Average unit cell for the Generalized Penrose Tiling
نویسندگان
چکیده
منابع مشابه
Average unit cell for Penrose tiling and its Gaussian approximation.
In this paper, the average unit cell for a quasicrystal is constructed by a statistical approach. For the Penrose tiling, it is shown that such a unit cell is fully equivalent to the oblique projection of the atomic surface onto physical space. The obtained statistical distributions can be easily extended to imperfect structures by using a Gaussian approximation. This leads to simple analytical...
متن کاملDecagonal quasiferromagnetic microstructure on the penrose tiling.
The stable magnetization configurations of a ferromagnet on a quasiperiodic tiling have been derived theoretically. The magnetization configuration is investigated as a function of the ratio of the exchange to the dipolar energy. The exchange coupling is assumed to decrease exponentially with the distance between magnetic moments. It is demonstrated that for a weak exchange interaction the new ...
متن کاملA Modification of the Penrose Aperiodic Tiling
From black and white linoleum on the kitchen floor to magnificent Islamic mosaic to the intricate prints of M.C. Escher, tilings are an essential component of the decorative arts, and the complex mathematical structure behind them has intrigued scientists, mathematicians, and enthusiasts for centuries. Johannes Kepler, most famous for his laws of planetary motion, was known to have been interes...
متن کاملDi¤usive limits on the Penrose tiling
In this paper random walks on the Penrose tiling and on its local perturbation are investigated. Heat kernel estimates and the invariance principle are shown proving Domokos Szászs conjectures[11].
متن کاملPenrose tiling - Wikipedia, the free encyclopedia
A Penrose tiling is a nonperiodic tiling generated by an aperiodic set of prototiles named after Roger Penrose, who investigated these sets in the 1970s. Because all tilings obtained with the Penrose tiles are non-periodic, Penrose tilings are considered aperiodic tilings.[1] Among the infinitely many possible tilings there are two that possess both mirror symmetry and fivefold rotational symme...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Crystallographica Section A Foundations and Advances
سال: 2014
ISSN: 2053-2733
DOI: 10.1107/s2053273314099112