Penrose tilings as coverings of congruent decagons
Penrose tilings as coverings of congruent decagons
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DOI：
10.1007/bf00239998
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发表时间：
1996-08-01
影响因子：
0.5
通讯作者：
Gummelt, P
中科院分区：
文献类型：
--
作者：
Gummelt, P
平铺理论中是否存在一个具有相应匹配规则的单一非周期二维原块的开放性问题，用覆盖代替平铺来回答。我们引入正则十角形的可容许重叠，只确定欧几里得平面的非周期覆盖，这些覆盖等价于罗宾逊三角形的平铺。我们的工作是由准晶体的结构特性驱动的。
The open problem of tiling theory whether there is a single aperiodic two-dimensional prototile with corresponding matching rules, is answered for coverings instead of tilings. We introduce admissible overlaps for the regular decagon determining only nonperiodic coverings of the Euclidean plane which are equivalent to tilings by Robinson triangles. Our work is motivated by structural properties of quasicrystals.