Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.
Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Explores surfaces with constant null curvature and their development, as well as the construction of networks of curves in hyperbolic paraboloids.
Explores different types of map projections and their practical applications in geomatics, emphasizing the importance of preserving angles and choosing the right projection for accurate representation.
