貢中元的部落格

All  aperoidic and periodicPenrose (Kung)  tiling  (# one set全集之2)

All  Penrose kung tiling 

石 ​​我從頭從原子,分子的觀念來闡述胖瘦二種菱形形成六種正十角形(類分子)、然後再用六種正十角形,以高分子簇(Clusters)的概念規範了幾類五邊形(像Penrose tiles)的簇類,同時也定義了在簇裡面缺陷的含義,,,再利用群簇耦合的概念,耦合的簇邊界的分子轉換製繪無限大的 defect free Penrose鋪磚圖,,,,,這種邊界化學概念的反應有助於了解五重性合金quasicrystal準晶体的曉解.

 When I attend my 50 year anniversary, I asked physics dept to give a speech abot Penrose tiling. Because during Covid 19 mperiod, a  I afraid use public transpotation may have chance to be get influence infection and affect to my 99 year old mother. at that day  I drove my car by myself with a poor  eye seeing. 

Pseudo chemistry with decagonal tiling and six decagons coexisted without any defect

ABSTRACT

Dear Editor:  I wish to submit a research article (Short Communication) for publication in Nature, titled: “The formation of the four-way symmetric translational tiles (crystal) and corresponding unit cells.” 

I believe that the study will significantly contribute to the body of literature as it tends to demonstrate how to construct a four-way symmetric Penrose tile. The results show that four-way symmetric Penrose tiling can be created by adding one more mirror coupling in the y-direction.

or

I wish to submit a research article for publication in Communications Physics, titled: “Conjugated coupling for two Penrose tiles pair and their elementary unit cell for translation tiles.” 

Chief Edito, titled: “The definition of unlimited, pentagonal shape Penrose tile that is defect-free.” 

I believe that the article will significantly contribute to the body of literature as it tends to modify the original Penrose tile into a pentagon. It was found that the original penrose tile is composed of three types of decagons: type-a, type-b and type-c, and that Pentagonal penrose tiles may not always be five –fold or mirror symmetry since they consist of any combination of six types of decagons.