Surfaces with Constant CurvatureExplores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.
Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Vault IntersectionsExplores the geometry and types of vault intersections, showcasing historical examples and the generation of vaults, including the architectural marvel of King's College Chapel.
Curvature and Inflection PointsExplores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Surfaces and Curvature in GeometryExplores surfaces with constant null curvature and their development, as well as the construction of networks of curves in hyperbolic paraboloids.
Surfaces in GeometryExplores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.