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On Lattice Dicing

✍ Scribed by R.M. Erdahl; S.S. Ryshkov

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
824 KB
Volume
15
Category
Article
ISSN
0195-6698

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✦ Synopsis

A lattice dicing is an arrangement of hyperplanes with sufficient regularity so that the vertices of the resulting partition form a lattice. In this paper we introduce the notion of lattice dicing and point out how lattice dicings relate to geometry of numbers. We give a complete description of the possible lattice dicings of (\mathbb{R}^{n}) and (n \leqslant 5).

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