Abstract
The purpose of this talk is to bring to your attention recent new general approaches to the structure of what we call pentacrystals [1, 2, 3, 4]. A pentacrystal is any quasicrystal whose points can be written, relative to some basis {u 1,..., u n} of a real n-dimensional Euclidean space ℝn, with coefficients in ℚ[\(\sqrt 5\)], the quadratic extension of the rational number field ℚ. In these lecture notes all quasicrystals are pentacrystals even if they do.not display local 5-fold symmetry.
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© 1995 Springer-Verlag Berlin Heidelberg
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Patera, J. (1995). The pentacrystals. In: Axel, F., Gratias, D. (eds) Beyond Quasicrystals. Centre de Physique des Houches, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03130-8_2
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DOI: https://doi.org/10.1007/978-3-662-03130-8_2
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