Speaker: Yelena Vaynberg
3D printing technology has transformed the manufacturing landscape, making it possible to create complex shapes that were once challenging or unachievable with traditional methods. In this presentation, we will explore the mathematical underpinnings that are fundamental to 3D printing technologies, with a particular emphasis on the algorithms that translate digital models into executable printing instructions. We'll examine the role of mathematics in the slicing process, the significance of topology in enhancing structural integrity, and discuss how mathematical optimization can be utilized to minimize material use and reduce printing duration. Furthermore, this presentation will showcase how these principles are applied in practice by producing complex mathematical figures, including fractals and geometric sculptures.