A strange "sphere" computed (by P. Miara) in the singular metric
of the car !...
This sphere contains the set of configurations reachable by the car with a
path whose length is lesser than a given value (the "radius" of the sphere).
J.P. Laumond and P. Souères, "Metric induced by the shortest paths
for a car-like robot" in IEEE/RSJ Int. Conf. on Intelligent Robots and
Systems, Yokoama, July 1993
P. Souères and J.P. Laumond, "Shortest path synthesis for a car-like
robot" in IEEE Transaction on Automatic Control, 41 (5), May 1996.
... and what would be the shadows if the light would
follow such a metric ?
... and how does the "sphere"
look like if the car moves only forward ?
