tower 32 b simultaneously reaches the lower lateral transfer area 36 b vertical movement of the vertical movement chains 26 stops when a platform 20 reaches a lateral transfer area 36 b or 30 a in the appropriate storage tower 32 responsible to any suitable sensing and stopping means known to those of ordinary skill in the art said platforms 20 are now in position to move laterally to the other storage tower 32 in one embodiment horizontal movement in the upper lateral transfer area 30 a b is accomplished with l shaped swing arms 64 the l shaped swing arms 64 are attached to a lateral movement means 72 with a hinge 70 the lateral movement means 72 has a sleeve 73 that is slidably circumscribed around the support structure 52 referring to fig1 a the automobile platforms 20 may have four slots 62 formed therein two of which are preferably located on each of the bottom longitudinal edges of said platform 20 these slots 62 receive the bottom portion 64 b of l shaped swing arms 64 as shown in fig1 c a partial view showing a side view of the swing arm 64 depicted in fig1 referring again to fig1 the l shaped swing arms 64 preferably robotically swing into position with the bottom portion 64 b of the swing arm 64 fitting in to the four slots 62 of the platform 20 in any suitable manner known to those skilled.