貢中元的部落格

if the quasi becomes pseudo, real will become the truth , We have two different atomic sites models for Quasi crystals

如果,準變成偽，實則成幻,影卻成真

貢中元準晶表面觀測

從彭羅斯圖案演變為二維準晶體圖案, ,現在不再是晶體的正常重複“晶胞”?

大綱

Unlimited number of periodic decagonal tiling  with a2-D atom sites quasi crystal model貢中元chung yuan kung

Unlimited number of periodic decagonal tiling (2D-crystal)

The fat and thin rhombus tiles with different acute angles of 36 and 72 degrees  can combine to form six different decagonal tiles, of different inner structures, Each decagons composed of ten rhombuses , five thin rhombus and five fat rhombus , where a, b, c, d, e, f, are marked for six different decagons respectively in Figure 1.  For the fat rhombus in the decagons of type-a, type-d, type-e and type-f are highlighted in red, purple red, yellow, and light blue, respectively. These six decagons which can be regarded (considered) as basic unit, instead of two types of rhombuses, to fabricate (infinity) tiles in this paper. And be noted that only type-a decagonal tile is five-fold symmetric and the rest decagons are only mirror symmetric.

different unit cells in one periodic decagonal crystals 

所有十邊形彭羅斯瓷磚 

Celebrating the 50th anniversary of the discovery of Penrose tiling

The five-fold symmetrical tile that can be self-coupled to build up a five-fold tiling,periodic and four-way symmetry tiles (crystals) to infinity

Some smaller unit cells that form different decagonal two-dimensional crystals

Four unit cells that intercepted from a translational decagonal style crystal and form four different crystals.