  We construct several smooth finite element spaces defined on
three--dimensional Worsey--Farin splits. In particular, we construct $C^1$,
$H^1(\curl)$, and $H^1$-conforming finite element spaces and show the discrete
spaces satisfy local exactness properties. A feature of the spaces is their low
polynomial degree and lack of extrinsic supersmoothness at sub-simplices of the
mesh. In the lowest order case, the last two spaces in the sequence consist of
piecewise linear and piecewise constant spaces, and are suitable for the
discretization of the (Navier-)Stokes equation.
