The optimal trajectories are known analytically for only a few ground vehicles: steered cars (Dubins 1957; Reeds & Shepp 1990), and wheel-chair-like differential-drive vehicles (Balkcom & Mason 2002). This paper presents the analytical time-optimal trajectories for a kinematic model of a vehicle of a new class, shown in figure 1(a). The wheels are omniwheels; unlike regular wheels, omniwheels s...