The Voronoi polyhedra of the rooted lattice E6 and of its dual lattice (original) (raw)

Abstract

The paper contains a detailed description of the Voronoi polyhedra PV(_E_6) of the rooted lattice _E_6 and of the lattice dual to _E_6. For these polyhedra, tables of types of all faces and the number of faces of each type are given. It is known that the polyhedron PV(_E_6) is the union of the Schläfli polyhedron _P_Schl and its antipodal polyhedron – _P_Schl. In this paper, it is proved that is the intersection of these polyhedra.