… Projection bodies of convex polytopes, called zonotopes, have appeared in optimization, …
Since F was an arbitrary two-face of Q, the polytope Q is a zonotope (see [26, Theorem 3.5.1]). …

2 D -gon tilings with parallelograms are a model used in physics to study quasicrystals, and
they are also important in combinatorics for the study of aperiodic structures. In this paper, …

… The main idea of enclosure methods is to enclose uncertain/inexact data by means of simple
representable sets such as interval boxes, ellipsoids, polytopes, zonotopes, etc. In the case …

… Two other ways of viewing a zonotope is as the affine projection of a cube from higher …
A zonotope in d dimensions built from n bricks has at least d corner bricks if n ≥ d + 1. If n<d …

This paper deals with guaranteed state estimation in a bounded-error context for an aerospace
model. Perturbations are assumed bounded but otherwise unknown. The main tools to …

… Attempts have been made to enclose the images of the initial conditions by high order
zonotopes, ie, bodies which are the finite sum of parallelepipeds [7]. These methods have been …

… The Minkowski sum of segments is a convex centrally symmetric polytope called a zonotope
[Zie94]. The complexity of a zonotope in the plane is at most twice the number of generating …

The paper discusses various issues related to lattice points in rational polyhedra. The topics
include e cient enumeration of lattice points,\short" generating functions for lattice points in …

… An polytope Z in Re is a zonotope if it is the affine projection of a cube. Specifically, there exists
… translates of cubes, it is not unreasonable to hope that faces of zonotopes are zonotopes. …

… Voronoi's conjecture holds for the special case where the parallelohedron is a zonotope. …
, Delaunay decompositions, lattice points, zonotopes, and other objects of discrete geometry. A …