A nondisassembling partition assembly comprising a partition matrix made up of intersecting first and second slotted plastic partitions, each of the partitions having at least one slot. The slots of the partitions are engaged with each other at a plurality of intersections. The matrix is held together in a nondisassembling relationship by at least one parent weld formed by heating an edge of the partitions at one or more intersections with one or more heat sources until the intersecting partitions become molten, removing the heat source or sources from edge of the intersecting partitions and allowing the partitions to cool. The parent welds formed by this process permanently secure the partitions together in the nondisassembling relationship without the use of any material other than the partitions themselves. A supporting net may be permanently secured to one edge of the partition matrix by either placing the net in contact with heated edges of the partitions while the edges of the partitions are molten and then allowing the edges of the partitions to cool, or by placing both the net and the edge of the matrix proximate a heat source to melt both and then when molten, distancing both from the heat source and allowing both to cool.