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Course Recap and Asymptotic Grid Shells
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Geometric Principles in Architecture: Hyperboloids and Paraboloids
Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.
Hyperbolic Geometry
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Hyperboloid Surfaces: Sections and Developability
Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.
Plates II: Mechanics of Slender Structures
Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.
Surfaces and Curvature in 3D Modeling
Explores surfaces and curvature in 3D modeling, covering zero curvature, variable curvature, and constant canonical curvatures.
Plates II: Föppl-von Kármán Equations
Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.
Geometric Surfaces: Paraboloid and Hyperboloid Concepts
Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.
Mechanics of Kirchhoff Rods I
Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.