On order and metric convexities in
On packing of squares into a rectangle
On packing spheres into containers.
On parametric density of finite circle packings.
On perfect 4-polytopes.
On periodic homeomorphisms of spheres.
On point classification in convex sets.
On point sets fixing a convex body from within.
On Polyhedra with Transitivity Properties.
On Polytopes Cut by Flats.
On prior distributions which give rise to a dominated Bayesian experiment.
On projective toric varieties whose defining ideals have minimal generators of the highest degree
It is known that generators of ideals defining projective toric varieties of dimension embedded by global sections of normally generated line bundles have degree at most . We characterize projective toric varieties of dimension whose defining ideals must have elements of degree as generators.
On properties of geodesic -preinvex functions.
On quantum limits on flat tori.
On quasistars in -cubes
On rainbowness of semiregular polyhedra
We introduce the rainbowness of a polyhedron as the minimum number such that any colouring of vertices of the polyhedron using at least colours involves a face all vertices of which have different colours. We determine the rainbowness of Platonic solids, prisms, antiprisms and ten Archimedean solids. For the remaining three Archimedean solids this parameter is estimated.
On reduced pairs of bounded closed convex sets.
In this paper certain criteria for reduced pairs of bounded closed convex set are presented. Some examples of reduced and not reduced pairs are enclosed.
On Reuleaux triangles in Minkowski planes.
On rhombic dodecahedra.
On Schläfli's reduction formula.