2D Archimedean tiling and complex tessellation patterns assembled from soft materials including modular DNA tiles have attracted great interest because of their specific structures and potential applications in nanofabrication, nanoelectronics, nanophotonics, biomedical sensing, drug delivery, therapeutics, etc. Traditional three- and four-point-star DNA tiles with the core arm length at two half-turns (specified as three- and four-point-star-E previously and abbreviated as 3PSE and 4PSE tiles here) have been applied to assemble intricate tessellations through tuning the size of inserted nT (n = 1–7, T is thymine) loops on helper strands at the tile center. Following our recent findings using a new type of four-point-star tiles with the core arm length at three half-turns (specified as four-point-star-O previously and abbreviated as 4PSO tiles here) to assemble DNA tubes and flat 2D arrays, we report here the cross-hybridization weaving architectures at the tile center to construct three new 3PSO tiles with circular DNA oligonucleotides of 96-nt (nucleotides) serving as the scaffolds, further the monotonous and combinatory E- and O-tilings on one type of 3PSO tiles to create 2D Archimedean tiling patterns (6.6.6) and (4.8.8), and finally, the combination of 3PSO with 4PSO as well as 2PSO tiles to tile into complex tessellation patterns. The easy realization of regular and intricate DNA tessellations with 2–4PSO tiles not only richens the fundamental DNA modules and complex DNA nanostructures in types but also broadens the potential application scopes of DNA nanostructures in nanofabrication, DNA computing, biomedicine, etc.

中文翻译：

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核心臂长度为三个半匝的三点星形脱氧核糖核酸瓦片，用于二维阿基米德瓦片及以上

由软材料（包括模块化 DNA 瓦片）组装而成的二维阿基米德瓦片和复杂的镶嵌图案因其特定的结构和在纳米制造、纳米电子学、纳米光子学、生物医学传感、药物输送、治疗学等方面的潜在应用而引起了人们的极大兴趣。传统的三和四-核心臂长为两个半圈的点星型 DNA 瓦片（之前指定为三点星型和四点星型 E，此处缩写为 3PSE 和 4PSE 瓦片）已被应用于通过调整在平铺中心的辅助链上插入n 个T（n = 1–7，T 是胸腺嘧啶）环。根据我们最近的发现，使用核心臂长度为三个半圈的新型四点星形瓷砖（之前指定为四点星形-O，此处缩写为 4PSO 瓷砖）来组装 DNA 管和平面 2D阵列，我们在这里报告了平铺中心的交叉杂交编织架构，以构建三个新的 3PSO 平铺，其中 96-nt（核苷酸）的环状 DNA 寡核苷酸作为支架，进一步在一个平铺上单调和组合的 E-和 O-平铺类型的 3PSO 平铺来创建 2D 阿基米德平铺图案 (6.6.6) 和 (4.8.8)，最后，将 3PSO 与 4PSO 以及 2PSO 平铺相结合以平铺成复杂的镶嵌图案。利用2-4PSO瓦片轻松实现规则且复杂的DNA镶嵌，不仅丰富了基本DNA模块和复杂DNA纳米结构的类型，而且拓宽了DNA纳米结构在纳米加工、DNA计算、生物医学等方面的潜在应用范围。