A sensor has parallel upper pickup lines in an upper conductive layer, parallel lower pickup lines in a lower conductive layer, parallel drive lines oriented transversely to the upper and lower pickup lines in a middle conductive layer, a first insulating layer separating the upper pickup lines from the drive lines, and a second insulating layer opposite the first insulating layer and separating the lower pickup lines from the drive lines. Upper electrode pairs are defined at locations where an upper pickup electrode crosses a drive line, and each upper electrode pair has an impedance that is sensitive to a first object contacting or in close proximity to the upper electrode pair. Lower electrode pairs are defined at locations where a lower pickup line crosses a drive line, and each lower electrode pair has an impedance that is sensitive to a second object contacting or in close proximity to the lower electrode pair.