A Guide To Penrose Tilings

Author : Francesco D'Andrea
Publisher : Springer Nature
ISBN 13 : 3031284283
Total Pages : 203 pages
Book Rating : 4.81/5 ( download)

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Download or read book A Guide to Penrose Tilings written by Francesco D'Andrea and published by Springer Nature. This book was released on 2023-08-19 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s. Quasi-periodic tilings of the plane, of which Penrose tilings are the most famous example, started as recreational mathematics and soon attracted the interest of scientists for their possible application in the description of quasi-crystals. The purpose of this survey, illustrated with more than 200 figures, is to introduce the curious reader to this beautiful topic and be a reference for some proofs that are not easy to find in the literature. The volume covers many aspects of Penrose tilings, including the study, from the point of view of Connes' Noncommutative Geometry, of the space parameterizing these tilings.

Author : Michael Baake
Publisher : Cambridge University Press
ISBN 13 : 1316184382
Total Pages : 548 pages
Book Rating : 4.87/5 ( download)

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Download or read book Aperiodic Order: Volume 1, A Mathematical Invitation written by Michael Baake and published by Cambridge University Press. This book was released on 2013-08-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.

Author : Roger Penrose
Publisher :
ISBN 13 : 9781907155130
Total Pages : 48 pages
Book Rating : 4.39/5 ( download)

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Download or read book Altair Design written by Roger Penrose and published by . This book was released on 2013-10-01 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : COMAP
Publisher : Macmillan
ISBN 13 : 9780716769460
Total Pages : 556 pages
Book Rating : 4.68/5 ( download)

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Download or read book For All Practical Purposes Student's Study Guide written by COMAP and published by Macmillan. This book was released on 2006-01-13 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers study tips and tools to help students gain a better understanding of course material. New edition will also include study flashcards for further practice.

Author : P J Steinhardt
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103841
Total Pages : 788 pages
Book Rating : 4.49/5 ( download)

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Download or read book The Physics of Quasicrystals written by P J Steinhardt and published by World Scientific Publishing Company. This book was released on 1987-12-31 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises an introductory lecture outlining the basic concepts and challenges in the field. This is followed by a collection of reprinted articles which are important in understanding the subject. The book will focus mainly on mathematical and physical foundations of the subject rather than experimental progress. By concentrating on theoretical topics, this volume has long-lasting as well as immediate value to physicists, crystallographers, metallurgists and mathematicians. Request Inspection Copy

Author : COMAP
Publisher : Macmillan
ISBN 13 : 9780716798613
Total Pages : 244 pages
Book Rating : 4.11/5 ( download)

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Download or read book For All Practical Purposes Study Guide written by COMAP and published by Macmillan. This book was released on 2002-12-30 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematicians and educators who comprise COMAP created for All Practical Purposes in response to the following question: If there were a course designed to help impart mathematical literacy to today's students what should it include? Like previous revisions, the new edition of FAPP carefully re-examines this question to better reflect our changing world. In keeping with the FAP tradition, the text continues to focus on mathematics relevant to consumers, business, history, and social sciences, incorporating a number of content and pedagogical changes, and adding new interactive features on the Web. The result is the ideal liberal arts mathematics text for students who think that mathematics is irrelevant and dull, and for instructors who want their class time to focus on active participation and a real-world approach to problem-solving.

Author : COMAP
Publisher : Macmillan
ISBN 13 : 9781429226509
Total Pages : 556 pages
Book Rating : 4.01/5 ( download)

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Download or read book Study Guide for For All Practical Purposes written by COMAP and published by Macmillan. This book was released on 2008-12-30 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers study tips and tools to help students gain a better understanding of course material. The Eighth Edition includes study flashcards for further practice.

Author : Marko Jaric
Publisher : Elsevier
ISBN 13 : 0323140645
Total Pages : 296 pages
Book Rating : 4.45/5 ( download)

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Download or read book Introduction to Quasicrystals written by Marko Jaric and published by Elsevier. This book was released on 2012-12-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aperiodicity and Order, Volume 1: Introduction to Quasicrystals deals with various aperiodic types of order in quasicrystals as well as the basic physics of quasicrystalline order and materials. Questions about the nature of order and the order of nature are addressed. This volume is comprised of six chapters; the first of which introduces the reader to icosahedral coordination in metallic crystals, with emphasis on the structural principles of metallic materials that are crystalline and may be expected to carry over to aperiodic materials. The discussion then turns to short- and long-range icosahedral orders in glass, crystals, and quasicrystals. The origins of icosahedral order are explained, and the physical properties of icosahedral materials are described. The chapters that follow focus on the metallurgy of quasicrystals, the crystallography of ideal icosahedral crystals, and stability and deformations in quasicrystalline solids. The book concludes with a discussion on symmetry, elasticity, and hydrodynamics in quasiperiodic structures. A pedagogical review of continuum elastic-hydrodynamic theory for quasicrystals and related structures is presented. This book is intended primarily as an introduction for new students in the field and as a reference for active researchers.

Author : Branko Grünbaum
Publisher : W H Freeman & Company
ISBN 13 : 9780716719984
Total Pages : 446 pages
Book Rating : 4.83/5 ( download)

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Download or read book Tilings and Patterns written by Branko Grünbaum and published by W H Freeman & Company. This book was released on 1989 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tilings and Patterns: An Introduction presents in convenient paperback form the first half of Tilings and Patterns. Omitting the more specialized material of the earlier volume, this abbreviated edition make's the authors' contributions to tiling theory and its practical applications accessible to a wide audience.

Author : Enrique Maciá-Barber
Publisher : CRC Press
ISBN 13 : 1351209132
Total Pages : 284 pages
Book Rating : 4.37/5 ( download)

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Download or read book Quasicrystals written by Enrique Maciá-Barber and published by CRC Press. This book was released on 2020-12-18 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: promoting the very notion of quasiperiodic order, and to spur its physical implications and technological capabilities. It, therefore, explores the fundamental aspects of intermetallic, photonic, and phononic quasicrystals, as well as soft-matter quasicrystals, including their intrinsic physical and structural properties. In addition, it thoroughly discusses experimental data and related theoretical approaches to explain them, extending the standard treatment given in most current solid state physics literature. It also explores exciting applications in new technological devices of quasiperiodically ordered systems, including multilayered quasiperiodic systems, along with 2D and 3D designs, whilst outlining new frontiers in quasicrystals research. This book can be used as a reader-friendly introductory text for graduate students, in addition to senior scientists and researchers coming from the fields of physics, chemistry, materials science, and engineering. Key features: • Provides an updated and detailed introduction to the interdisciplinary field of quasicrystals in a tutorial style, considering both fundamental aspects and additional freedom degrees provided by designs based on quasiperiodically ordered materials. • Includes 50 fully worked out exercises with detailed solutions, motivating, and illustrating the different concepts and notions to provide readers with further learning opportunities. • Presents a complete compendium of the current state of the art knowledge of quasicrystalline matter, and outlines future next generation materials based on quasiperiodically ordered designs for their potential use in useful technological devices. Dr. Enrique Maciá-Barber is Professor of condensed matter physics at the Universidad Complutense de Madrid. His research interests include the thermoelectric properties of quasicrystals and DNA biophysics. In 2010 he received the RSEF- BBVA Foundation Excellence Physics Teaching Award. His book Aperiodic Structures in Condensed Matter: Fundamentals and Applications (CRC Press, Boca-Raton, 2009) is one of the Top Selling Physics Books according to YBP Library Services.