Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Deformation RulesCovers the rules for deforming composite structures and how to trace the deformation based on moment diagrams.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Envelope of CurvesExplores the concept of envelope of curves within families of lines, including implicit equations, super-ellipses, and curvature.
Surfaces with Constant CurvatureExplores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.