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Properties of parallelotopes equivalent to Voronoi’s conjecture

  • Published:2004-05 Issue:4 Volume:25 Page:517-533
  • ISSN:0195-6698
  • Container-title:European Journal of Combinatorics
  • language:en
  • Short-container-title:European Journal of Combinatorics

Author:

Deza Michel,Grishukhin Viacheslav

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics

Reference13 articles.

1. On filling of space by polytopes;Aleksandrov;Vestnik Leningradskogo Univ., Ser. Math, Phys. Chem.,1954

2. Affine equivalence of cell complexes in Rd and convex polyhedra in Rd+1;Aurenhammer;Discrete Comput. Geom.,1987

3. Zonotopes, dicings and Voronoi’s conjecture on parallelohedra;Erdahl;European J. Combin.,1999

4. The set of non-linearity of a convex piecwise-linear function;Davis;Scripta Mathematica,1959

5. Sur la partition régulière de l’espace á 4 dimension;Delaunay;Izvestia AN SSSR, otdel. fiz.-mat. nauk,1929

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1. Voronoi conjecture for special free parallelotopes;Moscow Journal of Combinatorics and Number Theory;2021-06-23

2. On the Voronoi Conjecture for Combinatorially Voronoi Parallelohedra in Dimension 5;SIAM Journal on Discrete Mathematics;2020-01

3. Uniquely scaled dual cells;European Journal of Combinatorics;2019-08

4. The Voronoi Conjecture for Parallelohedra with Simply Connected $$\delta $$ δ -Surfaces;Discrete & Computational Geometry;2015-02-07

5. Geometry of lifts of tilings of Euclidean spaces;Proceedings of the Steklov Institute of Mathematics;2015-01
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