Add to ORKGWe show that the number of lattice directions in which a d- dimensional convex body in Rd has minimum width is at most 3d -1, with equality only for the regular cross-polytope. This is deduced from a sharpened version of the 3d-theorem due to Hermann Minkowski (22 June 1864-12 January 1909), for which we provide two independent proofs
Abstract The Minkowski condition for convex polytopes is equivalent to the divergence theorem of cla...
A family of homothets of an o-symmetric convex body K in d-dimensional Euclidean space is called a M...
The main result of this paper is an inequality relating the lattice point enumerator of a 3-dimensio...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the minimum number of distinct edge-directions of a convex polytope with n vertices in ...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
AbstractAt the turn of the century, Minkowski published his famous “convex body” theorem which becam...
To each convex body K one can assign an isometrical invariant L*(K), which is the smallest number of...
Abstract The Minkowski condition for convex polytopes is equivalent to the divergence theorem of cla...
A family of homothets of an o-symmetric convex body K in d-dimensional Euclidean space is called a M...
The main result of this paper is an inequality relating the lattice point enumerator of a 3-dimensio...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d- dimensional convex body in Rd has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the number of lattice directions in which a d-dimensional convex body in R^d has minimu...
We show that the minimum number of distinct edge-directions of a convex polytope with n vertices in ...
AbstractWe show that the minimum number of distinct edge-directions of a convex polytope with n vert...
AbstractAt the turn of the century, Minkowski published his famous “convex body” theorem which becam...
To each convex body K one can assign an isometrical invariant L*(K), which is the smallest number of...
Abstract The Minkowski condition for convex polytopes is equivalent to the divergence theorem of cla...
A family of homothets of an o-symmetric convex body K in d-dimensional Euclidean space is called a M...
The main result of this paper is an inequality relating the lattice point enumerator of a 3-dimensio...