Skip to main content

Part of the book series: NATO ASI Series ((NSSB,volume 166))

  • 168 Accesses

Abstract

This lecture deals with the theory of quasiperiodic tilings, and more generally with quasiperiodic patterns. We present the ideas introduced in [9] and developed in [10].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Schechtman, I. Blech, D. Gratias and J. W. Cahn, Phys. Rev. Let. — 53, 195 (1984).

    ADS  Google Scholar 

  2. R. Penrose, Math Intelligencer 2, 32 (1979).

    Article  MathSciNet  Google Scholar 

  3. M. Gardner, Sci. Am. 236, 110 (1977).

    Article  ADS  Google Scholar 

  4. A. L. Mackay, Physica 114A, 609 (1982); Kristallografiya 26, 909 (1981), 909 (Sov. Phys. Crystallogr. 26, 517 (1981).

    Article  ADS  Google Scholar 

  5. R. Mosseri and J. F. Sadoc, “Structure of Non-crystalline Materials 1982,” Gaskell et al., eds. (London, Taylor and Francis, 1983).

    Google Scholar 

  6. N. G. de Bruijn, Nederl. Akad. Wetensch. Proc. A43, 39–66 (1981).

    Article  Google Scholar 

  7. P. Kramer and R. Neri, Acta Crystallogr. A40, 580–587 (1984).

    Article  Google Scholar 

  8. P. A. Kalugin, A. Yu. Kitayev and L. S. Levitov, J. Physique Lett. 46, 601 (1985); JETP Lett. 41, 145 (1985).

    Article  Google Scholar 

  9. M. Duneau and A. Katz, Phys. Rev. Let. 54, 2688 (1985).

    Article  ADS  Google Scholar 

  10. A. Katz and M. Duneau, J. de Physique 47, 181 (1986).

    Article  MathSciNet  Google Scholar 

  11. D. Levine and P. Steinhardt, Phys. Rev. Let. 53, 2477 (1984).

    Article  ADS  Google Scholar 

  12. V. Elser, Acta Cryst. A42, 36 (1986).

    Article  Google Scholar 

  13. Les Houces Workshop on Aperiodic Crystals, 11–22 March 1986, L. Michel and D. Gratias, eds., to be published in Journal de Physique (Colloque).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Plenum Press, New York

About this chapter

Cite this chapter

Katz, A., Duneau, M. (1987). Quasiperiodic Patterns with Icosahedral Symmetry. In: Scott, J.F., Clark, N.A. (eds) Incommensurate Crystals, Liquid Crystals, and Quasi-Crystals. NATO ASI Series, vol 166. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-0184-5_29

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-0184-5_29

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-0186-9

  • Online ISBN: 978-1-4757-0184-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics