Hostname: page-component-669899f699-cf6xr Total loading time: 0 Render date: 2025-04-28T10:41:58.431Z Has data issue: false hasContentIssue false
  • English
  • Français

Hierarchical Tilings

Published online by Cambridge University Press:  21 February 2011

Marjorie Senechal
Marjorie Senechal*
Affiliation:
Department of Mathematics, Smith College, Northampton, MA 01063
Get access

Abstract

Tiling problems arise in many areas of science, and they raise fascinating but difficult mathematical questions. Nonperiodic hierarchical tilings are particularly interesting and important. We discuss several examples of such tilings and indicate some of the unsolved problems related to them.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 255: Symposium Z – Hierarchically Structured Materials , 1991 , 313
Copyright
Copyright © Materials Research Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1. Gruinbaum, B. and Shephard, G.S., Tilings and Patterns (W. Freeman and Co., New York, 1987).Google Scholar
2. Berger, R., Memoirs of the American Mathematical Society No. 66 (AMS, Providence, 1966).Google Scholar
3. Fontaine, A., J. Comb. Theory, Series A, 57, 151, (1991).Google Scholar
4. Ammann, R., unpublished.Google Scholar
5. Thurston, W., Summer 1989 AMS Colloquium Lectures, unpublished notes.Google Scholar
6. Penrose, R., Bull. Inst. Math. Appl. 10, 266 (1974).Google Scholar
7. Penrose, R., in Introduction to the Mathematics of Quasicrystals, edited by Jarié, Marko (Academic Press, San Diego, CA, 1989), 53–80.Google Scholar
8. Lerner, E., IBM Research, Winter, 8 (1988).Google Scholar
9. Godrèche, C. and Lançon, F., preprint (1991).Google Scholar
10. deBruijn, N.G., preprint (1991).Google Scholar