Tilings of the Square with Similar Rectangles.
Tilings with the neighborhood property.
Topological criteria for -formal arrangements.
Topological Order Complexes and Resolutions of Discriminant Sets
Topological order complexes and resolutions of discriminant sets.
Topology of arrangements and position of singularities
This work contains an extended version of a course given in Arrangements in Pyrénées. School on hyperplane arrangements and related topics held at Pau (France) in June 2012. In the first part, we recall the computation of the fundamental group of the complement of a line arrangement. In the second part, we deal with characteristic varieties of line arrangements focusing on two aspects: the relationship with the position of the singular points (relative to projective curves of some prescribed degrees)...
Tori in dichten gitterförmigen Kugelpackungen
Towards Sub-cellular Modeling with Delaunay Triangulation
In this article a novel model framework to simulate cells and their internal structure is described. The model is agent-based and suitable to simulate single cells with a detailed internal structure as well as multi-cellular compounds. Cells are simulated as a set of many interacting particles, with neighborhood relations defined via a Delaunay triangulation. The interacting sub-particles of a cell can assume specific roles – i.e., membrane sub-particle, internal sub-particle, organelles, etc –,...
Transformationen von Polyedern in Polyederketten.
Translative packing of a convex body by sequences of its homothetic copies
Every sequence of positive or negative homothetic copies of a planar convex body whose total area does not exceed times the area of can be translatively packed in .
Translative packing of a square with sequences of squares
Let S be a square and let S' be a square of unit area with a diagonal parallel to a side of S. Any (finite or infinite) sequence of homothetic copies of S whose total area does not exceed 4/9 can be packed translatively into S'.
Triangulations and lattice points.
Tropical convexity.
Two Constructions of Oriented Matroids with Disconnected Extension Space.
Two interesting oriented matroids.
Two Isoperimetric Inequalities with Lattice Constraints.
Two problems concerning the area-perimeter ratio of lattice-point-free regions in the plane.
Two-distance preserving functions.