Asymptotic Gridshells

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Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores the mechanics of slender structures, introducing concepts like finite strain and finite rotation theory.

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

Covers the equations for curves and surfaces in space, including parametric and particular surfaces.

Explores algebraic topology and differential geometry in understanding robot dynamics and global behavior.

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores the mechanics of Kirchhoff rods, focusing on 3D kinematics and twisted solutions.

Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.