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Related lectures (28)
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Hamiltonian dynamics on convex polytopes
Explores Hamiltonian dynamics on convex polytopes, covering symplectic capacities, EHZ capacity, and systolic ratio maximizers.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.
Geodesic Curves: Minimizing Distance and Constant Speed
Covers geodesic curves parameterized at constant speed to minimize distances between points.
Regular Polyhedra: Symmetries & Generation
Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.
Untitled
Platonic Solids: Misinterpretations and Correspondences
Explores misinterpretations of Platonic solids and their correspondence with elements, emphasizing the importance of rigor in mathematical integration into architectural culture.
Polygons & Polyhedra: Regular & Starred
Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.
Untitled
Quantum Physics: Coulomb Potentials
Delves into quantum physics, emphasizing Coulomb potentials and their effects on particles.
Symmetries of Regular Polyhedra
Explores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.
Geometry of the Lasso
Explores the geometric explanation of why Lasso solutions are sparse and how coefficients change with the regularization parameter.
Intersection of Manifolds in Exercise 8.2
Covers the intersection of manifolds in exercise 8.2 and fiscal year 8.8.
Geometry I: Euclidean Propositions & Symmetry
Explores Euclidean propositions, symmetry evolution, and geometric constructions in architecture.
Geometry: Inaugural Proposition
Explores the Inaugural Proposition of Euclid's Elements and practical exercises using TopSolid software.
Perspective: Radial Method
Covers the concept of perspective in geometry and the radial method of creating images using central projection.
Volumes of Solids: Calculating Volumes of Solid Bodies
Covers the calculation of volumes of solid bodies using slices and integrating the cross-sectional area.
Symmetry in Geometry
Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.
Regular Polyhedra: Definitions and Symmetries
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Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.
Regularity of Weak Solutions
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Explores elliptic PDEs, weak solutions, regularity, and strong solutions, with a focus on classical solutions and proof techniques.
Construction of Solutions by Dirichlet-Laplace
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Explores the construction of solutions by Dirichlet-Laplace in general domains.
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