A tamper-resistant fastener such as a nut for a bicycle has a smoothly rounded generally dome-shaped body and one or more recesses formed into the body. Each recess has a first and open ended portion which is bounded on radially inward side but not on the radially outward side, and a second and closed ended portion which is bounded on both the radially inward side and the radially outward side. Additionally, each recess can have an additional notch formed therein, the recess and notch together forming a major and minor recess. A wall which bounds the radially inward side of the recess decreases in radial distance from the central axis of the nut as the recess proceeds in the circumferential direction. A mating wrench has teeth that match the recesses and, if present, the notches.