Author

Andrii Arman

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Preprint Jul 2026

On Gr\"unbaum's problem for symmetric configurations

Let $g_n$ be the largest number of Euclidean balls of diameter $1$ which may be needed to cover a set of diameter $1$ in $\mathbb{R}^n$. We study this problem for finite sets invariant under all coordinate permutations. We prove that the exponential growth rate in this symmetric problem can be characterized exactly as...

Andrii Arman, A. Bondarenko, A. Prymak et al. · 0 citations