An electric paper apparatus comprised of a single sheet of components, and a method of forming same, are provided. The single layer includes display elements, such as bi-stable pixel structures, and conductive particles, both preferably embedded in an insulating matrix of material (e.g. non-conductive particles). The display elements, or bi-stable pixel structures, take the exemplary form of microencapsulated bichromal spheres. The conductive particles serve as both conductive islands and as a ground plane. In this regard, the conductive particles form a discontinuous random pattern of conductive islands on one side of the sheet, and a continuous electrically conductive percolative network, or ground plane, on the other side of the sheet. This is accomplished by varying the effective percolation threshold across the thickness of the sheet. Doing so will provide particles on one side that are below the percolation threshold (e.g. the conductive islands) while the particles on the other side (e.g. the ground plane) are above the percolation threshold.