Quasicrystals -- The impact of N.G. de Bruijn

Abstract

In this paper we put the work of Professor N.G. de Bruijn on quasicrystals in historical context. After briefly discussing what went before, we shall review de Bruijn's work together with recent related theoretical and experimental developments. We conclude with a discussion of Yang-Baxter integrable models on Penrose tilings, for which essential use of de Bruijn's work has been made.

pdfLaTeX, 33 pages, 15 figures, submitted to Indagationes Mathematicae. Version 2: Two minor misprints corrected and duplicate reference deleted. Version 3: Reference added

References in corpus (3)

• The Ising Susceptibility Scaling Function
• Cluster Model of Decagonal Tilings
• Isomonodromic deformation theory and the next-to-diagonal correlations of the anisotropic square lattice Ising model