论文标题
Tegula-探索二维周期性瓷砖的银河系
Tegula -- exploring a galaxy of two-dimensional periodic tilings
论文作者
论文摘要
周期性的瓷砖在装饰艺术，建筑和晶体结构中起作用。组合式平铺理论可以使用高级算法和软件进行系统的生成，可视化和探索飞机，球体和双曲机平面的这种瓷砖。在这里，我们提出了一个“银河系”的“星系”，这些斜针由240亿个不同类型的周期性较复杂的搜索和可用的tem ulage teg a -new tegula组成。我们将这些固定性与新的能力相加。瓷砖。 可用性：所有瓷砖和软件，都是开源的，可在此处提供：https：//ab.inf.uni-tuebingen.de/software/tegula。
Periodic tilings play a role in the decorative arts, in construction and in crystal structures. Combinatorial tiling theory allows the systematic generation, visualization and exploration of such tilings of the plane, sphere and hyperbolic plane, using advanced algorithms and software.Here we present a "galaxy" of tilings that consists of the set of all 2.4 billion different types of periodic tilings that have Dress complexity up to 24. We make these available in a database and provide a new program called Tegula that can be used to search and visualize such tilings. Availability: All tilings and software and are open source and available here: https://ab.inf.uni-tuebingen.de/software/tegula.
