A:

• Axel, F., Denoyer, F., and Gazeau, J.-P. (Eds.)
  From Quasicrystals to More Complex Systems
  Springer, Berlin, and EDP Sciences, Les Ulis (2000)
  Proceedings of a summer school at Les Houches, France; a follow-up of the following entry.
• Axel, F., and Gratias, D. (Eds.)
  Beyond Quasicrystals
  Springer, Berlin, and EDP Sciences, Les Ulis (1995)
  Proceedings of a summer school at Les Houches, France, with review articles mainly on theoretical and mathematical issues. A good source also for open problems.

B:

• Baake, M. (Ed.)
  Selected Topics in the Theory of Quasicrystals
  International Journal of Modern Physics B 7 (1993), Nos. 6-7 (special issue)
  World Scientific, Singapore
  Collection of theoretical research articles dedicated to Peter Kramer on the occasion of his 60th birthday. Available through the editor.
• Baake, M., and Moody, R.V. (Eds.)
  Directions in Mathematical Quasicrystals
  CRM Monograph Series, Vol. 13
  American Mathematical Society, Providence, RI (2000)
  This book is meant as a continuation of the volumes by Moody and by Patera.
• Berger, R.
  The Undecidability of the Domino Problem
  Memoirs of the American Mathematical Society, Vol. 66
  American Mathematical Society, Providence, RI (1996)
  The origin of the connection between fundamental questions of logic and undecidability with the theory of tilings, see Grünbaum and Shephard for further hints.
• de Boissieu, M., Verger-Gaugry, J.-L., and Currat, R. (Eds.)
  Aperiodic '97
  World Scientific, Singapore (1998)
  Proceedings of the International Conference on Aperiodic Crystals, Alpe d'Huez, France.

C:

• Chapuis, G., and Paciorek, W. (Eds.)
  Aperiodic '94
  World Scientific, Singapore (1995)
  Proceedings of the International Conference on Aperiodic Crystals, Les Diablerets, Switzerland. This conference series has a mathematical section on quasicrystals and aperiodic order.

D:

• DiVincenzo, D.P., and Steinhardt, P.J. (Eds.)
  Quasicrystals: The State of the Art
  Directions in Condensed Matter Physics, Vol. 11
  World Scientific, Singapore (1991)
  Collection of original review articles; updated version with additional articles (1999).
• Doebner, H.-D., Scherer, W., and Schulte, C. (Eds.)
  GROUP 21 - Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, Vol. 2
  World Scientific, Singapore (1997)
  Proceedings of the XXI International Colloquium on Group Theoretical Methods in Physics, Goslar, Germany (1996). This volume contains a section on `Crystallography and Aperiodical Order' (pp. 937-1002).

E:

F:

G:

• Grünbaum, B., and Shephard, G.C.
  Tilings and Patterns
  W.H. Freeman, New York (1987)
  The tiling bible.

H:

• Hippert F., and Gratias, D. (Eds.)
  Lectures on Quasicrystals
  EDP Sciences, Les Ulis (1994)
  Proceedings of a winter school at Aussois, France (1994), with articles on experimental and theoretical aspects of quasicrystals.

I:

J:

• Janot, C.
  Quasicrystals: A Primer, 2nd Ed.
  Clarendon Press, Oxford (1994)
  The physical primer.
• Janot, C., and Mosseri, R. (Eds.)
  Quasicrystals
  World Scientific, Singapore (1995)
  Proceedings of the 5th International Conference on Quasicrystals, Avignon, France (1995).
• Jaric, M.V. (Ed.)
  Introduction to Quasicrystals
  Aperiodicity and Order, Vol. 1
  Academic Press, San Diego (1988)
  First volume of a book series with invited review articles on quasicrystals.
• Jaric, M.V. (Ed.)
  Introduction to the Mathematics of Quasicrystals
  Aperiodicity and Order, Vol. 2
  Academic Press, San Diego (1989)
• Jaric, M.V., and Gratias, D. (Eds.)
  Extended Icosahedral Structures
  Aperiodicity and Order, Vol. 3
  Academic Press, San Diego (1989)

K:

L:

• Loreto, L., and Ronchetti, M. (Eds.)
  Topics on Contemporary Crystallography and Quasicrystals
  Per. Mineral. LIX (1990), Nos. 1--3 (special issue)
  Contains an extensive bibliography on quasicrystals until 1991 (pp. 219-257).
• Luck, J.-M., Moussa P., and Waldschmidt W. (Eds.)
  Number Theory and Physics
  Springer Proceedings in Physics, Vol. 47
  Springer, Berlin (1990)
  Part II (pp. 77-137) deals with quasicrystals and related geometric structures.

M:

• Meyer, Y.
  Algebraic Numbers and Harmonic Analysis
  North Holland, Amsterdam (1972)
  Many results on the structure of quasiperiodic point sets are already contained in this book because they are special cases of Meyer's harmonious sets. A classic.
• Miekisz, J.
  Quasicrystals: Microscopic models of nonperiodic structures
  Leuven Notes in Mathematical and Theoretical Physics, Series A: Mathematical Physics, Vol. 5
  Leuven University Press, Leuven (1993)
  These lecture notes deal with the connection between quasicrystals, sphere packings and lattice gas models, with focus on non-periodic ground states and frustration.
• Moody, R.V. (Ed.)
  The Mathematics of Long-Range Aperiodic Order
  NATO ASI Series C 489
  Kluwer academic publishers, Dordrecht (1997)
  Proceedings of a NATO Advanced Study Institute at the Fields Institute, Waterloo, Canada (1995). The present mathematical state of the art, part I.

N:

O:

P:

• Patera, J. (Ed.)
  Quasicrystals and Discrete Geometry
  Fields Institute Monographs, Vol. 10
  American Mathematical Society, Providence, RI (1998)
  Invited research articles from a long-term research program at the Fields Institute, Toronto, Canada (1995). The present mathematical state of the art, part II.

Q:

R:

• Radin, C.
  Miles of Tiles
  Student Mathematical Library, Vol. 1
  American Mathematical Society, Providence, RI (1999)
  Introductory text with special emphasis on tilings that are of finite type with respect to Euclidean motions, but not with respect to translations.

S:

• Senechal, M.
  Quasicrystals and Geometry
  Cambridge University Press, Cambridge (1995); corrected reprint (1996)
  The geometric primer.
• Steinhardt, P.J., and Ostlund, S. (Eds.)
  The Physics of Quasicrystals
  World Scientific, Singapore (1987)
  Reprint volume which contains many of the early articles until 1987, and also a bibliography.
• Suck, J.-B., Schreiber, M., and Häussler, P. (Eds.)
  Quasicrystals -- An introduction to structure, physical properties and applications of quasicrystalline alloys
  Springer, Berlin (2002)
  Lecture notes of a WE-Heraeus summer school in Chemnitz, Germany (1997). Contains further bibliographic notes.

T:

• Takeuchi, S., and Fujiwara, T. (Eds.)
  Quasicrystals
  World Scientific, Singapore (1998)
  Proceedings of the 6th International Conference on Quasicrystals, Tokyo, 1997.

U:

V:

W:

X:

Y:

• Yacamán, M.J., and Torres, M. (Eds.)
  Crystal-Quasicrystal Transitions
  North Holland, Amsterdam (1993)
  Collection of invited research and review articles, in particular on the theory of periodic approximants.

Z:

Quasicrystal bibliography compiled at Ames Lab