2 problems

Fejes Tóth's hexagonal density conjecture. For any $\mu\in(\sqrt{3}-1,1)$ and any $\mu$-arrangement $\mathcal{F}$ in $\mathbb{R}^2$,

Finite-disk area-bound conjecture. The displayed statement in Remark 3 holds for every $\mu$-arrangement of finitely many disks with $\sqrt{3}-1<\mu<1$.