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Document type:
Zeitschriftenaufsatz 
Author(s):
Dutour Sikirić, Mathieu and Garber, Alexey and Schürmann, Achill and Waldmann, Clara 
Non-TUM Co-author(s):
ja 
Cooperation:
international 
Title:
The complete classification of five-dimensional Dirichlet - Voronoi polyhedra of translational lattices 
Abstract:
This paper reports on the full classification of Dirichlet{--}Voronoi polyhedra and Delaunay subdivisions of five-dimensional translational lattices. A complete list is obtained of 110244 affine types ({\it L}-types) of Delaunay subdivisions and it turns out that they are all combinatorially inequivalent, giving the same number of combinatorial types of Dirichlet{--}Voronoi polyhedra. Using a refinement of corresponding secondary cones, 181394 contraction types are obtained. The paper gives deta...    »
 
Keywords:
Dirichlet-Voronoi polytope, Delaunay polytope, secondary cones, affine types, contraction types, topological mass formula, combinatorial enumeration 
Intellectual Contribution:
Discipline-based Research 
Journal title:
Acta Crystallographica Section A 
Journal listet in FT50 ranking:
nein 
Year:
2016 
Journal volume:
72 
Month:
Nov 
Journal issue:
Pages contribution:
673--683 
Key publication:
Ja 
Peer reviewed:
Ja 
International:
Ja 
Book review:
Nein 
Commissioned:
not commissioned 
Professional Journal:
Nein 
Interdisciplinarity:
Nein 
Mission statement:
Ethics and Sustainability:
Nein