For n> 6 we provide a counterexample to the conjecture that every integral vector of a n-dimensional
integral polyhedral pointed cone C can be written as a nonnegative integral …

… Dies sind diejenigen konvexen Körper, die beliebig genau durch Zonotope approximiert
werden können – durch Polytope, deren Seiten sämtlich zentralsymmetrisch sind. Eine andere …

In this paper intervals are viewed as approximate real numbers. A revised formula for
interval multiplication of generalized intervals is given. This formula will be useful for further …

The topic of this thesis is the geometry of low dimensional lattices. The main subjects are the
classification of space tiling polytopes and the exploration of efficient coverings of space by …

… Se ha denominado método del zonotope a un conjunto de operaciones … llamada zonotope.
Esta tesis propone nuevos algoritmos para implementar ciertas operaciones con zonotopes. …

… zonotope (ie, the Minkowski sum of the line segments which are normal to the hyperplanes
in the arrangement). It turns out that for the braid arrangement the dual zonotope … zonotope …

A parallelotope is a polytope whose translation copies fill space without gaps and intersections
by interior points. Voronoi conjectured that each parallelotope is an affine image of the …

We consider families of sparse Laurent polynomials f 1 , … , f n with a finite set of common
zeros Z f in the torus T n = ( C − { 0 } ) n . The global residue assigns to every Laurent …

Teaching the topic of linear models is a complex process. A new teaching process will be
investigated which we will consider in two different ways: on one hand linear models and …

… This sort of polytope associated with a central hyperplane arrangement is called a zonotope.
The permutahedron is a famous example. A more precise description of Σd is that it is a …