论文标题
通过修改Aperiodic替代瓷砖而产生的分形
Fractals Generated by Modifying Aperiodic Substitution Tilings
论文作者
论文摘要
这项研究提出了一种使用Aperiodic替代瓷砖产生无限数量的分形的方法，以Ammann椅子瓷砖为例。与Sierpinski地毯概念相关的高阶替代方案。计算由Ammann椅子铺设产生的分形的相似性维度，并显示为密集。使用Java编程语言实现了分形图像生成器，并可以在https://github.com/kahhenglee/ammann-chair-fractal.git上免费使用。
This study proposes a method for producing an infinite number of fractals using aperiodic substitution tilings, exemplified by the Ammann Chair tiling. Higher-order substitutions of aperiodic tilings are utilized in relation to the Sierpinski carpet concept. The similarity dimensions of the fractals generated by the Ammann Chair tiling are calculated and shown to be dense. A fractal image generator was implemented in the Java programming language and is freely available for public use at https://github.com/KahHengLee/Ammann-Chair-Fractal.git
