New lower bounds on $χ(R^d)$ for $d=8 \dots 12$

preprint2014arXivOpen access

We improve the best lower bounds on the chromatic number of Euclidean space in small dimensions. The new results depend on extensive computations in Sage.

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New lower bounds on $χ(R^d)$ for $d=8 \dots 12$

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New lower bounds on χ(Rd)χ(R^d)χ(Rd) for d=8…12d=8 \dots 12d=8…12

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New lower bounds on $χ(R^d)$ for $d=8 \dots 12$