Abstract
It is known that the crease patterns of origami tessellations based on twist folds are generated by applying a simple geometrical operation, shrink and rotate, to the tiling patterns with polygons which have a geometric property of Maxwell's reciprocal figure. We propose an interactive system for designing the origami tessellations with symmetry by using voronoi diagrams. The system provide an interface for assigning valid and symmetrical mountain and valley flags to foldings.