The resonant plasmonic properties of small dual rounded nanoscatterers are numerically investigated. A set of silver (Drude-like) hexahedral and octahedral structures are studied and compared with a reference spherical particle through a numerical surface integral equation technique. Surface, near-field, Poynting field, and streamline distributions are presented illustrating novel plasmonic features arising from the complex shapes of the nanoparticles, while several designing rules are described. These qualitative observations can be used appropriately toward sensing, sorting, harvesting, and radiation control applications.