Fractal Tilings Based on Successive Adjacent Substitution Rule
Fractal Tilings Based on Successive Adjacent Substitution Rule
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基于连续相邻替换规则的分形平铺
DOI：
10.1155/2018/6451921
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发表时间：
2018
期刊：
影响因子：
2.3
通讯作者：
Yu Tao
中科院分区：
文献类型：
--
作者：
Ouyang Peichang;Tang Xiaosong;Chung Kwokwai;Yu Tao
分形瓦片orf-瓦片是一种具有自相似性、边界为分形的瓦片。f-瓦片结构复杂，视觉吸引力强。然而，到目前为止，发现的瓦片非常有限，因为建造这种瓦片需要特殊的才能。基于分层细分相邻图块的思想，本文提出了一种生成图块的通用方法。彭罗斯瓷砖被用作插画家来详细展示如何实现它。该方法可以扩展到处理可以通过替换规则构造的大量瓷砖（例如椅子和狮身人面像瓷砖和安曼瓷砖）。因此，所提出的方法可用于创建大量的非瓷砖。
A fractal tiling orf‐tiling is a tiling which possesses self‐similarity and the boundary of which is a fractal.f‐tilings have complicated structures and strong visual appeal. However, so far, the discoveredf‐tilings are very limited since constructing suchf‐tilings needs special talent. Based on the idea of hierarchically subdividing adjacent tiles, this paper presents a general method to generatef‐tilings. Penrose tilings are utilized as illustrators to show how to achieve it in detail. This method can be extended to treat a large number of tilings that can be constructed by substitution rule (such as chair and sphinx tilings and Amman tilings). Thus, the proposed method can be used to create a great many off‐tilings.