A method of constructing a mattress includes placing a first ribbon about a perimeter surface of a foam member. The first ribbon includes a top lip and a bottom lip. A second ribbon is placed about a perimeter surface of the first ribbon. A third ribbon is placed about a perimeter surface of the second ribbon. The top lip of the first ribbon is folded over the top surface of the second ribbon. The bottom lip of the first ribbon is folded over the bottom surface of the second ribbon. A first fabric panel is bonded to the top surface of the first foam member and to the top lip of the first ribbon. A second fabric panel is bonded to the bottom surface of the first foam member and to the bottom lip of the first ribbon.