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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 283, Pages 178–192 (Mi znsl1529)  
Quasicrystallic tilings and projection method

A. A. Lodkin

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (273 kB)
Abstract: 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.
Received: 28.11.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 3, Pages 2393–2400
DOI: https://doi.org/10.1023/B:JOTH.0000024620.87599.fa
Bibliographic databases:
UDC: 514.87+517.443+517.982.43+517.987.5
Language: Russian
Citation: A. A. Lodkin, “Quasicrystallic tilings and projection method”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Zap. Nauchn. Sem. POMI, 283, POMI, St. Petersburg, 2001, 178–192; J. Math. Sci. (N. Y.), 121:3 (2004), 2393–2400
Citation in format AMSBIB
\Bibitem{Lod01}
\by A.~A.~Lodkin
\paper Quasicrystallic tilings and projection method
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~VI
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 283
\pages 178--192
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1529}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879069}
\zmath{https://zbmath.org/?q=an:1069.37012}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 3
\pages 2393--2400
\crossref{https://doi.org/10.1023/B:JOTH.0000024620.87599.fa}
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