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- W4283692012 abstract "It has been common knowledge since 1950 that seven colours can be assigned to tiles of an infinite honeycomb with cells of unit diameter such that no two tiles of the same colour are closer than $d(7)=frac{sqrt{7}}{2}$ apart. Various authors have described tilings using $k>7$ colours, giving corresponding values for $d(k)$, but it is generally unknown whether these are the largest possible for a given $k$. Here, for many $k$, we describe tilings with larger values of $d(k)$ than previously reported." @default.
- W4283692012 created "2022-06-30" @default.
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- W4283692012 date "2022-06-25" @default.
- W4283692012 modified "2023-10-15" @default.
- W4283692012 title "Tiling the plane with hexagons: improved separations for $k$-colourings" @default.
- W4283692012 doi "https://doi.org/10.48550/arxiv.2206.12635" @default.
- W4283692012 hasPublicationYear "2022" @default.
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