Zigzag-front peak-angle convergence conjecture

Let $\theta$ be the direction of a zigzag front, and let $\theta_{\mathrm{m}}(t)$ and $\theta_{\mathrm{p}}(t)$ determine the two angles forming a peak, namely $\theta-\theta_{\mathrm{m}}(t)$ and $\theta+\theta_{\mathrm{p}}(t)$. Let $\theta_*$ and $\theta^*$ be the angles of the two closest contact points between the Frank diagram and its convex hull, with $\theta_*$ the smaller angle. Zigzag-front peak-angle conjecture. The angles of the peaks of the zigzag front caused by destabilization asymptotically approach the angles of the contact points between the Frank diagram and its convex hull; in particular,

$$\theta-\theta_{\mathrm{m}}(t)\rightarrow\theta_*,\qquad \theta+\theta_{\mathrm{p}}(t)\rightarrow\theta^*$$

as $t\to\infty$. This conjecture describes the asymptotic selection of the angles of destabilized zigzag fronts, and the paper reports numerical evidence supporting it.