Lectures related to Ruled surface

Covers the demonstration of functions and the application of tangent planes.

Explores tangent planes to cones and cylinders, parallel and perpendicular to given directions.

Explores surfaces with constant null curvature and their development, as well as the construction of networks of curves in hyperbolic paraboloids.

Explores the analysis and construction of Gothic surfaces, focusing on intricate geometrical details and techniques used in architectural design.

On hyperbolic cylinder resonances explores Schottky groups and transfer operators.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Covers quotient spaces, combinatorial groups, generators, and coatings of surfaces.