Topology in Computer-Aided Design

This lecture covers the fundamental concepts of topology applied in Computer-Aided Design (CAD), focusing on how sketches in TopSolid manage seams and cuts of different profile types. It explores the automatic sewing of segments in 2D sketches to create topologically coherent objects, such as flat shapes, open surfaces, closed surfaces, and solids without edges. The lecture also delves into the distinction between interior and exterior, regardless of object shape, emphasizing the importance of topological coherence. Additionally, it discusses the Euler characteristic and the topological equivalence of different geometric configurations, including tori and spheres.