… Recall that we can associate a zonotope to a hyperplane arrangement, such … zonotope is
called the W-permutahedron. Also, the fan of the arrangement is the normal fan of the zonotope…

… Let Z be a zonotope. A set E of edges of Z has the polygon property if, for every 2k-gonal face
… Let Z be a zonotope and let F be the normal fan of Z. Then a set E of edges of Z is the edge …

The present paper studies certain classes of closed convex sets in finite-dimensional real
spaces that are motivated by their application to convex maximization problems, most notably, …

… Translates of such bodies are called zonotopes and the members of the closure of the set
of all zonotopes with respect to the Hausdorff metric are called zonoids. The projection body K …

… Planar zonotope Defined by its center and 3 generators … relations: Lyapunov-like
characterization, Algorithms (LMIs, SOS, Optimization) – reachability computations based on …

… We begin with some preliminaries on edge-directions and zonotopes. A direction of an edge
(1-… The zonotope generated by a set of vectors E = {e1,...,em} in Rd is the following polytope, …

… polytope is the zonotope given by the Minkowski sum of the (n − 1)–cube and vector (1,..., 1).
… We prove in particular that the basis polytope of the n–cube is the zonotope given by the (n …

… The algorithm presented in this paper combined the use of zonotopes to represent the
reachable states in a semi-symbolic manner and a new algorithmic scheme based on the sharing …

… In [5] the procedure used is based on zonotope inclusion and an extension of the mean
value theorem, and returns a zonotope (ie an affine mapping of a hypercube) as estimation …

… Dually, we can also think of E(G, M) as the normal fan of the root zono tope Z(G, M) which
is by definition the Minkowski sum of the intervals [0, av], a £ Em- The faces of Z(G,M) …