Geometry of Surfaces in R²

Related lectures (28)

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Explores the construction of elliptical arches using a single ellipse arc.

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

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

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

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

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Explains the parametric equations of surfaces of revolution generated by curves in space.

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

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.