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Geometrical Frustration
Quasiperiodic tilings: cut and projection
monograph
Publication date:
August 12 1999
Publisher:
Cambridge University Press
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De Gruyter Materials: Nanotechnology
Author and book information
Book Chapter
Publication date:
August 12 1999
Pages
: 263-272
DOI:
10.1017/CBO9780511599934.016
SO-VID:
3dbc487c-8624-41ca-8ded-70d6d7d1e082
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Book chapters
pp. xi
Preface
pp. 1
Introduction to geometrical frustration
pp. 14
Ideal models
pp. 45
Finite structures
pp. 57
Decurving and disclinations
pp. 100
Hierarchical polytopes
pp. 128
Some physical properties
pp. 158
Periodic structures with large cells
pp. 196
Quasiperiodic order and frustration
pp. 214
Spaces with constant curvature
pp. 224
Quaternions and related groups
pp. 230
Hopf fibration
pp. 237
Polytopes and honeycombs
pp. 248
Polytope {3, 3, 5}
pp. 255
Frank and Kasper coordination polyhedra
pp. 263
Quasiperiodic tilings: cut and projection
pp. 273
Differential geometry and parallel transport
pp. 286
Icosahedral quasicrystals and the E8 lattice
pp. 298
Bibliography
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