Abstract
Even when reduced to its simplest form, namely that of point sets in euclidean space, the phenomenon of genuine quasi-periodicity appears extraordinary. Although it seems unfruitful to try and define the concept precisely, the following properties may be considered as representative:
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discreteness;
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extensiveness;
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finiteness of local complexity;
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repetitivity;
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diffractivity;
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aperiodicity;
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existence of exotic symmetry (optional).
Dedicated to the memory of Richard (Dick) Slansky The spirit of the universe is subtle and informs all life. Things live and die and change their forms, without knowing the root from which they come. Abundantly it multiplies; eternally it stands by itself. The greatest reaches of space do not leave its confines, and the smallest down of a bird in autumn awaits its power to assume form.
— Chuang Tzu (tr. Lin Yutang)
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Moody, R.V. (2000). Model Sets: A Survey. In: Axel, F., Dénoyer, F., Gazeau, JP. (eds) From Quasicrystals to More Complex Systems. Centre de Physique des Houches, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04253-3_6
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