Aperiodic Order

by Baake, Michael

Type Book

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The second volume in a series exploring the mathematics of aperiodic order. Covers various aspects of crystallography.

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Title Statements

Full title :Aperiodic Order

Summary

The second volume in a series exploring the mathematics of aperiodic order. Covers various aspects of crystallography.

Edition Statements

Publication Date:2017.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2017.

The Physical Object

Description:1 online resource : : illustrations

Edition Identifiers

ISBN:1108514499, 9781108514491
oclc:on1021401611
LC Classification:QC173.4.Q36
Dewey Decimal:548.7

Cover -- Half-title -- Series information -- Title page -- Copyright information -- Table of contents -- List of contributors -- Foreword by Jeffrey C. Lagarias -- Preface -- CHAPTER 1 More Inflation Tilings -- 1.1. A simple inflation tiling without FLC -- 1.2. One-parameter families of inflation rules -- 1.3. A tiling with non-unique decomposition -- 1.4. [ddot(U)]berpinwheel -- 1.5. Tile orientations with distinct frequencies -- 1.6. Tilings inspired by girih tiles -- 1.7. Cyclotomic rhombus tilings -- 1.8. Infinitely many prototiles -- 1.9. Inflations with an empty supertile -- 1.10. Overlapping tiles -- 1.11. Tiles from automorphisms of the free group -- 1.12. Mixed inflations -- 1.13. Fusion tilings -- References -- CHAPTER 2 Discrete Tomography of Model Sets: Reconstruction and Uniqueness -- 2.1. Introduction -- 2.2. Basic notions of discrete tomography -- 2.3. Algorithmic issues in discrete tomography -- 2.4. Computational complexity of discrete tomography -- 2.5. Discrete tomography of model sets -- 2.6. Uniqueness in discrete tomography -- References -- CHAPTER 3 Geometric Enumeration Problems for Lattices and Embedded Z-Modules -- 3.1. Introduction -- 3.2. Preliminaries …