Abstract
Tilings formed with convex regular polygons are known as k-uniform tilings if there are precisely k different kinds of vertices in the tiling. Archimedes tilings with one kind of vertex are known as 1-uniform tilings. Here we propose a strategy that combines two types of symmetric DNA junction tiles to create two kinds of Archimedean tilings (3,3,3,3,6 and 3,6,3,6) respectively, where there are many influence factors, such as the arm length ratios and stick-ends interactions between two motifs, sequences in arms and stick-ends, the mole concentration ratios between the internal and external of motifs. Archimedean tilings show periodic polygonal tessellations which have fine geometrical symmetry, so we can locate AuNPs, fluoresceins and other biomarkers to different sites in planar structures. These biomarkers assist in revealing various observations under the microscope. Besides, it is expected to produce conductivity, fluorescence and Raman Effect in different levels with the help of biomarkers. In addition, these self-assembly Archimedean Tilings have potential to form quasi-crystals.
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