The timepiece includes a case formed of a back cover and a middle part closed by a glass arranged above a dial with an analogue or digital display, delimiting the housing of a watch movement, said glass being surrounded by two external rotating top and bottom bezels, superposed on a shoulder of the middle part. It is characterized in that the two bezels and the shoulder have identical or similar non-circular or non-symmetrical contours in relation to the center of the dial in the superposed position, and in that the bezels can occupy a first rest position in which concealed parts of the shoulder and/or concealed parts of the bottom bezel are made visible after rotation of at least one bezel.
