Lequan Minand Xaodan Zhang, Nonclassical Plane-crystallographic Groups and Their Applications IV, J. Univ. Sci. Technol. Beijing, 5(1998), No. 4, pp. 228-232.
Cite this article as:
Lequan Minand Xaodan Zhang, Nonclassical Plane-crystallographic Groups and Their Applications IV, J. Univ. Sci. Technol. Beijing, 5(1998), No. 4, pp. 228-232.
Lequan Minand Xaodan Zhang, Nonclassical Plane-crystallographic Groups and Their Applications IV, J. Univ. Sci. Technol. Beijing, 5(1998), No. 4, pp. 228-232.
Citation:
Lequan Minand Xaodan Zhang, Nonclassical Plane-crystallographic Groups and Their Applications IV, J. Univ. Sci. Technol. Beijing, 5(1998), No. 4, pp. 228-232.
Applied Science School, School, University of Science and Technology Beijing, Beijing 100083, China
中文摘要
Eight kinds of nonclasslcal periodic lattices with locally 8-fold rotational symmetries are introduced.They can be described via nonclassical Planc-crystallographic groups. The periodic lattices may be interpreted by the projections on the plane of the corresponding unit cells consisting of embedding polyhedrons, respectively. The Fourier-transform patterns of the Periodic lattices have striking approximate "8-fold rotational symmetries", some of which are similar to those displaying in the electrton-diffraction patterns of so-called quasicrystals.
Eight kinds of nonclasslcal periodic lattices with locally 8-fold rotational symmetries are introduced.They can be described via nonclassical Planc-crystallographic groups. The periodic lattices may be interpreted by the projections on the plane of the corresponding unit cells consisting of embedding polyhedrons, respectively. The Fourier-transform patterns of the Periodic lattices have striking approximate "8-fold rotational symmetries", some of which are similar to those displaying in the electrton-diffraction patterns of so-called quasicrystals.
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