Unveiling the Fascinating World of Quasicrystals: The Einstein Tile’s Influence on the Predicted Hat-Based Quasicrystal




Physics is being revolutionized by the unique “hat” shape that has amazed mathematicians. Scientists have now‌ forecasted the characteristics of a two-dimensional⁢ material based on this hat shape, ​known as ‍a quasicrystal. This material, which is orderly​ like a crystal⁤ but with non-repeating atomic arrangements, shares similarities with graphene, a crystalline ‍material. The findings of this study are reported in a forthcoming paper in Physical Review Letters, and physicist Sinéad ⁤Griffin‌ of Lawrence​ Berkeley National Laboratory describes it as⁤ a “really fun study.” Previously, mathematicians required multiple shapes to cover an ⁤infinite plane in a nonrepeating ​manner, but the hat shape ⁤has changed that. Some earlier nonrepeating tilings, such as Penrose tilings, have connections ⁢to real-world materials, including quasicrystals ⁢found in meteorites ⁣and atomic bomb test⁤ debris, as well as those ​created in the lab (SN:‌ 5/17/21).

2024-01-25 11:00:00
Source from www.sciencenews.org

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