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

TL;DR

This paper reviews N.G. de Bruijn's foundational work on quasicrystals, placing it in historical context and discussing its influence on recent theoretical and experimental developments, including integrable models on Penrose tilings.

Contribution

It provides a comprehensive historical and scientific analysis of de Bruijn's contributions and their impact on current research in quasicrystals and related models.

Findings

De Bruijn's work is central to understanding quasicrystal structure.

Recent developments build upon de Bruijn's tiling methods.

Applications include Yang-Baxter integrable models on Penrose tilings.

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.