In this up-to-date review and guide to most recent literature, the expert authors develop concepts related to quasiperiodic coverings and describe results. The text describes specific systems in 2 and 3 dimensions with many illustrations, and analyzes the atomic positions in quasicrystals.
Coverings of Discrete Quasiperiodic Sets
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From the Back Cover
Coverings are efficient ways to exhaust Euclidean N-space with congruent geometric objects. Discrete quasiperiodic systems are exemplified by the atomic structure of quasicrystals. The subject of coverings of discrete quasiperiodic sets emerged in 1995. The theory of these coverings provides a new and fascinating perspective of order down to the atomic level. The authors develop concepts related to quasiperiodic coverings and describe results. Specific systems in 2 and 3 dimensions are described with many illustrations. The atomic positions in quasicrystals are analyzed.
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Inside This Book
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First Sentence:
The packing of congruent, convex, impenetrable bodies in 3-space has obvious practical applications. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
densest lines, acute rhombus, coding tiles, projected lattice points, algebraic conjugation, thick rhombus, five sublattices, phason flips, canonical tilings, phason fluctuations, icosahedral tiling, rhombus tiles, triangle tiling, superlattice order, covering clusters, octagonal tiling, smallest discriminants, quasiperiodic tilings, phason disorder, quasiperiodic systems, alternation condition, atomic decoration, dual tilings, phason strain, tiling theory Key Phrases - Capitalized Phrases (CAPs): (learn more)
World Scientific, International Conference, New York, Monte Carlo, Elsevier Science, Ammann Beenker, Materials Research Society, Acta Cryst, Acta Math, Covering of Discrete Quasiperiodic Sets, Academic Press, Generation of Quasiperiodic Order, The State of the Art, Thermally-Induced Tile Rearrangements New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The packing of congruent, convex, impenetrable bodies in 3-space has obvious practical applications. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
densest lines, acute rhombus, coding tiles, projected lattice points, algebraic conjugation, thick rhombus, five sublattices, phason flips, canonical tilings, phason fluctuations, icosahedral tiling, rhombus tiles, triangle tiling, superlattice order, covering clusters, octagonal tiling, smallest discriminants, quasiperiodic tilings, phason disorder, quasiperiodic systems, alternation condition, atomic decoration, dual tilings, phason strain, tiling theory Key Phrases - Capitalized Phrases (CAPs): (learn more)
World Scientific, International Conference, New York, Monte Carlo, Elsevier Science, Ammann Beenker, Materials Research Society, Acta Cryst, Acta Math, Covering of Discrete Quasiperiodic Sets, Academic Press, Generation of Quasiperiodic Order, The State of the Art, Thermally-Induced Tile Rearrangements New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 24
books:
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30
books
cite this book:
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- Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften) (v. 290) by John Horton Conway on page 18, page 163, and page 225
- Quasicrystals: The State of the Art by Paul J. Steinhardt on page 94, and page 254
- Ion-Induced Electron Emission from Crystalline Solids (Springer Tracts in Modern Physics) by Hiroshi Kudo in Back Matter
- Quantum Information by Gernot Alber in Back Matter
- Tilings and Patterns by Branko Grunbaum on page 60
See all 24 books this book cites
- Compton Scattering: Investigating the Structure of the Nucleon with Real Photons (Springer Tracts in Modern Physics) by Frank Wissmann in Back Matter (1), Back Matter (2), and Back Matter (3)
- Cosmology (Springer Tracts in Modern Physics) by Dierck-Ekkehard Liebscher in Back Matter
- Stopping of Heavy Ions: A Theoretical Approach (Springer Tracts in Modern Physics) (v. 204) by Peter Sigmund in Back Matter
- Neutrino Mass (Springer Tracts in Modern Physics) by Guido Altarelli in Back Matter
- Uncovering CP Violation: Experimental Clarification in the Neutral K Meson and B Meson Systems (Springer Tracts in Modern Physics) by Konrad Kleinknecht in Back Matter
See all 30 books citing this book
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