… We will denote the zonotope generated by V as Z(V ). As mentioned before, it is typically
useful when objects can be decomposed as unions of simpler objects, eg the theory of …

… Following Galashin [6], we define tilings of the cyclic zonotope as collections of signed
subsets. A pair \(X = (X^+,X^-)\) of disjoint subsets of [n] is called a signed subset of [n], and we …

… represented using n-dimensional geometric objects such as zonotopes [5] , polyhedra [6], or
… and the approximation error is used to inflate zonotope sets. Another method uses optimal …

Through tropical normal idempotent matrices, we introduce isocanted alcoved polytopes,
computing their $ f $--vectors and checking the validity of the following five conjectures: Bárány…

… Now we deal with the zonotope generated by a “cyclic configuration” \(\Theta \) of vectors
in the space \({\mathbb {R}}^3\) with coordinates (x, y, z). It consists of n vectors \(\theta _i=(1,y_i,…

… facts about zonotopes [22]–[24]. 1) Zonotopes and zonoids: A d-dimensional zonotope Zn is
… limiting compact convex set of a sequence of zonotopes (Minkowski sum of line segments). …

… More broadly existing attempts to DNN certification rely either on zonotope calculus,
linear programming (LP) or hierarchies of SDP based on positivity certificates from algebraic …

… a graph G, the skeleton of the graphical zonotope of G. We then proceed to show that graphical
zonotopes and graph associahedra have a common generalization called hypergraphic …

… [27], and combinations of support functions and zonotopes [28]. We propose zonotopes, …
the system inputs take values in zonotopes, reachable sets are zonotopes as well and easily …

… Recall that the zonotope is a polyhedron, represented as the Minkowski sum of segments,
and the zonoid is a limit of a sequence of zonotopes converging with respect to the Hausdorff …