Factorization results with combinatorial proofs.
Filling a box with translates of two bricks.
Finite and infinite packings.
Finite and Uniform Stability of Sphere Coverings.
Finite Coverings by Translates of Centrally Symmetric Convex Domains.
Finite Sphere Packing and Sphere Covering.
Finite sphere packings and critical radii.
Flexible cross-polytopes in the Euclidean 4-space.
Flight in a Packing of Disks.
Formality of the complements of subspace arrangements with geometric lattices.
Formes quadratiques encapsulées
Four series of hyperbolic space groups with simplicial domains, and their supergroups
Fourier analysis, linear programming, and densities of distance avoiding sets in
We derive new upper bounds for the densities of measurable sets in which avoid a finite set of prescribed distances. The new bounds come from the solution of a linear programming problem. We apply this method to obtain new upper bounds for measurable sets which avoid the unit distance in dimensions . This gives new lower bounds for the measurable chromatic number in dimensions . We apply it to get a short proof of a variant of a recent result of Bukh which in turn generalizes theorems of Furstenberg,...
Fractal Penrose tiles II: Tiles with fractal boundary as duals of Penrose triangles.
Fractal Penrose tilings I. Construction and matching rules.
Free Arrangements and Relation Spaces.
Free hyperplane arrangements between A n -1 and Bn.
Fresnel zones on the screen.
Gale duality for complete intersections
We show that every complete intersection defined by Laurent polynomials in an algebraic torus is isomorphic to a complete intersection defined by master functions in the complement of a hyperplane arrangement, and vice versa. We call systems defining such isomorphic schemes Gale dual systems because the exponents of the monomials in the polynomials annihilate the weights of the master functions. We use Gale duality to give a Kouchnirenko theorem for the number of solutions to a system of master...
Generalisations of the Tits representation.