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- W4298159313 abstract "We present experiments of sandpiles on grids (square, triangular, hexagonal) and Penrose tilings. The challenging part is to program such simulator; and our javacript code is available online, ready to play! We first present some identity elements of the sandpile group on these aperiodic structures, and then study the stabilization of the maximum stable configuration plus the identity, which lets a surprising circular shape appear. Roundness measurements reveal that the shapes are not approaching perfect circles, though they are close to be. We compare numerically this almost isotropic dynamical phenomenon on various tilings." @default.
- W4298159313 created "2022-10-01" @default.
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- W4298159313 date "2020-06-11" @default.
- W4298159313 modified "2023-09-26" @default.
- W4298159313 title "Sandpile toppling on Penrose tilings: identity and isotropic dynamics" @default.
- W4298159313 doi "https://doi.org/10.48550/arxiv.2006.06254" @default.
- W4298159313 hasPublicationYear "2020" @default.
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