GL has a good point: depends on your definition. "DOF" means different things to different people.
I thought it would be this:
The mobile robot's coordinate system, relative to any static WORLD coordinate system, is 6DOF. Resolved to Caresian coordinates this is [X, Y, Z, RX, RY, RZ] . Assuming this gizmo can move across a topographical terrain, then there are really no constraints. I visualize a little buggy moving over a surface and I see the mobile robot's coordinate system moving in all translations and orientations.
TygerDawg
Blue Technik LLC
Virtuoso Robotics Engineering