A utility bucket backpack apparatus having an upper strap and a lower strap may have each of the upper and lower straps connected to two backpack straps. The network can include a first stage of M nodes and a second stage of N nodes. The restraint member includes a first opening located at a first end and a second opening located at a second end opposite the first end. The upper edge of a first inner side wall of a first receptacle extends downwards from a first intersection between the first inner side wall and one first outer side wall, to a point where the upper edge has a height which is lower than the height of any upper edge of each outer side wall of the first receptacle. First and second adjacent metal line patterns of the plurality of metal line patterns are spaced apart from each other by a space, and each of the first and second adjacent metal line patterns has at least one slit.