Bravais colourings of planar modules with N-fold symmetry
نویسندگان
چکیده
منابع مشابه
Bravais colourings of planar modules with N -fold symmetry
The first step in investigating colour symmetries for periodic and aperiodic systems is the determination of all colouring schemes that are compatible with the symmetry group of the underlying structure, or with a subgroup of it. For an important class of colourings of planar structures, this mainly combinatorial question can be addressed with methods of algebraic number theory. We present the ...
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Planar coincidence site lattices and modules with N -fold symmetry are well understood in a formulation based on cyclotomic fields, in particular for the class number one case, where they appear as certain principal ideals in the corresponding ring of integers. We extend this approach to multiple coincidences, which apply to triple or multiple junctions. In particular, we give explicit results ...
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ژورنال
عنوان ژورنال: Zeitschrift für Kristallographie - Crystalline Materials
سال: 2004
ISSN: 2196-7105,2194-4946
DOI: 10.1524/zkri.219.2.72.26322