A note on the concurrent normal conjecture (Q2095128)

Recently \textit{Y. Martinez-Maure} [Mathematika 68, No. 3, 620--650 (2022)] proved, for \(n \in \{3, 4\}\), that (under some mild conditions) almost every normal through a boundary point to a smooth convex body \(K \subset \mathbb{R}^n\) passes arbitrarily close to the set of points lying on normals through at least six distinct points of \(\partial K\). In this paper, the authors give a short and elegant proof of this result, for any dimension \(n \geq 3\).