Algebraic Solution of the Coincidence Problem in Two and Three Dimensions
Open Access
- 1 August 1995
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 50 (8) , 711-717
- https://doi.org/10.1515/zna-1995-0802
Abstract
The coincidence problem is analyzed in an illustrative fashion for some lattices and modules in two and three dimensions which are important for crystals and quasicrystals. We give a complete description of the groups of coincidence rotations with their associated indices and encapsulate their statistics by means of generating functions.Keywords
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