论文标题
纯局部生长的准晶体
Purely local growth of a quasicrystal
论文作者
论文摘要
自组装是系统的组件，无论是分子，聚合物还是宏观颗粒，无论是由于组件本身之间的局部相互作用而没有外部指导，都会组织成有序结构的过程。在本文中，我们谈到了Aperiodic Tilings的自组装。多个块状的斜利是准晶体的数学模型 - 没有任何翻译对称性的晶体。由于这些晶体的特定原子布置，它们如何生长的问题仍然保持开放。在本文中，我们陈述了有关黄金 - 八角形瓷砖的纯局部和确定性生长的定理。与普遍的看法相反，与普遍的看法相反，就有可能的局部增长是可能的。
Self-assembly is the process in which the components of a system, whether molecules, polymers, or macroscopic particles, are organized into ordered structures as a result of local interactions between the components themselves, without exterior guidance. In this paper, we speak about the self-assembly of aperiodic tilings. Aperiodic tilings serve as a mathematical model for quasicrystals - crystals that do not have any translational symmetry. Because of the specific atomic arrangement of these crystals, the question of how they grow remains open. In this paper, we state the theorem regarding purely local and deterministic growth of Golden-Octagonal tilings. Showing, contrary to the popular belief, that local growth of aperiodic tilings is possible.
