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Explore the journey of implementing a geometry engine for 3D printing from scratch in this 46-minute conference talk. Dive into the challenges and unexpected discoveries made during a project that expanded from a planned six-month endeavor to a three-year adventure. Learn about the unconventional choices made in developing CAM software without relying on existing geometry kernels, and the reasoning behind these decisions. Discover new and exciting implementations in the field of 3D printing toolchains, including the speaker's work on ImplicitCAD and HSlice. Gain insights into the complexities of working with cutting-edge mathematics, interpreting research papers, and implementing algorithms still in development. Understand the intricacies of floating-point calculations and their impact on geometry processing. Get introduced to fascinating algorithms involving "crashing Austrian motorcycles" and be inspired to contribute to this evolving field of technology.