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Nonagon conjecture for the Cheeger constant at fixed diameter and circumradius
Let $\mathcal{K}^2$ denote the class of planar convex sets, and let $h(\Omega)$ , $d(\Omega)$ , and $R(\Omega)$ denote respectively the Cheeger constant, diameter, and circumradius.…
Conjectureopencheeger-constant constant-width-geometry convex-geometryarXiv posted 2 days ago

Nonagon conjecture for the Cheeger constant at fixed diameter and circumradius