Geodesics on Surfaces

Related lectures (32)

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

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

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

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

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

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

Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.

Covers the equations for curves and surfaces in space, including parametric and particular surfaces.

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

Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.