A Criterion for the Affine Equivalence of Cell Complexes in Rd and Convex Polyhedra in Rd+1 .
A lower bound on packing density.
A New Bound on the Local Density of Sphere Packings.
A new sphere packing in 20 dimensions.
A note on the realizaiton of distances within sets in euclidean space.
A note on the ten-neighbour packings of equal balls
A point set everywhere dense in the plane.
A Reduction of Lattice Tiling by Translates of a Cubical Cluster.
A remark about the directed line-elements in the plane
A Remark to the Paper of H. Hadwiger "Überdeckung des Raumes durch translationsgleiche Punktmengen und Nachbarnzahl".
A Stability Property of the Densest Circle Packing.
Algorithms for Triangulating Polyhedra Into a Small Number of Tethraedra
An alternative proof of Petty's theorem on equilateral sets
The main goal of this paper is to provide an alternative proof of the following theorem of Petty: in a normed space of dimension at least three, every 3-element equilateral set can be extended to a 4-element equilateral set. Our approach is based on the result of Kramer and Németh about inscribing a simplex into a convex body. To prove the theorem of Petty, we shall also establish that for any three points in a normed plane, forming an equilateral triangle of side p, there exists a fourth point,...
An On-Line Potato-Sack Theorem.
Asymptotic volume formulae and hyperbolic ball packing.
Ausbohrung von Rhomben