  The notion of an unexpected curve in the plane was introduced in 2018, and
was quickly generalized in several directions in a flurry of mathematical
activity by many authors. In this expository paper we first describe some of
the main results on unexpected hypersurfaces. Then we summarize two offshoots
of this theory. First we look at sets of points in $\mathbb P^3$ whose general
projection is a planar complete intersection (so-called {\it geproci} sets).
Although we now know a lot about these sets, much remains mysterious. Then we
describe an interesting measure of unexpectedness called {\it $AV$-sequences},
which have a surprising structure that is not yet fully understood.
