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. 2020 Aug 21;11:4197. doi: 10.1038/s41467-020-17685-5

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© The Author(s) 2020

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 1 — a The cell decomposition for 2D wallpaper group Pm. The mirror line is the vertical dashed line. b The cell decomposition for 2D wallpaper group P2. The rotation center is marked in red. In both panels, the independent cells are labeled by σ_1,2,3,… (τ for 1-cell and μ for 0-cell), and the other cells are labeled as gσ with g ∈ G. Their orientations are marked by arrows.