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COMBINATORICS
1998
86views more  COMBINATORICS 1998»
13 years 4 months ago
Lattice Tilings by Cubes: Whole, Notched and Extended
We discuss some problems of lattice tiling via Harmonic Analysis methods. We consider lattice tilings of Rd by the unit cube in relation to the Minkowski Conjecture (now a theorem...
Mihail N. Kolountzakis
DM
2000
66views more  DM 2000»
13 years 4 months ago
Tiling with notched cubes
Robert Hochberg, Michael Reid
GI
1998
Springer
13 years 9 months ago
An Efficient Strategy for Tiling Multidimensional OLAP Data Cubes
Computing aggregates over selected categories of multidimensional discrete data (MDD) cubes is the core operation of many on-line analytical processing (OLAP) systems. In order to...
Paolo Marques, Paula Furtado, Peter Baumann
FOCS
2008
IEEE
13 years 11 months ago
Spherical Cubes and Rounding in High Dimensions
What is the least surface area of a shape that tiles Rd under translations by Zd ? Any such shape must have volume 1 and hence surface area at least that of the volume-1 ball, nam...
Guy Kindler, Ryan O'Donnell, Anup Rao, Avi Wigders...
GECCO
2007
Springer
230views Optimization» more  GECCO 2007»
13 years 11 months ago
Activation energy-based simulation for self-assembly of multi-shape tiles
Building artificial systems using self-assembly is one of the main issues of artificial life [17]. Scientists are trying to understand this process either using experimental appro...
Mostafa Mostafa Hashim Ellabaan