Abstract: An electrical resistance device includes a conductive metal pattern carried on an insulating surface. A portion of the conductive metal pattern includes a two-dimensional array of areas devoid of conductive material ("voids") within a mesh of conductive material. Typically, the voids are hexagonal and are arranged such that the adjacent edges of adjacent hexagons are parallel to each other and spaced apart a distance not more than about 0.10 in. The hexagonal voids typically are arranged so that the centers of sets of three adjacent voids lie on the corners of equilateral triangles.

Abstract: This invention discloses a fiber optic lens holder and lamp assembly for use in lighting systems used beneath carpets and other types of floor or wall coverings. The lens assembly includes a housing having a cavity for receiving the lamp, an optically transparent web portion adjacent to the lamp cavity, and an annular end portion for receiving a bundle of optical fibers. The optical fibers are fused together at one end, preferably in a point, and are secured in the housing at the other within the annular section. The lens and lamp assembly is installed, typically with a flat cable conductor assembly, on the floor prior to laying of the carpet. Holes are cut in the carpet corresponding with the locations for the fiber optic bundles. The fiber optic bundles are passed through these holes as the carpet is laid down. After the carpet is laid down, the fused end of each bundle is cut off, freeing the fiber ends from fusion with each other so that the fiber ends are flush with the surface of the carpet.