Publications (20)
Polyhedral representation conversion up to symmetries
David Bremner, Mathieu Dutour Sikiric, Achill Schuermann
Perfect but not generating Delaunay polytopes
Mathieu Dutour Sikiric, Konstantin Rybnikov
Enumeration of the facets of cut polytopes over some highly symmetric graphs
Michel Deza, Mathieu Dutour Sikiric
Complexity and algorithms for computing Voronoi cells of lattices
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
A generalization of Voronoi's reduction theory and its application
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
Wythoff polytopes and low-dimensional homology of Mathieu groups
Mathieu Dutour Sikiric, Graham Ellis
How to compute the rank of a Delaunay polytope
Mathieu Dutour Sikiric, Viatcheslav Grishukhin
On the sum of the Voronoi polytope of a lattice with a zonotope
Mathieu Dutour Sikiric, Viatcheslav Grishukhin, Alexander Magazinov
Inhomogeneous extreme forms
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
Fullerene-like spheres with faces of negative curvature
Mathieu Dutour Sikiric, Michel Deza, Mikhail Shtogrin
On the integral homology of PSL4(Z) and other arithmetic groups
Mathieu Dutour Sikiric, Graham Ellis, Achill Schuermann
The seven dimensional perfect Delaunay polytopes and Delaunay simplices
Mathieu Dutour Sikiric
Automorphism groups of root systems matroids
Mathieu Dutour Sikiric, Anna Felikson, Pavel Tumarkin
Closure of principal L-type domain and its parallelotopes
Mathieu Dutour Sikiric, Viacheslav Grishukhin
On the cohomology of linear groups over imaginary quadratic fields
Herbert Gangl, Paul E. Gunnells, Jonathan Hanke +3
({2,3}, 6)-spheres and their generalizations
Michel Deza, Mathieu Dutour Sikiric
The decomposition of the hypermetric cone into L-domains
Mathieu Dutour Sikiric, Viatcheslav Grishukhin
4-regular and self-dual analogs of fullerenes
Mathieu Dutour Sikiric, Michel Deza
The contact polytope of the Leech lattice (complete version)
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
Delaunay polytopes derived from the Leech lattice
Mathieu Dutour Sikiric, Konstantin Rybnikov