Lecture

Surface & Curvature: TopSolid 7 - Education License

Related lectures (29)

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

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

Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.

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

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

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

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

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

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

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

Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.

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

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Explores surfaces with variable curvature, constant curvature, and gothic surfaces, as well as singularities and the inversion of normals.

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

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

Explores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.