A series of novel sculpture-puzzles is illustrated, with mathematical explanation. Each consists of a set of identical parts that snap together into a symmetric form. The parts are flat, so they can be cut out or stamped from sheet materials such as wood, metal, plastic, or cardboard. High accuracy is required for the parts to mate properly, so computer-controlled fabrication technologies are useful. The examples shown were made by laser-cutting, by solid freeform fabrication techniques, or by scissors and paper. Their intricate geometric forms make for challenging assembly puzzles and attractive artworks. A template and instructions show how to make one from paper.