20 citations · 38 across the 4 of their papers we have counts for
4 papers
Coloring the Voronoi tessellation of lattices
Mathieu Dutour Sikirić, David Madore, Philippe Moustrou +1
In this paper we define the chromatic number of a lattice: It is the least number of colors one needs to color the interiors of the cells of the Voronoi tessellation of a lattice s…
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices
Mathieu Dutour Sikirić, Alexey Garber, Achill Schürmann +1
In this paper we report on the full classification of Dirichlet-Voronoi polyhedra and Delaunay subdivisions of five-dimensional translational lattices. We obtain a complete list of…
On the toplogical computation of K4 of the Gaussian and Eisenstein integers
Mathieu Dutour Sikiric, Herbert Gangl, Paul E. Gunnells +3
In this paper we use topological tools to investigate the structure of the algebraic K-groups K_4 (Z[i]) and K_4 (Z[rho]), where i := sqrt{-1} and rho := (1+sqrt{-3})/2. We exploit…
The contact polytope of the Leech lattice (complete version)
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
The 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. Ther…