  We construct a translating solution to anisotropic curve shortening flow and
show that for a given anisotropic factor $g:S^1\to\mathbb{R}_+$, and a given
direction and speed, this translator is unique. We then construct an ancient
compact solution to anisotropic curve shortening flow, and show that this
solution, along with the appropriate translating solution, are the unique
solutions to anisotropic curve shortening flow that lie in a slab of a given
width and no smaller.
