貢中元的部落格

asymmetry  Penrose binary  tiling  不對稱彭羅斯平鋪 

1 one may start from any conventionally defined five-fold symmtry (around a specific center, center of blue star,)or on-five fold symmerric  penrose tile , either pentagonal or circular shape.as shown in fig 1

2 random Stochastic asymmetry paralleling translational (or slant shift) coupling (as shown ih fig 2)

3 Make a slice fragment that will be used to make the next 1/5 Penrose tile (SEE REF 1 )

4 Rotation of this sement 72 ,144, 216 ,288 degrees and slicing coupling formng a larger penrose tiling, defect free , but not a mirror symmetry.

5. REPLANCE CENTER AREA BY FIG 3

5. Repeated the same procedure and abke to create an even larger Penrose tiling.

6. wITH SIMILAE TECHNIQUE a non-five-fold, non mirror symmetry binary Penrose tiling can be made (reach to infinity) fig 5

1 從任意五重（圍繞藍星中心）彭羅斯平鋪開始.     2隨機 隨機不對稱並聯（平移或斜移）耦合,, 3製作一個切片片段，用於製作下一個 1/5 彭羅斯瓷磚

4 此部分旋轉 72 ,144 , 216 ,288 度和切片耦合形成更大的彭羅斯平鋪，無缺陷，但不是鏡面對稱,,5. 重複相同的過程，能夠創造更大的彭羅斯瓷磚。