Construction Rules of P3 Penrose Tiling and Its MATLAB Implementation
نویسندگان
چکیده
Penrose tiling is an example of the two-dimensional quasicrystal tessellation model, which British mathematician Roger first proposed in 1974. In this paper, we investigate construction rules P3 theoretical model. We successfully generate seven generations complete using self-similar transformation method.
منابع مشابه
construction and validation of translation metacognitive strategy questionnaire and its application to translation quality
like any other learning activity, translation is a problem solving activity which involves executing parallel cognitive processes. the ability to think about these higher processes, plan, organize, monitor and evaluate the most influential executive cognitive processes is what flavell (1975) called “metacognition” which encompasses raising awareness of mental processes as well as using effectiv...
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 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 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 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: Academic journal of engineering and technology science
سال: 2023
ISSN: ['2616-5767']
DOI: https://doi.org/10.25236/ajets.2023.060706