Convex geometry is a vibrant area of mathematics that investigates the properties and structure of convex sets in Euclidean spaces. This field is intrinsically linked to a series of fundamental ...

A polygon is regular if it is uniform and its faces are all alike. The regular convex polyhedra are the five Platonic solids, which have been known since classical Greece. The ancient Greek ...

A 40-year-old conjecture on shapes’ cross sections is finally proven ...

To the surprise of experts in the field, a postdoctoral statistician has solved one of the most important problems in high-dimensional convex geometry. In the mid-1980s, the mathematician Jean ...

Inhalt: In this course we will study some basic concepts of Convex and Integral Geometry and at the end we will get in touch with a few classical results from Stochastic geometry. In the first part of ...

and therefore all convex polygons, that tile the plane. One of the oldest problems in geometry asks which shapes tile the plane, locking together with copies of themselves to cover a flat area in an ...