weaves. The talk will expose these ideas through specific examples of structural (or architected) materials and path planning algorithms for cooperative manufacturing. Finally, we will look at partitive geometry from the broader perspective of fundamental geometric representations for generative design and manufacturing.

\n**\n\n**Danish pastry, coffee and tea will be served 15 minutes before the seminar starts.

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All interested persons are invited

\n URL:http://www.dcamm.dk/kalender/2024/04/seminar_no_771 DTSTAMP:20240416T192900Z UID:{8A9BA7C2-4B2C-4D56-9513-3F4A654CCF09}-20240410T130000Z-20240410T130000Z LOCATION: Aarhus University, Dept. of Mechanical and Production Engineering, Katrinebjergvej 89 G-F, 8200 Aarhus N, Room 5132-229 END:VEVENT END:VCALENDAR