Introduction

Francesco D’Andrea ()
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Francesco D’Andrea: University of Naples Federico II, Department of Mathematics and Applications “Renato Caccioppoli”

Chapter Chapter 1 in A Guide to Penrose Tilings, 2023, pp 1-5 from Springer

Abstract: Abstract The problem of covering a flat surface — a subset of the Euclidean plane or the whole plane itself — using some fixed geometric shapes and with no overlaps is probably one of the oldest in mathematics. Such a covering is called a tiling, or a tessellation, or a mosaic. This chapter is a brief introduction to the problems and ideas that led to the discovery of Sir Roger Penrose’s famous non-periodic tilings of the plane.

Date: 2023
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DOI: 10.1007/978-3-031-28428-1_1

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