Abstract: Extended surface fluid contact panels which in a preferred embodiment include a plurality of thin, waffled or corrugated half polygonal panel segments joined to define the panels, the latter of which are connected in offset, stacked relationship to define a repetitive polygonal matrix and create liquid-gas contact areas on the inside and outside surfaces of the panels. The panel matrix is vertically oriented in a staggered, layered array with respect to the tower or structure in which the panels are placed and in a most preferred embodiment, the respective panel layers are vertically arrayed and staggered by means of vertical connectors which are provided with projecting tabs that match corresponding sockets in the panels.