Journal ArticleDOI
Scale invariance and the group structure of quasicrystals.
Stellan Östlund,David C. Wright +1 more
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This article is published in Physical Review Letters.The article was published on 1986-05-12. It has received 9 citations till now. The article focuses on the topics: Symmetry (geometry) & Quasicrystal.read more
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Aperiodic crystals: A contradictio in terminis?
TL;DR: The notion of quasiperiodicity was introduced in this paper, which is a necessary condition for having a crystalline phase is lattice periodicity, but it has become clear in the last decades that there are physical systems with many properties of the usual crystalline state but without three-dimensional lattice periodsicity.
Journal ArticleDOI
Introduction to a general crystallography
TL;DR: The definition of an extended crystallographic group is given, based on an n-dimensional Euclidean space, carrier of a faithful integral representation of a permutation group of atomic positions that possibly allows non-trivial structural relations between atomic positions belonging to the asymmetric unit of the molecular point group to be obtained.
Journal ArticleDOI
A two dimensional aperiodic dense tiling
TL;DR: Using the modified Voronoi construction of Olamy and Alexander for the acceptance domain in perpendicular space of an aperiodic crystal, it is possible to build in a systematic way a dense aperiodical tiling, i.e. made of circles (in d = 2) or of spheres (in D = 3) which are in contract.
Journal ArticleDOI
Special lines of quasilattices. I. The case of irreducible quasilattices in two and three dimensions
TL;DR: In this paper, a general theory for special lines in quasilattices is developed, and the author classifies completely the special lines of the three Bravais classes of icosahedral quasILattices in three dimensions and another three of n-gonal quasils in two dimensions, where n=8, 10 and 12.
Related Papers (5)
Influence of symmetry on the static and dynamic properties of crystals. Calculation of the sets of the sets of the cartesian irreducible tensors for the crystallographic point groups
J. Brandmüller,F. X. Winter +1 more