Explicit partitions of variants of the truncated Lassak cover establish b(4) ≤ 8.
Define G1 ={c0 +r·(p− (1/ 2,..., 1/ 2)) : p∈ G}, which corresponds to the discretized boundary of a hypercub e centered at c0
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Reducing the upper bound for the Borsuk number in $\mathbb{R}^4$ to 8
Explicit partitions of variants of the truncated Lassak cover establish b(4) ≤ 8.