The invention provides, inter alia, a system for the intralogistic transport of products, comprising—a number of vehicles, where each vehicle is designed to turn on a vertical turning axis where, viewed from above, there is a maximum distance amax between the vertical turning axis and a point on the periphery of the vehicle; —a central control device that is designed to transmit control signals to on-board control devices of the vehicles, wherein the central control device and/or the on-board control device of at least a portion of the number of vehicles comprise a digitized grid of grid points that represents a movement area or at least a portion thereof, which grid points are arranged at least partially according to a hexagonal pattern where the distance between neighbouring grid points is equal to distance d, which distance d is greater than 2.0 times the maximum distance amax, wherein the central control device and/or the on-board control device of at least a portion of the number of vehicles are designed to move a vehicle within a strip, which strip consists of at least two mutually connected straight strip portions that run parallel to one of three directional lines defined by pairs of grid points.