A guide to Penrose tilings

The aim of this book is to provide an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the `70s. The book covers many aspects of Penrose tilings, including the study of the space parameterizing Penrose tilings from the point of view of Connes' Noncommutative Geometry.Comment: This is a preview of the following work: Francesco D'Andrea, "A Guide to Penrose Tilings", 2023, Springer, ISBN: 978-3-031-28427-4. It is reproduced with permission of Springe