Surface of Revolution

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Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Surfaces in Geometry II

Explores geometric surfaces, rules between shapes, and architectural applications.

Surface Integrals: Implicit Surfaces

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

Perspective of a Sphere & a Circle

Explores conical sections, plane curves, and the perspective of a sphere and a circle.

Regular Curves and Constant Speed

Covers regular curves and constant speed, with examples of circles and helices.

Parametrized Curves in 2D

Covers the concept of parametrized curves in 2D and their properties.

Surfaces with Variable Curvature

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

Conforming Configurations in Veneering: Pseudosphere Example

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

Implicit Surface Parametrizations

Explores implicit surface parametrizations and the use of metric tensors in surface parameterization.

Intrinsic Geometry of Regular Surfaces

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.