Lectures related to Faces, Facets and Vertices

Explores separating hyperplanes for two sets X and Y, discussing conditions for separation and implications of convexity.

Explores harmonic ratio in geometry, covering bisectors, harmonic segments, polyhedra, spatial curves, and historical perspectives.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers the concept of integer cones and Carathéodory's theorem with illustrative examples.

Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.

Focuses on proving the Cellular Approximation Theorem, introducing polyhedra and piecewise linear maps.

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.