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This lecture delves into conicity as a powerful tool in modeling, showcasing how it deforms shapes while preserving all planes, addressing challenges at corners, and simplifying geometry. By imposing conicity at vertices, the lecture explores the concept of tangency to cones and the convergence of bisectors, ultimately leading to a clearer understanding of geometric structures. The instructor demonstrates how conicity affects the convergence of joint planes, streamlining the geometry of walls. Through a tutorial, viewers learn to create a circumscribed circle that forms the basis of a fully convex cone, ensuring convexity in all facets. The lecture concludes by hinting at upcoming discussions on elliptical, parabolic, and hyperbolic cases of conicity.