Gothic Architecture: Surfaces and Curvature

Related lectures (29)

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Explores surfaces with variable curvature and the profound impact of curvature sign on geometric properties.

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

Covers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.

Explores surface and curvature concepts, focusing on TopSolid 7 software and its educational applications.

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

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Covers the application of the Weingarten map on regular surfaces and the shape operator.

Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.