Faces, Facets and VerticesCovers the concepts of faces, facets, and vertices in polyhedra, exploring minimal faces and inequalities.
Symmetries of Regular PolyhedraExplores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.
Harmonic Ratio in GeometryExplores harmonic ratio in geometry, covering bisectors, harmonic segments, polyhedra, spatial curves, and historical perspectives.
Basic Solutions and PolyhedraExplores extreme points, vertices, and basic feasible solutions in polyhedra, emphasizing their properties and construction.
Symmetry in GeometryExplores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.
Convex Optimization: Introduction and SetsCovers the fundamentals of convex optimization, including mathematical problems, minimizers, and solution concepts, with an emphasis on efficient methods and practical applications.
Convex OptimizationCovers an overview of convex optimization, affine sets, polyhedra, ellipsoids, and convex functions.