Implicitly defined structures such as triply periodic minimal surfaces (TPMS) have potential applications in science, technology, engineering, arts and mathematics. TPMS Designer is a tool for rapidly generating, visualizing and analyzing implicitly defined structures. The software allows users to parametrically modify the size, aspect ratio, rotation, and resolution of a structure. Cellular volume fraction can be adjusted using surface type and isovalue options. TPMS Designer includes tools for importing and exporting to traditional computer aided design programs. Properties of a surface such as orientation and curvature can be analyzed using in-built visualization techniques.