  We prove, in all dimensions $n\geq 2$, that there exists a convex translator
lying in a slab of width $\pi\sec\theta$ in $\mathbb{R}^{n+1}$ (and in no
smaller slab) if and only if $\theta\in[0,\frac{\pi}{2}]$. We also obtain
convexity and regularity results for translators which admit appropriate
symmetries and study the asymptotics and reflection symmetry of translators
lying in slab regions.
