Developable Surfaces and Parametrization

Related lectures (29)

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

Explores the second fundamental tensor and its role in calculating normal curvature on surfaces.

Covers the intersection of manifolds in exercise 8.2 and fiscal year 8.8.

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

Explores surfaces with variable curvature, discussing their construction and properties.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Covers conforming configurations in veneering, focusing on the pseudosphere example.