Gaussian curvature

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Related lectures (31)

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Geometric Quantities in Parameterized Curves

Explores parameterized curves, regularity, and geometric quantities like the carbide vector and curvature.

Surfaces with Constant Curvature

Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.

Applications of Gauss's law: Electric Field Calculations Simplified

Simplifies electric field calculations using Gauss's law and symmetry arguments.

Computing Minimal Surfaces

Explores the computation of minimal surfaces, Laplacian, Gauss curvature, numerical solutions, and mesh processing.

Geometric Principles in Architecture: Hyperboloids and Paraboloids

Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.

Gothic Architecture: Surfaces and Curvature

Delves into the intricate geometry of Gothic architecture, exploring surfaces with variable and constant curvature and the historical evolution of vaults.

Surfaces and Curvature in Geometry

Explores surfaces with constant null curvature and their development, as well as the construction of networks of curves in hyperbolic paraboloids.

Minimal Surfaces: Analytic Examples

Explores minimal surfaces, their properties, history, classification based on curvature, and examples from the Minimal Surfaces Gallery.

Beams: Forces, Stresses, and Deformations

Analyzes beams, forces, stresses, deformations, curvature, deflection, and rigidity.

Altitude Models: Derivative Variables

Covers global relief indicators, altitude models, slope, orientation, curvature, and morphological indices for terrain description.