Descriptive Geometry: Cones and Cylinders

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Page 3 of 4

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

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

Explores conicity in modeling, addressing challenges at corners and simplifying geometry through the imposition of conicity at vertices.

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

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

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

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

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Covers exercises and perpendicularity in geometric descriptive concepts, emphasizing in-person attendance and practical applications.

Explores surfaces, curvature, ruled surfaces, and practical applications in geometry.