On the Fibonacci Tiling and its Modern Ramifications

Author:

Baake Michael1,Gähler Franz1,Mazáč Jan1

Affiliation:

1. Fakultat für Mathematik Universität Bielefeld Postfach 100131 33501 Bielefeld Germany

Abstract

AbstractIn the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticipated by the early papers and books. Here, we start from the well‐known Fibonacci chain to explain some of them, with pointers to various generalisations as well as to higher‐dimensional phenomena and results. This should give some entry points to the modern literature on the subject.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Wiley

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