Ellipses and ConicsExplores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Conic Sections: Planar CurvesExplores conic sections, such as ellipses, hyperbolas, and parabolas, focusing on their geometric and algebraic properties and practical applications.
Surfaces with Constant CurvatureExplores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.
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.
Conic Sections & GnomonicsExplores the historical use of conic sections and gnomonics in ancient sundials and astronomical instruments.
Quadratic Surfaces in 3D SpaceExplores quadratic surfaces in 3D space, discussing hyperboloids and their Cartesian equations, emphasizing the importance of reference frames.
Concatenation of Arcs in GeometryDelves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.