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A071882
Number of contraction types of n-dimensional parallelohedra.
4
1, 1, 2, 5, 52, 179372
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OFFSET
0,3
COMMENTS
Or, number of inequivalent Delaunay [Delone] decompositions of R^n.
Sikiric et al. say that actually a(5) = 181394. -
Andrey Zabolotskiy
, Mar 02 2019
LINKS
Table of n, a(n) for n=0..5.
Mathieu Dutour Sikirić, Alexey Garber, Achill Schürmann, Clara Waldmann,
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices
, Acta Crystallographica A72 (2016), 673-683; arXiv:
1507.00238
[math.MG], 2015-2016.
P. Engel,
The contraction types of parallelohedra in E^5
, Acta Cryst. A 56 (2000), 491-496.
M. I. Stogrin,
Regular Dirichlet-Voronoi partitions for the second triclinic group
, Trudy Matematicheskogo Instituta imeni V. A. Steklova, 123 (1973) = Proceedings of the Steklov Institute of Mathematics, 123 (1973).
CROSSREFS
Cf.
A071880
,
A071881
.
Sequence in context:
A081090
A330282
A071880
*
A206848
A081482
A134475
Adjacent sequences:
A071879
A071880
A071881
*
A071883
A071884
A071885
KEYWORD
nonn
,
hard
,
nice
,
more
AUTHOR
N. J. A. Sloane
, Jun 10 2002
STATUS
approved
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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)