Disclosed is a chip and method of forming the chip with improved conductive pads that allow for flexible C4 connections with a chip carrier or with another integrated circuit chip. The pads have a three-dimensional geometric shape (e.g., a pyramid or cone shape) with a base adjacent to the surface of the chip, a vertex opposite the base and, optionally, mushroom-shaped cap atop the vertex. Each pad can include a single layer of conductive material or multiple layers of conductive material (e.g., a wetting layer stacked above a non-wetting layer). The pads can be left exposed to allow for subsequent connection to corresponding solder bumps on a chip carrier or a second chip. Alternatively, solder balls can be positioned on the conductive pads to allow for subsequent connection to corresponding solder-paste filled openings on a chip carrier or a second chip.