smallest Kungs cluster containing all six different decagons 包含所有六個不同十邊形的最小簇, smallest one, two melecules on each side containing only 15 nolecules
這不是必要的五重對稱結構 It's not necessary for five-fold symmetry, but may not be extended to infinite,
潘路斯密舖是非週期密鋪的例子，密鋪指以不重疊的多邊形或其它形狀覆蓋平面，非週期意味將有這些形狀的任何密鋪移動任何有限距離而不旋轉，不會產生相同的密鋪。然而，儘管不是平移對稱，潘路斯密鋪可能同時是反射對稱和五重旋轉對稱。潘路斯密鋪以1970年代研究潘路斯密鋪的數學家和物理學家潘路斯命名。
激發您的想像力，所有這些各種圓形和五邊形的基本彭羅斯拼塊都可以以不同方式拉伸，尤其是通過耦合到無窮大。Boost your imagination, all these various circular and pentagonal elementary Penrose tiles can stretch differently, especially by coupling going to infinity.
Penrose tiles contain only #1 #2 abd #4 decagons,
台灣應在2024年為諾貝爾獲獎者彭羅斯舉行慶祝活動，以彰他在彭羅斯瓷磚上的發現
第一次把六個不同內部結構的十邊形放在一起，可以有不同的方案
沒有五重對稱的彭羅斯平鋪 , Smallest Penrose tiling with circular shapes, containing all six different decagons but not five-fold symmetric.最小的圓形彭羅斯拼貼，包含所有六個不同的十邊形，但不是五重對稱
First time to put six Decagons with different inner structure, closely packed together and could have different configurations (scheme)
不能無缺陷地自耦合擴展 Cannot self-couple extensions without defect
or mutual coupled with other types without generating defects, 或與其他類型相互耦合或與其他類型相互耦合而不會產生缺陷，
This above one exists defects on the center area, The light blue , the Pink one both may not be survived after further extension, the adjustment on the coupling seam area (defects) will make light blue and pink area disappear 希望通過拼接和接縫區域的調整，我們可以實現所有六個十邊形的無缺陷 Hopefully by patching and seam area adjustment, we may accomplish the defect free with all six decagon duagram ...
pink cross marks the areas that will not able to be extended while keeping origin structure (without wiping out the structure of nearby decagon)
Smaller size clusters Sa Sb Sd for pentagon shape Penrose tiling , each side contains four decagpns. five vertex are type-a debagon, Sa1 is circo;ar shape
Smaller size clusters for pentagon shape Penrose tiling ,only two types of decagon involved. each side contains four decagpns. five vertex are type-b debagon, five vertex may be replaced by type-a decagon
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