A method includes applying a final etch-resistant material to an in-process substrate so that the final etch-resistant material at least partially covers first microcontact portions integral with the substrate and projecting upwardly from a surface of the substrate, and etching the surface of the substrate so as to leave second microcontact portions below the first microcontact portions and integral therewith, the final etch-resistant material at least partially protecting the first microcontact portions from etching during the further etching step. A microelectronic unit includes a substrate, and a plurality of microcontacts projecting in a vertical direction from the substrate, each microcontact including a base region adjacent the substrate and a tip region remote from the substrate, each microcontact having a horizontal dimension which is a first function of vertical location in the base region and which is a second function of vertical location in the tip region.