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- W4301037781 abstract "Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all quasicrystals occurring in soft-matter are of the dodecagonal type. Here, we investigate a class of aperiodic tilings with hexagonal symmetry that are based on rectangles and two types of equilateral triangles. We show how to design soft-matter systems of particles interacting via pair potentials containing two length-scales that form aperiodic stable states with two different examples of rectangle--triangle tilings. One of these is the bronze-mean tiling, while the other is a generalization. Our work points to how more general (beyond dodecagonal) quasicrystals can be designed in soft-matter." @default.
- W4301037781 created "2022-10-04" @default.
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- W4301037781 date "2022-08-03" @default.
- W4301037781 modified "2023-09-23" @default.
- W4301037781 title "Rectangle--triangle soft-matter quasicrystals with hexagonal symmetry" @default.
- W4301037781 doi "https://doi.org/10.48550/arxiv.2208.02139" @default.
- W4301037781 hasPublicationYear "2022" @default.
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