Geodesic
Quasicrystallic tilings and projection method
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Tome 283 (2001), pp. 178-192

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Basic notions related to quasiperiodic tilings and Delone sets in Eucledean space are discussed. It is shown how the cut and project method of constructing them is used to calculate their spectra. Special attention is paid to self-similar tilings and the way one can obtain one-dimensional substitutional tilings by the projection scheme. 
@article{ZNSL_2001_283_a11,
     author = {A. A. Lodkin},
     title = {Quasicrystallic tilings and projection method},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {178--192},
     publisher = {mathdoc},
     volume = {283},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_283_a11/}
}
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A. A. Lodkin. Quasicrystallic tilings and projection method. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Tome 283 (2001), pp. 178-192. http://geodesic.mathdoc.fr/item/ZNSL_2001_283_a11/