منابع مشابه
Quasicrystalline Combinatorics
Several combinatorial problems of (quasi)crystallography are reviewed with special emphasis on a unified approach, valid for both crystals and quasicrystals. In particular, we consider planar sublattices, similarity sublattices, coincidence sublattices and their module counterparts. The corresponding counting functions are encapsulated in Dirichlet series generating functions, with worked out r...
متن کاملAtlas of Quasicrystalline Tilings
Tilings are created from root lattices using canonical projection. Like diffraction images, these tilings make the quasicrystaline or crystalline nature of many of these structures clear. These tilings may also be viewed as shadows of lattice sphere packings in n-dimensions. The atlas gives many new intriguing quasicrystalline tilings in a systematic way. AMS classification scheme numbers: 52C2...
متن کاملStable Quasicrystalline Ground States
We give a strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions but rather are generic in some regions of a phase space. We show this by constructing classical lattice gas models with translationinvariant, finite-range interactions and with a unique quasiperiodic ground state which is stable against small perturbations of two-body potent...
متن کاملFlux Compactification
We review recent work in which compactifications of string and M theory are constructed in which all scalar fields (moduli) are massive, and supersymmetry is broken with a small positive cosmological constant, features needed to reproduce real world physics. We explain how this work implies that there is a “landscape” of string/M theory vacua, perhaps containing many candidates for describing r...
متن کاملChaotic attractors exhibiting quasicrystalline structure
An extension of canonical projection allowing the projection of objects from higher dimensional space onto quasicrystalline structures is developed. In particular, we create symmetric chaotic attractors in 5-dimensionsal space and then project them to the plane such that the resulting image exhibits the structure of a quasicrystalline tiling. These images give a new visual expression of the hig...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1988
ISSN: 0550-3213
DOI: 10.1016/0550-3213(88)90627-x