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