Reticulated structures are increasingly represented in industry. They are lighter than traditional structures which allows weight saving. So they can be the best choice when material gain offsets the production cost which is an optimization purpose.In this paper, we propose an algorithm to generate automatically a reticulated structure. We particularly study non-convex conception domains which can be decomposed into a finite number of convex sub-domains, specially polygons. This solution generates a structure with an optimum form based on an algorithm that works on convex design domains.