Under the referential of a ternary logic, this article aims to focus on the geographical map perceived as a visual object and the question of surfaces of representation. We analyse the status of map making versus landscape representation, the relations between a map and a painted picture. A ternary model of the pictural composition perspective|light/pictural field is proposed. The frame of the map, articulating the space that is cut out and the space included is discussed in a parallel between maps and painted pictures.