In a partition system partitions there are two or more doors, positioned in a common plane. Adjacent doors have angled sides that meet when the doors are closed. Each door is attached to a post or partition by a pair of hinges and is mounted so that there is a space adjacent each side surface of the doors when the front surfaces of those doors are parallel to the common plane. When the front surfaces of those doors are parallel to the common plane each door is mounted so that and any sight line through each space will intersect at least one of the spaced apart posts and the spaced apart partitions when the front surfaces of the doors are parallel to the common plane.The hinges may provide an axis of rotation that is inward from the edge of the door. The partitions are preferably mounted on frame members that have an L-shaped or inverted T-shaped cross-section. The partitions have a slot along one side which receives the upright portion of the frame members.