The extended face planes of symmetric polyhedra form a set of interconnected canvases that can be used as the basis for a wide range of sculptural forms. A special-purpose software tool is described which allows the user to select families of such planes, to draw within them, to maintain constraints concerning points lying on their intersections, to view and modify the results interactively in real time, and to output the result for production either as 3D rapid prototyping or 2D laser-cutting, etc. A range of examples demonstrate the versatility of the approach.