  We design and simulate the motion of a new swimmer, the {\it Quadroar}, with
three dimensional translation and reorientation capabilities in low Reynolds
number conditions. The Quadroar is composed of an $\texttt{I}$-shaped frame
whose body link is a simple linear actuator, and four disks that can rotate
about the axes of flange links. The time symmetry is broken by a combination of
disk rotations and the one-dimensional expansion/contraction of the body link.
The Quadroar propels on forward and transverse straight lines and performs full
three dimensional reorientation maneuvers, which enable it to swim along
arbitrary trajectories. We find continuous operation modes that propel the
swimmer on planar and three dimensional periodic and quasi-periodic orbits.
Precessing quasi-periodic orbits consist of slow lingering phases with cardioid
or multiloop turns followed by directional propulsive phases. Quasi-periodic
orbits allow the swimmer to access large parts of its neighboring space without
using complex control strategies. We also discuss the feasibility of
fabricating a nano-scale Quadroar by photoactive molecular rotors.
