  We study the geometry associated with the kinematics of a planar robot known
as the "three-segment snake," whose velocity distribution belongs to a class of
(2,3,5) distributions. We discover that, under certain assumptions on its
construction parameters, the snake may be endowed with a CR structure of CR
dimension 1 and real codimension 3. We solve the associated Cartan equivalence
problem and find the invariants of the snake's CR structure.
