Abstract
The role played by the lattice for the atomic positions in a normal crystal is taken over in a quasicrystal by a vector module M spanned by all integral linear combinations of n basis vectors. The integer n is the rank of M and is larger than the dimension m of the physical space, which is also the dimension of the vector module.
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Janner, A. (1990). Metrical Aspects of Quasicrystal Embedding in Superspace. In: Tolédano, JC. (eds) Geometry and Thermodynamics. NATO ASI Series, vol 229. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3816-5_5
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DOI: https://doi.org/10.1007/978-1-4615-3816-5_5
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