E xtended Panrose tiling (second zone ) may be counted as second type penrose tiling
Two rhombus with angles of 36 degrees and 72 degrees can form 6 different basic decagons configurations, as shown in Figure 1. 1974, Penrose first delineated a standard five-fold tiling consisting of three different basic decagons. Penrose tiling under the really strict definition requires that all diamond-shaped bricks must be included in any one of the six regular decagons.
好不容易挖到大師1986年的潘洛斯圖，沒有仔細的看懂。
讓我嘔心瀝血的圖案; 可以算第二類彭羅斯密鋪 , 在那逸情逍遙的雲端， 或許會有那一個偶然，
流蕩到彭羅斯的心上(眼梢), 願大師諾貝爾的光環, 遙遠的寄來(賞我)一個讚嘆!.
他會看到一個馬上看得懂的Zero 缺陷 的彭羅斯密鋪 second zone and third zone圖案, 或許,可以算第二類彭羅斯密鋪。
不敢說他們錯了，至少我的圖跟他們不一樣，我的作圖比較合於五重對稱性的原則
fig 1
fig 4 May be a second type Penrose tiling , defects free, contains five Penrose tiling on edge, center part is not penrose tiling
fig 3 Penrose tiling with so called dislocation(defects) in the center region, green tiles are not in the basic decagon configuration
fig 4 Penrose tiling with defects (marked as red tikes) in the center region
Fig 5 Pentose tiling with defects, the tiles is not in the basic configuration
If it is not strictly defined, the resulting diagram looks similar in appearance, but there are a lot of so defined defects that is not in the defined basic configuration.
- Kramer, Z. Naturforsch. Teil A 40A, 775 (1985). ”K. B. Stolarsky, Can. Math. Bull. 19, 473 (1976). 28D. Levine, T. C. Lubensky, S. Ostlund, S. Ramaswamy
2 . Paul Steinhardt 2019 Science , Stellan Ostlund The Physics Of Quasicrystals,
books.
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