@article{oai:nagoya.repo.nii.ac.jp:00009492, author = {Hayashida, Kenichi and Dotera, Tomonari and Takano, Atsushi and Matsushita, Yushu}, issue = {19}, journal = {PHYSICAL REVIEW Lett}, month = {May}, note = {A mesoscopic tiling pattern with 12-fold symmetry has been observed in a three-component polymer system composed of polyisoprene, polystyrene, and poly(2-vinylpyridine) which forms a star-shaped terpolymer, and a polystyrene homopolymer blend. Transmission electron microscopy images reveal a nonperiodic tiling pattern covered with equilateral triangles and squares, their triangle/square number ratio of 2.3 (≈4/√3), and a microbeam x-ray diffraction pattern shows dodecagonal symmetry. The same kind of quasicrystalline structures have been found for metal alloys (~0:5 nm), chalcogenides (~2 nm), and liquid crystals (~10 nm). The present result (~50 nm) confirms the universal nature of dodecagonal quasicrystals over several hierarchical length scales.}, pages = {195502--195502}, title = {Polymeric Quasicrystal: Mesoscopic Quasicrystalline Tiling in ABC Star Polymers}, volume = {98}, year = {2007} }