Lectures related to Connected Sum of Torus and RP2

Discusses fundamental groups, surfaces, and their topological properties in detail.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores how sketches in TopSolid manage seams and cuts of different profile types in Computer-Aided Design.

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Covers the applications of surface classification using mathematical notation and formulas.