A system may be configured to manufacture a layered cage of a trim. Some embodiments may additively manufacture, in each of a plurality of layers, a plurality of channels each having a cross section such that an amount of the layers satisfies a criterion, the cross section being defined by vertical walls, angular portions that extend from the walls, and a shaped top and/or bottom intersecting with angular portions. And the channels of one of the layers may not intersect with any other channel of any other layer of the cage.