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» Arithmetic Discrete Planes Are Quasicrystals
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DGCI
2009
Springer
15 years 11 months ago
Arithmetic Discrete Planes Are Quasicrystals
Valérie Berthé
106
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DMCCG
2001
Springer
153views Combinatorics» more  DMCCG 2001»
15 years 9 months ago
Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions
Pierre Arnoux, Valérie Berthé, Hirom...
DGCI
2009
Springer
15 years 11 months ago
On the Connecting Thickness of Arithmetical Discrete Planes
Eric Domenjoud, Damien Jamet, Jean-Luc Toutant
DGCI
2006
Springer
15 years 8 months ago
Recognition of Blurred Pieces of Discrete Planes
We introduce a new discrete primitive, the blurred piece of a discrete plane, which relies on the arithmetic definition of discrete planes. It generalizes such planes, admitting th...
Laurent Provot, Lilian Buzer, Isabelle Debled-Renn...
DGCI
2005
Springer
15 years 10 months ago
Generalized Functionality for Arithmetic Discrete Planes
Naive discrete planes are well known to be functional on a coordinate plane. The aim of our paper is to extend the functionality concept to a larger family of arithmetic discrete ...
Valérie Berthé, Christophe Fiorio, D...