… For example, the cotangent fan of the zonotope P … and only if there exists a polytope P0 such
that P þ P0 is an R-zonotope. … Since the normal fan of an R-zonotope is SðRÞ, the assertion …

The tight span of a finite metric space ( X , d ) is the metric space T ( X , d ) consisting of the
compact faces of the polytope P ( X , d ) ≔ { f ∈ R X : f ( x ) + f ( y ) ⩾ d ( x , y ) for all x , y ∈ X } , …

In this chapter we discuss two methods of ‘adding together’ two polytopes to form a third. The
first of these, vector addition or Minkowski addition as it is sometimes called, has already …

… A polytope is said to be a zonotope if it is represented as the Minkowski sum of a finite number
of line … in convex analysis clarifies the relationship between a hyperplane and a zonotope. …

This book constitutes the refereed proceedings of the 7th International Workshop on Algorithms
and Data Structures, WADS 2001, held in Providence, RI, USA in August 2001. The 40 …

… polygons [42] as well as the related zonotopes [19]. The latter are linear transformations …
From a formal point of view, the zonotope methods are interesting because not only are they …

Verifying a safe locomotion of cognitive cars is indispensable for their participation in road
traffic. This paper suggests an approach for verifying safety by computing reachable sets for …

One can always decompose Dirichlet-Voronoi polytopes of lattices non-trivially into a Minkowski
sum of Dirichlet-Voronoi polytopes of rigid lattices. In this report we show how one can …

This paper will discuss the interaction between multivariate analysis, least squares regression
and non-linear programming, and the relationship between the quadratic programming …

… In addition, edges may be split to form parallelograms, (or more general zonotopes) which
are also visible in Figures 5 and 6. The relative sizes of these parallelograms are proportional …