The paper studies symmetry properties of the karyon tilings T of the torus đť•‹d of an arbitrary dimension d. The following main results are obtained: the tilings T are shift-invariant relative to the canonical shift of the torus đť•‹d; this is a fundamental property of the karyon tilings; nondegenerate karyon tilings T possess 2d symmetries.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 502, 2021, pp. 74–121.
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Zhuravlev, V.G. Symmetry Properties of Karyon Tilings. J Math Sci 264, 150–182 (2022). https://doi.org/10.1007/s10958-022-05985-8
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DOI: https://doi.org/10.1007/s10958-022-05985-8