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A New Algorithm in Geometry of Numbers
University of Glamorgan, Pontypridd, Wales July 09-July 11
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISVD.2007.64th International Symposium on Vorono ...
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Mathieu Dutour, Konstantin Rybnikov, "A New Algorithm in Geometry of Numbers," International Symposium on Voronoi Diagrams in Science and Engineering, pp. 182-188, 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007), 2007.
 
 
BibTex
x
 
@article{ 10.1109/ISVD.2007.6,
author = {Mathieu Dutour and Konstantin Rybnikov},
title = {A New Algorithm in Geometry of Numbers},
journal ={International Symposium on Voronoi Diagrams in Science and Engineering},
volume = {0},
year = {2007},
isbn = {0-7695-2869-4},
pages = {182-188},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISVD.2007.6},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - International Symposium on Voronoi Diagrams in Science and Engineering
TI - A New Algorithm in Geometry of Numbers
SN - 0-7695-2869-4
SP182
EP188
A1 - Mathieu Dutour,
A1 - Konstantin Rybnikov,
PY - 2007
KW - null
VL - 0
JA - International Symposium on Voronoi Diagrams in Science and Engineering
ER -
 
Mathieu Dutour, Rudjer Boskovic Institute, Croatia
Konstantin Rybnikov, University of Massachusetts at Lowell, USA
A lattice Delaunay polytope P is called perfect if its Delaunay sphere is the only ellipsoid circumscribed about P. We present a new algorithm for finding perfect Delaunay polytopes. Our method overcomes the major shortcomings of the previously used method [Du05]. We have implemented and used our algorithm for finding perfect Delaunay polytopes in dimensions 6, 7, 8. Our findings lead to a new conjecture that sheds light on the structure of lattice Delaunay tilings.
Citation:
Mathieu Dutour, Konstantin Rybnikov, "A New Algorithm in Geometry of Numbers," isvd, pp.182-188, 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007), 2007
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