Geometric models for continuous transitions from quasicrystals to crystals
作者:
M. Torres,
G. Pastor,
I. Jiménez,
J. Fayos,
期刊:
Philosophical Magazine Letters
(Taylor Available online 1989)
卷期:
Volume 59,
issue 4
页码: 181-188
ISSN:0950-0839
年代: 1989
DOI:10.1080/09500838908206341
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Starting from variablep-vectors half-stars which verify Hadwiger's theorem, the cut-projection method is used here. The strip of projection is projected on a rotatory subspace and a variable tiling is obtained. Two outstanding examples are developed. The first, a continuous evolution from a two-dimensional octagonal quasilattice to two square lattices 45° rotated in between. The second is a continuous evolution from a three-dimensional Penrose tiling to an f.c.c. vertex lattice. Physical applications to quasicrystal-crystal transitions are pointed out.
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