A perfect icosahedral atomic structure: A two-unit-cell and four-zonohedra description
作者:
M. Audier,
P. Guyot,
期刊:
Philosophical Magazine Letters
(Taylor Available online 1988)
卷期:
Volume 58,
issue 1
页码: 17-23
ISSN:0950-0839
年代: 1988
DOI:10.1080/09500838808214725
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We establish in this Letter that the atomic structure of a perfect icosahedral quasicrystal can be achieved in a three-dimensional Penrose tiling of two rhombohedral unit cells, where the cluster atomic decoration defines uniquely two types of faces and their matching rule. The τ3self-similarity ratio defines the hierarchic generation of the tiling, the two types of faces and their matching rule being restored at each step. The structure may be simply understood in terms of four zonohedra: the oblate rhombohedron, a 20-branched stellate zonohedron, the rhombic triacontahedron and the rhombic icosahedron.
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