The existence of hypersolids in $\mathbb{E}^d$ whose Heesch number is $d-1$
Abstract
In a recent article, it was shown that the Heesch number in $\mathbb{E}^d$ is asymptotically unbounded for $d\to\infty$, by showing that, for each $d$ of the form $2^k$, there exists a hypersolid in $\mathbb{E}^d$ whose Heesch number equals $d-1$. We here show that the same holds not only for $d$ of the form $2^k$, but for any $d$, $d\geqslant 2$.
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Copyright (c) 2025 Bojan Bašić, Anna Slivková
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