  A graph is maximal knotless if it is edge maximal for the property of
knotless embedding in $R^3$. We show that such a graph has at least $\frac74
|V|$ edges, and construct an infinite family of maximal knotless graphs with
$|E| < \frac52|V|$. With the exception of $|E| = 22$, we show that for any $|E|
\geq 20$ there exists a maximal knotless graph of size $|E|$. We classify the
maximal knotless graphs through nine vertices and 20 edges. We determine which
of these maxnik graphs are the clique sum of smaller graphs and construct an
infinite family of maxnik graphs that are not clique sums.
