… We prove the second Voronoi conjecture on parallelohedra for zonotope. We show that for …
copies of zonotope Z there are d vectors, connecting centers of zonotopes with common facet, …

… case in which P is a zonotope (see Section 2 for definitions). In … for monotone paths on
zonotopes of fixed dimension as well as … Let Z be a zonotope of dimension d > 2 with n generators …

… Abstract: This paper proposes a robust fault detection observer based on zonotopes for
discrete-time uncertain systems with sensor faults and unknown but bounded uncertainties. The …

… There are a few more “obvious” properties of zonotopes: for example, all zonotopes are
centrally symmetric. Also, since every face of a cube is a (translated) cube, we get that every …

… Afterwards, we provide algorithm for exact reachable set computation using zonotopes. Finally,
… of zonotope Z. On figure 2 we show a zonotope construction with three generators in R2. …

… zonotope, and the natural structure dual to an affine arrangement is a zonotopal tiling. Hence,
we define a construction which takes a zonotope … a zonotope, and all other zonotopes will …

Planar and spatial symmetry groups are the base of several works in different branches of
art. Our symmetric models of the hypercube and the symmetrically arranged periodical …

… In this paper, we deal with the asymmetric Orlicz zonotopes by using the method of
shadow system. We establish the volume product inequality and volume ratio inequality for …

… zonotope Tn related to these functions and describe its coordinates in terms of a measure of
voting power. We also give a voting interpretation of the coordinates of the derived zonotope …

Recently, autonomous ships in the field of shipbuilding have become popular. Among the
various technologies of autonomous ships, autonomous berthing is very important. Thus, a …