A micromechanical resonator structure including a plurality of straight or substantially straight beam sections that are connected by curved or rounded sections. Each elongated beam section is connected to another elongated beam section at a distal end via the curved or rounded sections thereby forming a geometric shape having at least two elongated beam sections that are interconnected via curved or rounded sections (for example, a rounded triangle shape, rounded square or rectangle shape). The structure includes one or more nodal points or areas (i.e., portions of the resonator structure that are stationary, experience little movement, and/or are substantially stationary during oscillation of the resonator structure) in one or more portions or areas of the curved sections of the structure. The nodal points are suitable and/or preferable locations to anchor the resonator structure to the substrate. In operation, the resonator structure oscillates in a combined elongating (or breathing) mode and bending mode; that is, the beam sections (which oscillate or vibrate at the same frequency) exhibit an elongating-like (or breathing-like) motion and a bending-like motion.