Abstract: Several implementations of a fan folding mechanism for folding flaps of a case into a fan fold arrangement are disclosed and described. In one implementation, the fan folding mechanism comprises four shoes, arranged to allow one shoe to contact a flap on each of four sides of the case. A finger, carried by each of the four shoes is configured for movement between a retracted position and an extended position, such that in the retracted position, each finger is in contact with a leading corner of a different flap of the case and the flaps are in an open position and in the extended position, each finger is in contact with the same leading corner of the same flap, and the flap is in the closed position. Four suction cups, each configured for releasable attachment to a trailing corner of a flap, may inhibit contention between flaps.