Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
29 (1988), S. 516-524
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The hypercubic lattice Y is considered in Euclidean space E6. Embedding of the icosahedral group A(5) determines a well-known noncrystallographic action of A(5) on an irreducible subspace E3. From boundaries of Y and its metrical dual Y*, new convex polytopes, called Klötze, are constructed in E6. The Klötze tile E6 periodically, but not face-to-face, and provide a new fundamental domain under the hypercubic translation group. All boundaries of a Klotz are parallel or perpendicular to the subspace E3. The intersection of the lattice Y with E3 determine a nonperiodic, face-to-face rhombohedral tiling of E3. A quasicrystal model is introduced in E6 and E3. The model has stable density supported on the rhombohedral tiles. Its Fourier transform yields sharp diffraction maxima and reduces to integrals in E3 over the representative tiles and their boundaries.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.528043
|
Location |
Call Number |
Expected |
Availability |
