Add to ORKGThe contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we classify the facets of the contact polytope of the Leech lattice up to symmetry. There are 1,197,362,269,604,214,277,200 many facets in 232 orbits
AbstractLattices generated by lattice points in skeletons of reflexive polytopes are essential in de...
Graphs provide interesting ways to generate families of lattice polytopes. In particular, one can us...
AbstractIt has been found that there is an error in Venkov's proof of the uniqueness of the Leech la...
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we class...
© The Author(s) 2010. This article is published with open access at Springerlink.com Abstract The co...
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we class...
This paper catalogues and describes the properties of the Leech lattice and gives a basic introducti...
AbstractWe give a new, elementary, description of the Leech lattice in terms of octonions, thereby p...
We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, ...
Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech...
AbstractWe give an algorithm that constructs the Hasse diagram of the face lattice of a convex polyt...
This second part of my paper discusses the determination of the DIRICHLET - VORONOI cell of a ...
Toric log del Pezzo surfaces correspond to convex lattice polygons containing the origin in their in...
The lattice size of a lattice polytope is a geometric invariant which was formally introduced in the...
AbstractLet L be a lattice of dimension n≤24 such that the minimal vectors of L form a 6-design and ...
AbstractLattices generated by lattice points in skeletons of reflexive polytopes are essential in de...
Graphs provide interesting ways to generate families of lattice polytopes. In particular, one can us...
AbstractIt has been found that there is an error in Venkov's proof of the uniqueness of the Leech la...
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we class...
© The Author(s) 2010. This article is published with open access at Springerlink.com Abstract The co...
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we class...
This paper catalogues and describes the properties of the Leech lattice and gives a basic introducti...
AbstractWe give a new, elementary, description of the Leech lattice in terms of octonions, thereby p...
We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, ...
Consider the partial linear space on the images in ¿/2¿ of the shortest nonzero vectors in the Leech...
AbstractWe give an algorithm that constructs the Hasse diagram of the face lattice of a convex polyt...
This second part of my paper discusses the determination of the DIRICHLET - VORONOI cell of a ...
Toric log del Pezzo surfaces correspond to convex lattice polygons containing the origin in their in...
The lattice size of a lattice polytope is a geometric invariant which was formally introduced in the...
AbstractLet L be a lattice of dimension n≤24 such that the minimal vectors of L form a 6-design and ...
AbstractLattices generated by lattice points in skeletons of reflexive polytopes are essential in de...
Graphs provide interesting ways to generate families of lattice polytopes. In particular, one can us...
AbstractIt has been found that there is an error in Venkov's proof of the uniqueness of the Leech la...