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- W2777881781 abstract "In 1885, Fedorov discovered that a convex domain can form a lattice tiling of the Euclidean plane if and only if it is a parallelogram or a centrally symmetric hexagon. It is known that there is no other convex domain which can form two-, three- or four-fold translative tiling in the Euclidean plane, but there are centrally symmetric convex octagons and decagons which can form five-fold translative tilings. This paper characterizes all the convex domains which can form five-fold translative tilings of the Euclidean plane." @default.
- W2777881781 created "2018-01-05" @default.
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- W2777881781 date "2017-12-26" @default.
- W2777881781 modified "2023-09-23" @default.
- W2777881781 title "Characterization of the Two-Dimensional Five-Fold Translative Tiles" @default.
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- W2777881781 doi "https://doi.org/10.48550/arxiv.1712.09732" @default.
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