  We study varieties $\mathcal{A}_n$ arising as equivariant compactifications
of the space of $n$ points in $\mathbb{C}$ up to overall translation. We define
$\mathcal{A}_n$ and examine its basic geometric properties before constructing
an isomorphism to an augmented wonderful variety. We show that $\mathcal{A}_n$
is in a canonical way a resolution of the space $\overline{P}_n$ considered by
Zahariuc, proving along the way that the resolution constructed by Zahariuc is
equivalent to ours.
