Symbolic Dynamics of a Piecewise Rotation: Case of the bijective symmetric maps

To appear in The African diaspora journal of mathematics International audience We consider a specific piecewise rotation of the plane that is continuous on two half-planes, as studied by some authors like Boshernitzan, Goetz and Quas. If the angle belongs to the set , we give a complete description of the symbolic dynamics of this map in the non symmetric bijective case.