Holonomic (robotics)
![](../I/m/UranusOmniDirectionalRobotPodnar.png)
URANUS - a holonomic mobile robot
A robot is holonomic if the controllable degrees of freedom are equal to the total degrees of freedom.
Examples
Two dimensions
Consider a two-dimensional space; the degrees of freedom are the x axis, y axis, and rotation about the origin. In this space, a mobile base with three omnidirectional wheels in a triangular configuration would be considered holonomic, but a tricycle would not (due to the parallel parking problem).
One dimension
Consider a one-dimensional space; there is only one degree of freedom: the x axis. An example of this system is rail transport, and in such a system the trains would be considered holonomic.