… We focus here on the tilings of zonotopes (a,b,c,d,e)a,b,c,d,e≥1, that is, five-bundle rhombus
tiling spaces. In the conference version of this paper [4], we conjectured that equality of flip- …

… If we consider zonotopes of a fixed order, then the number of optimization variables and
number of constraints grows polynomial as well (with O(n2), if n > m). Therefore, the whole …

This paper deals with the problem of secure state estimation in an adversarial environment
with the presence of bounded noises. The problem is given as min-max optimization, that is, …

… graphic zonotopes of … zonotopes of K n . In Section 3.2, we show that the hyperplane
separation bound is at most a constant when applied to our linear description of graphic zonotopes (…

… , and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes. …
recall basic facts on cubillages of cyclic zonotopes used in the paper. For details, see [3]. A …

We present some computational methods in a particular case of mixing and separation theory,
as an application of classical results in the field of computational geometry. Our aim is the …

We consider the problem of minimizing a function that attains its minimum over a greedy
polytope at one of its vertices. This problem class contains many computationally intractable …

… The initial edges have the same lengths and are placed rotation symmetrically around an
axis, thus the model is a specifically arranged zonotope. Each mosaic consists of this model …

… Zonoids are defined as limits of zonotopes in the Hausdorff metric, where zonotopes are
Minkowski sum of line segments. Indeed, any origin-symmetric convex body in R 2 is a zonoid. …

… computations of zonotopes we show that the following location problem is NP-complete: …
We now show that zonotopes of the form appearing in INRADCROSSZON occur as projection …