  The *reciprocal complement* $R(D)$ of an integral domain $D$ is the subring
of its fraction field generated by the reciprocals of its nonzero elements.
Many properties of $R(D)$ are determined when $D$ is a polynomial ring in
$n\geq 2$ variables over a field. In particular, $R(D)$ is an $n$-dimensional,
local, non-Noetherian, non-integrally closed, non-factorial, atomic G-domain,
with infinitely many prime ideals at each height other than $0$ and $n$.
