… We can deduce from this that all faces of a zonotope are zonotopes themselves. If the line
segments generating a d-dimensional zonotope are in general position, then its faces are (d − …

We define a new stochastic order for random vectors in terms of the inclusion relation for the
Aumann expectation of certain random sets. We derive some properties of this order, relate …

… Zusammenfassend können wir den folgenden Satz formulieren, der mit dem Begriff des
Zonotopes (des ndimensionalen Zonoeders) verbunden ist, also mit der Minkowski-Summe von …

… First, a precise formula for the number of vertices in a so-called zonotope is given. A zonotope
is by definition the Minkowski sum of a number of line segments. Thus if vi,wi ∈ Rd, i = 1,...,…

… symmetric; they are called zonotopes, since their facets are arranged in zones. A convex
body which can be approximated, in the Hausdorff metric, by zonotopes, is called a zonoid. …

… Fukuda, From the Zonotope Construction to the Minkowski Addition of Convex Polytopes. …

We give a positive answer for the special case of the Generalized Baues Problem which asks
whether the complex of triangulations of a point set A in general position in the plane has …

… In this way, we can view ρ(P T (1,1)) as a zonotope (ie, an affine transformation of a …
Therefore, the zonotope ρ(P T (1,1)=C T ) has volume 2. Also, since the cross polytope C T ∗ is …

… Otherwise, one should resort to standard multiplication rules for affine forms [3], [4] since
the goal in affine arithmetic is to minimize the “volume” of the implied zonotopes, not just the …

… vector is exact component by component but overestimates the correct range of values
which is a convex polyhedron (zonotope). See [9] for a detailed description of zonotopes. …