Symbolic codes for rotational orbits and “islands-around-islands” are constructed for the
quadratic, area-preserving H´enon map. The codes are based upon continuation from an antiintegrable
limit, or alternatively from the horseshoe. Given any sequence of rotation numbers
we obtain symbolic sequences for the corresponding elliptic and hyperbolic rotational orbits.
These are shown to be consistent with numerical evidence. The resulting symbolic partition
of the phase space consists of wedges constructed from images of the symmetry lines of the