Skip to main content

Thank you for visiting You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Materials science

A tale of two tilings

What do you get when you cross a crystal with a quasicrystal? The answer is a structure that links the ancient tiles of Archimedes, the iconic Fibonacci sequence of numbers and a book from the seventeenth century.

This is a preview of subscription content, access via your institution

Relevant articles

Open Access articles citing this article.

Access options

Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.

Figure 1: A tiling structure based on the Fibonacci chain.


  1. Janot, C. Quasicrystals: A Primer 2nd edn (Oxford Univ. Press, 1997).

    MATH  Google Scholar 

  2. Man, W., Megens, M., Steinhardt, P. J. & Chaikin, P. M. Nature 436, 993–996 (2005).

    ADS  CAS  Article  Google Scholar 

  3. Mikhael, J., Roth, J., Helden, L. & Bechinger, C. Nature 454, 501–504 (2008).

    ADS  CAS  Article  Google Scholar 

  4. Roichman, Y. & Grier, D. Opt. Express 13, 5434–5439 (2005).

    ADS  Article  Google Scholar 

  5. Steinhardt, P. J. Nature 452, 43–44 (2008).

    ADS  CAS  Article  Google Scholar 

  6. Ledieu, J. et al. Phys. Rev. B 72, 035420 (2005).

    ADS  Article  Google Scholar 

  7. Glotzer, S. C. & Solomon, M. J. Nature Mater. 6, 557–562 (2007).

    Article  Google Scholar 

  8. Ueda, K., Dotera, T. & Gemma, T. Phys. Rev. B 75, 195122 (2007).

    ADS  Article  Google Scholar 

  9. Keys, A. S. & Glotzer, S. C. Phys. Rev. Lett. 99, 235503 (2007).

    ADS  Article  Google Scholar 

Download references

Author information

Authors and Affiliations


Rights and permissions

Reprints and Permissions

About this article

Cite this article

Glotzer, S., Keys, A. A tale of two tilings. Nature 454, 420–421 (2008).

Download citation

  • Published:

  • Issue Date:

  • DOI:

This article is cited by


Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing