Abstract: Resilient electrical interconnects are provided which have a non-uniform cross section which achieves an increased range of deflection and a predetermined relationship between compression force and deflection of the interconnect, and between resistance and deflection of the interconnect. A smaller cross sectional area decreases the spring rate, or compression force, of the interconnect during compression. Increased range of deflection and reduced spring rate enables improved compensation for surface irregularities and facilitates mounting of integrated circuit or other devices having large arrays of interconnects. The non-uniform cross section is provided by a single or compound slope, or alternatively a nonlinear curve, from the end of smaller cross-section to the end of larger cross-section.